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

摘要

The numerical simulation of particulate flow, such as mixtures of incompressible viscous fluids and thousands of rigid particles, is computational expensive and parallelism often appears as the only way towards large scale of simulations even we have a fast Navier-Stokcs solver. The method we advocate here combines distributed Lagrange multipliers based fictitious domain methods, which allows the use of fixed structured finite element grids on a simple shape auxiliary domain containing the actual one for the fluid flow computations, with time, discretizations by operator splitting to decouple the various computational difficulties associated to the simulation. This method offers an alternative to the ALE methods investigated in [1]-[6] and can be easily parallelized via OpenMP due to the use of uniform structured grids and no need to generate mesh at each time step right after finding the new position of the rigid particles. Numerical results of particulate flow obtained on a SUN SMP cluster are presented.