319 High-order Discretizations for Multi-physics Applications

Tan Bui-Thanh, The University of Texas at Austin
Timothy Wildey, Sandia National Lab
Josh Shadid, Sandia National Lab
A current challenge before the applied mathematics and computational science community is the solution of complex multiphysics systems. Science and engineering applications for these systems are described by multi-physics models that are highly-nonlinear and have strongly coupled physical mechanisms that interact on a wide range of length- and time-scales and require robust and efficient high-resolution numerical approximations. For this reason developing robust, and accurate methods that can effectively use parallel computation at extreme scales is critical. In this context numerical discretizations and solvers for practical multi-physics simulations must be: (1) High-order accurate in space and time; (2) Stable; (3) Conservative; (4) Having minimum degrees of freedom for implicit solution approaches; (5) Well suited for unstructured meshes; (6) Well suited for hp-adaptivity; (7) Well suited for applications with disparate temporal and spatial scales; (8) Robust fault-tolerant designs; and (9) Well suited for fine-grain parallelism.

This minisymposium focuses on the latest developments in high(er) order finite difference, finite volume, finite element, and related methods and associated numerical methods. The speakers in this minisymposium will address theoretical/numerical and computational issues that are critical to developing approaches with these desired properties. In addition we seek participation from researchers engaged in exploring these issues in the context of challenging multi-physics applications. Examples will include magnetohydrodynamics, plasma physics, subsurface flows, geophysical flows, etc.