Scalable High-Order Finite Elements for Compressible Hydrodynamics
The discretization of the Euler equations of gas dynamics (“compressible hydrodynamics”) in a moving material frame is at the heart of many multi-physics simulation codes. The Arbitrary Lagrangian-Eulerian (ALE) framework is frequently applied in these settings in the form of a Lagrange phase, where the hydrodynamics equations are solved on a moving mesh, followed by a three-part “advection phase” involving mesh optimization, field remap and multi-material zone treatment.