Manual: Difference between revisions
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* [[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-Krylov method - see non-problem specific code below. | ||
'''Using the simulation code''': | '''Using the simulation code''': | ||
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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. | ||
* [[File:NewtonHook.f90|NewtonHook.f90]] - Newton- | * [[File:NewtonHook.f90|NewtonHook.f90]] - Newton-Krylov-Hookstep method for finding nonlinear solutions x of F(x)=0. | ||
Revision as of 09:21, 14 December 2016
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 document. How to cite openpipeflow.org...
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 method - see non-problem specific code below.
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.
- 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.
- File:NewtonHook.f90 - Newton-Krylov-Hookstep method for finding nonlinear solutions x of F(x)=0.