An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver
Abstract
We propose an efficient algorithm for the immersed boundary method on distributed-memory architectures, with the computational complexity of a completely explicit method and excellent parallel scaling. The algorithm utilizes the pseudo-compressibility method recently proposed by Guermond and Minev [Comptes Rendus Mathematique, 348:581-585, 2010] that uses a directional splitting strategy to discretize the incompressible Navier-Stokes equations, thereby reducing the linear systems to a series of one-dimensional tridiagonal systems. We perform numerical simulations of several fluid-structure interaction problems in two and three dimensions and study the accuracy and convergence rates of the proposed algorithm. For these problems, we compare the proposed algorithm against other second-order projection-based fluid solvers. Lastly, the strong and weak scaling properties of the proposed algorithm are investigated.
Cite
@article{arxiv.1305.3976,
title = {An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver},
author = {Jeffrey K. Wiens and John M. Stockie},
journal= {arXiv preprint arXiv:1305.3976},
year = {2015}
}