The Enabling Technologies for High-Order Simulations (ETHOS) project performs research of fundamental mathematical technologies for next-generation high-order simulations algorithms. The current focus is on advancing the theoretical understanding and practical utility of unstructured meshes with arbitrarily high-order curvilinear elements by researching key challenges associated with high-order mesh quality optimization and simulation-driven adaptivity. The ETHOS team perform basic research that is broadly applicable to many high-order simulation approaches, including high-order finite elements and tightly coupled ALE simulations of interest to the DOE. Our research builds on the high-order harmonic and inverse-harmonic mesh relaxation algorithms and the Target-Matrix Optimization Paradigm (TMOP) to develop new node-movement strategies for high-order mesh quality optimization and adaptation in both purely geometric settings, as well as in the context of a given physical simulation.
ETHOS: Enabling Technologies for High-Order Simulations