Title: Parallel-in-Time Solution of Systems of Linear and Nonlinear Hyperbolic PDEs

Abstract: The multigrid reduction in time (MGRIT) method is a parallel multigrid-in-time solver designed to be as non-intrusive as possible and take advantage of existing simulation codes and techniques. This has worked well for parabolic equations, but parallel-in-time methods for advection-dominated hyperbolic problems have proven difficult to develop. In previous work, we demonstrated the effectiveness of a modified semi-Lagrangian coarse-grid operator for speeding up the parallel solution of high-order discretizations of variable-wave-speed linear advection problems in both 1D and 2D. We have also recently extended this technique for solving nonlinear hyperbolic conservation laws, including the inviscid Burgers and Buckley-Leverett equations. In this talk, we will present further developments for solving linear and nonlinear systems of hyperbolic PDEs such as the acoustic equations, shallow water equations, and Euler equations.

Joint work with: Hans De Sterck, Oliver A. Krzysik, and Jacob B. Schroder

The talk will take place Thursday Sep. 5, 3:30pm in room 213 MLH (MacLean Hall).