Acoustic Vibration of a Fluid in a Three-Dimensional Cavity: Finite Element Method Simulation using CUDA and MATLAB

An implementation of a FEM acoustic model on a GPU using C/C++ and CUDA libraries.

Quick steps

For CUDA, just do make:

  cd CUDA
  make
  ./fem_solver A B C

A: Number of nodes n in grid n x n x n

B: Method type. 0 for Conquer and Divide, 1 for Jacobi.

C: Precision type. 0 for Single, 1 for Double.

For MATLAB, run: fem_acoustic_1.h.

Output

Arbitrary eigenvectors were used to graph the sound pressure distribution for low and high frequencies in the cavity and they are shown bellow:

Notes

CUDA 9.2 is needed(also cuSolver).

NVIDIA Titan X, Tesla P100 and Tesla V100 were tested.