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.