Divergence Correction Techniques for Maxwell Solvers Based on a Hyperbolic Model
By Claus-Dieter Munz, Pascal Omnes, R. Schneider, Eric Sonnendrücker, U. Voβ. 2000
354 citations recorded by the source corpus.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/1cbc5640b3ce4eadfb0b40b26cd5ac0fd5d81f54
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In Astronomy and Astrophysics
- Komissarov S S
- Claus-Dieter Munz
- T. Schnitzer
- Chang Liu
- Andreas Dedner
- Friedemann Kemm
- K. Xu
- Matthias Wesenberg
In Atomic and Molecular Physics, and Optics
In Electrical and Electronic Engineering
Citations in the corpus
- Hyperbolic divergence cleaning for the MHD equations (2002, methodology): “In the following we describe different choices for the linear operator D according to the suggestions in [34, 35].”
- A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport (2016, positive): “The perfectly hyperbolic Maxwell equations (PHM) [34] are used in current work to evolve the electromagnetic field in order to preserve the divergence constraints, ∂E ∂t − c(2)∇x ×B + χc(2)∇xφ = − 1 0 j, ∂B ∂t +∇x × E + γ∇xψ = 0, 1 χ ∂φ ∂t +∇x · E = ρ 0 , 0μ0 γ ∂ψ ∂t +∇x ·B = 0, (6)”
- Electrodynamics of black hole magnetospheres (2004, methodology): “Provided the augmented system is hyperbolic, it can be solved numerically using the Godunov method (Munz et al. 2000; Dedner et al. 2002).”