High-order modeling of applied multi-physics phenomena

In this proposal, we seek to extend the capabilities of an existing suite of high order accurate complex geometry, multiphysics software to enable production level applicability to problems of Air Force interest. The focus of this STTR project will be on efficient methods to handle diffusive phenomena, discontinuities (in material and field properties,) and generalized boundary conditions in the discontinuous Galerkin method. We intend to also improve the speed of high order accurate solvers based on recent advancements in implicit techniques, domain decomposition and multigrid strategies. In Phase-I we intend to incorporate the “recovery discontinuous Galerkin (RDG)” method in HyPerComp’s DG-based solver and demonstrate its extension to complex geometry and systems of nonlinear conservation laws in clearly defined stages. We propose a suite of test problems involving aerothermal effects and boundary layer stability to establish the scope and applicability of the methods investigated. Team members are widely recognized for their contributions to computational modeling for aerospace applications, and have a long record of research pertinent to this project.