Second-Order Invariant Domain Preserving ALE Approximation of Euler Equations
Jean-Luc Guermond , Bojan Popov , Laura Saavedra
Communications on Applied Mathematics and Computation ›› 2021, Vol. 5 ›› Issue (2) : 923 -945.
Second-Order Invariant Domain Preserving ALE Approximation of Euler Equations
An invariant domain preserving arbitrary Lagrangian-Eulerian method for solving non-linear hyperbolic systems is developed. The numerical scheme is explicit in time and the approximation in space is done with continuous finite elements. The method is made invariant domain preserving for the Euler equations using convex limiting and is tested on various benchmarks.
Ministerio de Ciencia, Innovación y Universidades(PGC2018-097565-B-I00)
Lawrence Livermore National Laboratory(Computational R&D in Support of Stockpile Stewardship)
National Science Foundation(DMS-1619892)
Air Force Office of Scientific Research(FA99550-12-0358)
Army Research Office(W911NF-15-1-0517)
Universidad Politécnica de Madrid
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