A distributed Lagrange multipliers based fictious domain method for the numerical simulation of particulate flow and its parallel implementation

Abstract

The chapter presents a parallel implementation of a distributed Lagrange multiplier based fictitious domain method for the direct simulation of particulate flow with thousands of particles. The chapter also compares it with a variant, using fast solvers, such as FISHPAK. For both test cases, the codes that run in sequential mode are slightly slower than the ones with Fishpak. Considering the amount of speed-up after parallelization, this difference in computing time is insignificant. The numerical simulation of particulate flow—such as mixtures of incompressible viscous fluids and thousands of rigid particles—is computationally expensive, and parallelism often appears as the only way toward large scale of simulations. The method advocated in the chapter offers an alternative to the ALE methods, and it can be easily parallelized via OpenMP because of the use of uniform structured grids. Numerical results of particulate flow obtained on a SUN SMP cluster are also presented in the chapter.