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FBEM

A software to solve the Stokes equation with fast-multipole boundary element method.

  • Generates input files for a third-party hydrodynamic solver (FMM-BEM [1]).
  • Computes velocities from a given surface force distribution. Can solve the inverse and mixed problems (where not all forces are known).
    • Computing forces from velocities is an inverse problem, where a linear system is solved with GMRES.
    • In this code is adapted for the inverse problem.
  • FBEM = fast Boundary Element Method

Installation

  • Download FBEM executables.
  • Place FBEM executables to FBEM/exe/ folder:
    • Windows executable 3D_Stokes_Flow_FMM_64.exe
    • Linux executable 3D_Stokes_Flow_FMM_linux.exe (we requested the file directly from the author, as it had not been available on the website)
  • For Linux: give execution permission.

Usage

See example folder. For simplicity, the fluid viscosity is set to 1. For different visosity, one can rescale input velocities.

[1] https://www.yijunliu.com/ Package C2