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INSE FIEM 2D

Fast integral equation solver for the incompressible Navier-Stokes equations in 2D.

This code accompanies the paper "A Fast Integral Equation Method for the Two-Dimensional Navier-Stokes Equations" by L. af Klinteberg, T. Askham and M. C. Kropinski. An open access postprint of the paper is available here.

Note that this software is not well-documented, and only partially user-friendly. It is mainly supplied as supplementary material for the abovementioned paper.

Also note that the fast direct solver for the modified Stokes equation is not included, due to licensing issues.

Setup & Build

  • Make sure you have the following installed:
    • Julia 0.6 (0.7 or higher will not work)
    • python-matplotlib
    • python-scipy
    • python-sympy
    • python-pip
    • Matlab
    • csh
    • hdf5-tools
  • Run julia julia/setup.jl to install required Julia packages.
  • To init submodules, run git submodule update --init --recursive
  • Run make to build binaries.

Running code

From the julia directory, run julia <filename>, e.g.

  • julia run_unit_tests.jl to run unit test suite.
  • julia tests/test_XXXX.jl to run a specific test.
  • julia examples/XXXXX.jl to run one of the examples.
  • julia output_scripts/XXXXX.jl to generate the plots shown in the paper.