Year: 2023
Author: Matthias Maier, John N. Shadid, Ignacio Tomas
Communications in Computational Physics, Vol. 33 (2023), Iss. 3 : pp. 647–691
Abstract
We discuss structure-preserving numerical discretizations for repulsive and attractive Euler-Poisson equations that find applications in fluid-plasma and self-gravitation modeling. The scheme is fully discrete and structure preserving in the sense that it maintains a discrete energy law, as well as hyperbolic invariant domain properties, such as positivity of the density and a minimum principle of the specific entropy. A detailed discussion of algorithmic details is given, as well as proofs of the claimed properties. We present computational experiments corroborating our analytical findings and demonstrating the computational capabilities of the scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2022-0205
Communications in Computational Physics, Vol. 33 (2023), Iss. 3 : pp. 647–691
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 45
Keywords: Euler-Poisson equations operator splitting invariant domain preservation discrete energy balance.