High-order modeling of applied multi-physics phenomena

This proposal is concerned with the development of a commercial, high order, multi-physics simulation capability based on the Discontinuous Galerkin (DG) method. The proposed capability will build on the extensive research carried out by the key personnel on high-order DG methods which includes efficient and accurate discretization methods for the the viscous terms, shock capturing algorithms and the development efficient pre-conditioners and implicit solvers. The tool develop will also incorporate the latest developments in high order methods made by the scientific community. The proposed system will provide a step change in multi-physics predictive capability relative to current simulation codes. This will be accomplished through higher order approximations, mesh adaptivity and a software engineering design that facilitates coupled multi-physics simulations.