Manual

Using the simulation code

• Getting started - overview of files, setup, starting and ending a job.
• Tutorial - setup a job, basic monitoring and visualisation of outputs.
• Core implementation - discretisation, timestepping and key programming elements.
• Utilities - pre/post-processing, runtime processing and manipulations, non-problem specific codes.

Equations, properties, methods, etc.

• Equations and parameters - Non-dimensionalisation, Navier-Stokes, Reynolds numbers.
• 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-Hookstep (channelflow.org) - a good discussion of modern implementation of the Newton method.