Second-Order Invariant Domain Preserving ALE Approximation of Euler Equations
Abstract
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Dec 23, 2021
- Source ID
- 10.1007/s42967-021-00165-y
Entities
People
- Bojan Popov
- Jean-luc Guermond
- Laura Saavedra
Organizations
- Air Force Office of Scientific Research
- Army Research Office
- Lawrence Livermore National Laboratory
- Ministry of Science, Innovation and Universities
- National Science Foundation
- Technical University of Madrid