Adaptive solution techniques for fluid-structure interaction and multiphase flow.
Abstract:
Solution techniques for incompressible flow problems or "all-speed" flow problems rely on the efficient solution of large, ill-conditioned, sparse matrix systems. The conditioning of the matrix system is determined in part by the density ratio between two fluids (in two-phase flows) and is also determined by the interfacial topology at any given time. The multigrid preconditioned conjugate gradient method (MGPCG) is an ideal method for solving such problems on a uniform rectangular mesh. In this presentation, we present a robust method for a non-uniform mesh; i.e. for a hierarchy of rectangular grids. Example computations arise from applications in multi-phase flow involving underwater explosions/implosions, boiling, ship waves, atomization, and more!
Applied and Interdisciplinary Mathematics Seminar