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'''Overview of the solver''' | '''Overview of the solver''' | ||
* [[File:TheOpenpipeflowSolver.pdf]] - An overview | * [[File:TheOpenpipeflowSolver.pdf]] - An overview of the code, its context, and how to cite Openpipeflow. | ||
'''Equations, properties, methods, etc.''': | '''Equations, properties, methods, etc.''': | ||
* [[Equations and parameters]] - Non-dimensionalisation, Navier-Stokes, Reynolds numbers. | * [[Equations and parameters]] - Non-dimensionalisation, Navier-Stokes, Reynolds numbers. | ||
* [[The PPE formulation]] - Pressure-Poisson Equation, and the influence matrix technique. | * [[The PPE formulation]] - Pressure-Poisson Equation, and the influence matrix technique. | ||
* [[Table of unit conversions]] - scale factors between code and 'lab' units. | |||
* [[Differential operators in cylindrical coordinates]] - grad, div, curl, Laplacian, etc. | * [[Differential operators in cylindrical coordinates]] - grad, div, curl, Laplacian, etc. | ||
* [[Symmetries of pipe flow]] - discrete and continuous symmetries. | * [[Symmetries of pipe flow]] - discrete and continuous symmetries. | ||
* [[Method of slices]] - symmetry reduction, elimination of physically irrelevant spatial shifts. | * [[Method of slices]] - symmetry reduction, elimination of physically irrelevant spatial shifts. | ||
* Newton- | * [[Newton-Krylov_method]] - generic code. See [[Utilities]] for the pipe implementation. | ||
'''Using the simulation code''': | '''Using the simulation code''': | ||
* [[Getting started]] - overview of files, | * [[Getting started]] - INSTALLATION, overview of files, setting up a job, starting and ending a job. | ||
* [[Tutorial]] - setup a job, basic monitoring and visualisation of outputs. | * [[Tutorial]] - setup a job, basic monitoring and visualisation of outputs. | ||
* [[Core implementation]] - Discretisation | * [[Core implementation]] - Discretisation, Predictor-Corrector, Code Structure, Parallelisation. | ||
* [[Parallel i/o]] - a brief note on parallel data access. | * [[Parallel i/o]] - a brief note on parallel data access. | ||
* [[Utilities]] - pre/post-processing, runtime processing and manipulations, Newton solver for pipe flow. | * [[Utilities]] - pre/post-processing, runtime processing and manipulations, Newton solver for pipe flow. | ||
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* [[File:arnoldi.f|arnoldi.f]] - Krylov-subspace method for calculating eigenvalues of a matrix. | * [[File:arnoldi.f|arnoldi.f]] - Krylov-subspace method for calculating eigenvalues of a matrix. | ||
* [[File:GMRESm.f90|GMRESm.f90]] - Krylov-subspace method for solving the linear system Ax=b for x. | * [[File:GMRESm.f90|GMRESm.f90]] - Krylov-subspace method for solving the linear system Ax=b for x. | ||
* [[ | * [[Newton-Krylov_method]] - Newton-Krylov-Hookstep method for finding nonlinear solutions x of F(x)=0. | ||
Latest revision as of 03:37, 27 November 2019
If something needs updating or you have suggestions, please communicate them (Main_Page#Author) and/or request an openpipeflow login (top right corner). This website uses Mediawiki and is easy to edit.
Overview of the solver
- File:TheOpenpipeflowSolver.pdf - An overview of the code, its context, and how to cite Openpipeflow.
Equations, properties, methods, etc.:
- Equations and parameters - Non-dimensionalisation, Navier-Stokes, Reynolds numbers.
- The PPE formulation - Pressure-Poisson Equation, and the influence matrix technique.
- Table of unit conversions - scale factors between code and 'lab' units.
- Differential operators in cylindrical coordinates - grad, div, curl, Laplacian, etc.
- Symmetries of pipe flow - discrete and continuous symmetries.
- Method of slices - symmetry reduction, elimination of physically irrelevant spatial shifts.
- Newton-Krylov_method - generic code. See Utilities for the pipe implementation.
Using the simulation code:
- Getting started - INSTALLATION, overview of files, setting up a job, starting and ending a job.
- Tutorial - setup a job, basic monitoring and visualisation of outputs.
- Core implementation - Discretisation, Predictor-Corrector, Code Structure, Parallelisation.
- Parallel i/o - a brief note on parallel data access.
- Utilities - pre/post-processing, runtime processing and manipulations, Newton solver for pipe flow.
Non-problem specific codes
- These are designed for integration with any pre-existing code.
- File:Arnoldi.f - Krylov-subspace method for calculating eigenvalues of a matrix.
- File:GMRESm.f90 - Krylov-subspace method for solving the linear system Ax=b for x.
- Newton-Krylov_method - Newton-Krylov-Hookstep method for finding nonlinear solutions x of F(x)=0.