Parallel multigrid for electrokinetic simulation in particle-fluid flows

We present an algorithm for multi-physics simulation of charged particles in electrokinetic flows. It includes a coupled simulation of charged rigid particles in fluid flows in an electric field. The parallel simulation algorithm is implemented in the WALBERLA software framework. For solving the partial differential equation that models the electric potential, a cell-centered multigrid algorithm has been incorporated into the framework. After an introduction to the central concepts of WALBERLA, we describe the simulation setup and the simulation algorithm. Finally, we show the parallel scaling behavior of the algorithm on a high performance computer, with emphasis on the multigrid implementation.