Second-Order Invariant Domain Preserving ALE Approximation of Euler Equations Academic Article

abstract

• AbstractAn 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.

authors

• Popov, Bojan

published proceedings

• COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION

author list (cited authors)

• Guermond, J., Popov, B., & Saavedra, L.

citation count

• 1

complete list of authors

• Guermond, Jean-Luc||Popov, Bojan||Saavedra, Laura

publication date

• June 2021

publisher

• Springer Nature  Publisher

published in

• n2096-6385ISSN  Journal

keywords

• Arbitrary Lagrangian-eulerian
• Conservation Equations
• Convex Limiting
• Finite Element Method
• High-order Method
• Hyperbolic Systems
• Invariant Domains
• Moving Meshes

Digital Object Identifier (DOI)

• 10.1007/s42967-021-00165-y

start page

• 923

end page

• 945

volume

• 5

issue

• 2

URL

• http://dx.doi.org/10.1007/s42967-021-00165-y