HYPERCOMP INC — Department of Defense SBIR Phase I: Building on HyPerComp"s strengths in developing high order physics-based solvers in m

Description

Building on HyPerComp"s strengths in developing high order physics-based solvers in multidisciplinary technologies in electromagnetics and fluid dynamics, we have now embarked on a new high order framework (being named High Definition-Physics (HDPhysics)) for solving time-domain Maxwell"s equations based on the nodal discontinuous Galerkin (DG) formulation. This new framework has many new features that make it more attractive for achieving the levels of computational efficiency required to solve electrically large-scale problems of interest to MDA and DoD. Under this proposed effort for MDA, HyPerComp proposes to make significant strides in advancing the state of the art in physics-based computational electromagnetics (CEM) methodologies in the following areas: 1) high-order accurate discontinuous Galerkin (DG)-based algorithms with error control depending on basis order and grid resolution, 2) uncertainty quantification based on a chaos polynomial expansion procedure, 3) a reduced order-basis method (RBM) in time-domain for greatly minimizing the computational burden of generating large data domes, and 4) exploiting the advances in GPU computing for dramatic speed-ups in computation over conventional central processing unit (CPU) type computing.