http://www.openpipeflow.org/index.php?title=Database&feed=atom&action=history Database - Revision history 2024-03-29T08:19:26Z Revision history for this page on the wiki MediaWiki 1.39.1 http://www.openpipeflow.org/index.php?title=Database&diff=1060&oldid=prev Apwillis: /* Relative Equilibria (travelling waves) */ 2023-03-27T14:05:19Z <p><span dir="auto"><span class="autocomment">Relative Equilibria (travelling waves)</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:05, 27 March 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l23">Line 23:</td> <td colspan="2" class="diff-lineno">Line 23:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>See Pringle, Duguet and Kerswell (2009) for classification according to the [[Symmetries_of_pipe_flow]] that each solution carries.  The states feature prominently in the articles indicated below.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>See Pringle, Duguet and Kerswell (2009) for classification according to the [[Symmetries_of_pipe_flow]] that each solution carries.  The states feature prominently in the articles indicated below.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]] Kerswell <del style="font-weight: bold; text-decoration: none;">and Tutty </del>(2007)</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]] <ins style="font-weight: bold; text-decoration: none;">Pringle and </ins>Kerswell (2007)</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]] Pringle and Kerswell (2007)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]] Pringle and Kerswell (2007)</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]  </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]  </div></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=850&oldid=prev Apwillis at 15:33, 27 February 2019 2019-02-27T15:33:46Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 08:33, 27 February 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* '''For visualisation, data needs converting to real space'''.  See comments in the file &lt;tt>matlab/Readme.txt&lt;/tt> supplied with the code.</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains positions of radial points and Fourier spectral coefficients of the velocity perturbation evaluated at the radial points&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains positions of radial points and Fourier spectral coefficients of the velocity perturbation evaluated at the radial points&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* '''For visualisation, data needs converting to real space'''.  See comments in the file &lt;tt>matlab/Readme.txt&lt;/tt> supplied with the code.</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>To unpack</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>To unpack</div></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=846&oldid=prev Apwillis at 11:03, 25 February 2019 2019-02-25T11:03:00Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 04:03, 25 February 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains positions of radial points and Fourier spectral coefficients of the velocity perturbation evaluated the radial points&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains positions of radial points and Fourier spectral coefficients of the velocity perturbation evaluated <ins style="font-weight: bold; text-decoration: none;">at </ins>the radial points&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;For visualisation, data needs converting to real space&#039;&#039;&#039;.  See comments in the file &lt;tt&gt;matlab/Readme.txt&lt;/tt&gt; supplied with the code.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;For visualisation, data needs converting to real space&#039;&#039;&#039;.  See comments in the file &lt;tt&gt;matlab/Readme.txt&lt;/tt&gt; supplied with the code.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=845&oldid=prev Apwillis at 11:02, 25 February 2019 2019-02-25T11:02:40Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 04:02, 25 February 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains radial points and <del style="font-weight: bold; text-decoration: none;">for each the </del>Fourier spectral coefficients of the velocity perturbation&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains <ins style="font-weight: bold; text-decoration: none;">positions of </ins>radial points and Fourier spectral coefficients of the velocity perturbation <ins style="font-weight: bold; text-decoration: none;">evaluated the radial points</ins>&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;For visualisation, data needs converting to real space&#039;&#039;&#039;.  See comments in the file &lt;tt&gt;matlab/Readme.txt&lt;/tt&gt; supplied with the code.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;For visualisation, data needs converting to real space&#039;&#039;&#039;.  See comments in the file &lt;tt&gt;matlab/Readme.txt&lt;/tt&gt; supplied with the code.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=844&oldid=prev Apwillis at 11:00, 25 February 2019 2019-02-25T11:00:56Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 04:00, 25 February 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;Files may be loaded with with different parameter settings&#039;&#039;&#039;.  If there is a change in resolution, data will be interpolated or truncated automatically.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains spectral coefficients of the velocity perturbation&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;The state file contains <ins style="font-weight: bold; text-decoration: none;">radial points and for each the Fourier </ins>spectral coefficients of the velocity perturbation&#039;&#039;&#039;.  Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts.  Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see [[Core_implementation#Ordering_the_Fourier_modes]].</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;For visualisation, data needs converting to real space&#039;&#039;&#039;.  See comments in the file &lt;tt&gt;matlab/Readme.txt&lt;/tt&gt; supplied with the code.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &#039;&#039;&#039;For visualisation, data needs converting to real space&#039;&#039;&#039;.  See comments in the file &lt;tt&gt;matlab/Readme.txt&lt;/tt&gt; supplied with the code.