High-Order Modeling of Applied Multi-Physics Phenomena

摘要

Report developed under STTR contract for topic AF08-T023: High-Order Modeling of Applied Multi-Physics Phenomena. This objective of this Phase 1 work was to establish the feasibility of constructing a simulation approach for multi-physics phenomena based on Discontinuous Galerkin (DG) discretizations using high-order accurate approximations (up to 6th order accurate). Techniques were developed, implemented and demonstrated for efficiently and accurately discretizing the full Navier-Stokes equations, for robustly capturing shocks at high order, for extending DG methods to problems with moving meshes, and for incorporating adjoint-based techniques for robust adaptive error control and for design optimization. Furthermore, these techniques were applied to both fluid flow problems, as well as electromagnetic scattering problems, and benchmarked alongside an existing production simulation tool for fluid dynamics problems. The results obtained in this work have demonstrated key capabilities with high-order DG discretizations which are instrumental for extending these methods to complex three-dimensional multiphysics production simulation capabilities with complex geometries.