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=843&oldid=prev Apwillis: /* Relative Periodic Orbits */ 2019-01-07T12:34:14Z <p><span dir="auto"><span class="autocomment">Relative Periodic Orbits</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 05:34, 7 January 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l30">Line 30:</td> <td colspan="2" class="diff-lineno">Line 30:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Periodic Orbits==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Periodic Orbits==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Lower Branch, Re=1712, m=2, alpha=0.125 (L=25D) [[File:Re1712.m2.RPO_LB.a0.125.tgz]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Lower Branch, Re=1712, m=2, alpha=0.125 (L=25D) [[File:Re1712.m2.RPO_LB.a0.125.tgz]]<ins style="font-weight: bold; text-decoration: none;">; Avila, Mellibovsky, Roland and Hof (2013); Chantry, Willis and Kerswell (2014).</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Upper Branch, Re=1700, m=2, alpha=0.125 (L=25D) [[File:Re1700.m2.RPO_UB.a0.125.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Upper Branch, Re=1700, m=2, alpha=0.125 (L=25D) [[File:Re1700.m2.RPO_UB.a0.125.tgz]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* Short-period RPO in minimal pipe, Re=2500, m=4, alpha=1.7 [[File:Re2500m4a1.7.RPO25.65.tgz]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* Short-period RPO in minimal pipe, Re=2500, m=4, alpha=1.7 [[File:Re2500m4a1.7.RPO25.65.tgz]]<ins style="font-weight: bold; text-decoration: none;">; Budanur, Short, Farazmand, Willis and Cvitanovic (2017).</ins></div></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=842&oldid=prev Apwillis: /* Relative Equilibria (travelling waves) */ 2019-01-07T12:28:56Z <p><span dir="auto"><span class="autocomment">Relative Equilibria (travelling waves)</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 05:28, 7 January 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22">Line 22:</td> <td colspan="2" class="diff-lineno">Line 22:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>See Pringle, Duguet and Kerswell (2009) for classification according to the [[Symmetries_of_pipe_flow]] that each solution carries.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>See Pringle, Duguet and Kerswell (2009) for classification according to the [[Symmetries_of_pipe_flow]] that each solution carries<ins style="font-weight: bold; text-decoration: none;">.  The states feature prominently in the articles indicated below</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]] Kerswell and Tutty (2007)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]] Kerswell and Tutty (2007)</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]] Pringle and Kerswell (2007)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]] Pringle and Kerswell (2007)</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]  </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]  </div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* N4U, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4U.tgz]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* N4U, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4U.tgz]] <ins style="font-weight: bold; text-decoration: none;">Willis, Cvitanovic &amp; Avila (2013)</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Periodic Orbits==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Periodic Orbits==</div></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=841&oldid=prev Apwillis: /* Relative Equilibria (travelling waves) */ 2018-12-19T14:44:31Z <p><span dir="auto"><span class="autocomment">Relative Equilibria (travelling waves)</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:44, 19 December 2018</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22">Line 22:</td> <td colspan="2" class="diff-lineno">Line 22:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">See Pringle, Duguet and Kerswell (2009) for classification according to the [[Symmetries_of_pipe_flow]] that each solution carries.</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]] <ins style="font-weight: bold; text-decoration: none;">Kerswell and Tutty (2007)</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]] <ins style="font-weight: bold; text-decoration: none;">Pringle and Kerswell (2007)</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]  </div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4U, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4U.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4U, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4U.tgz]]</div></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=840&oldid=prev Apwillis: /* Relative Equilibria (travelling waves) */ 2018-12-19T14:17:07Z <p><span dir="auto"><span class="autocomment">Relative Equilibria (travelling waves)</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:17, 19 December 2018</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l23">Line 23:</td> <td colspan="2" class="diff-lineno">Line 23:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Relative Equilibria (travelling waves)==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest Re <del style="font-weight: bold; text-decoration: none;">known </del>for TW) [[File:Re775.M1.a1.437.tgz]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* M1, Re=775, alpha=1.437 (lowest <ins style="font-weight: bold; text-decoration: none;">known </ins>Re for <ins style="font-weight: bold; text-decoration: none;">a </ins>TW) [[File:Re775.M1.a1.437.tgz]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]</div></td></tr> </table> Apwillis http://www.openpipeflow.org/index.php?title=Database&diff=712&oldid=prev Apwillis: /* Relative Periodic Orbits */ 2017-08-23T11:53:03Z <p><span dir="auto"><span class="autocomment">Relative Periodic Orbits</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 04:53, 23 August 2017</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l31">Line 31:</td> <td colspan="2" class="diff-lineno">Line 31:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Lower Branch, Re=1712, m=2, alpha=0.125 (L=25D) [[File:Re1712.m2.RPO_LB.a0.125.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Lower Branch, Re=1712, m=2, alpha=0.125 (L=25D) [[File:Re1712.m2.RPO_LB.a0.125.tgz]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Upper Branch, Re=1700, m=2, alpha=0.125 (L=25D) [[File:Re1700.m2.RPO_UB.a0.125.tgz]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Localised RPO, Upper Branch, Re=1700, m=2, alpha=0.125 (L=25D) [[File:Re1700.m2.RPO_UB.a0.125.tgz]]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* Short-period RPO in minimal pipe, Re=2500, m=4, alpha=1.7 [[File:Re2500m4a1.7.RPO25.65.tgz]]</ins></div></td></tr> </table> Apwillis