An implicit monolithic AFC stabilization method for the CG finite element discretization of the fully-ionized ideal multifluid electromagnetic plasma system

Crockatt, Michael; Mabuza, Sibusiso; Shadid, John N.; Conde, Sidafa; Smith, Thomas M.; Pawlowski, Roger P.

doi:10.1016/j.jcp.2022.111228

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2022

2024

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Cited by 4 publications

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“…This is particularly important if we are interested in the full-Euler system and not just barotropic models. Progress in this direction can be found in [8,18,23,44,62].…”

mentioning

confidence: 99%

Local-in-time structure-preserving finite-element schemes for the Euler-Poisson equations

Maier¹,

Shadid²,

Tomaš³

2022

Preprint

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We discuss structure-preserving numerical discretizations for repulsive and attractive Euler-Poisson equations that find applications in fluid-plasma and self-gravitation modeling, respectively. 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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“…This is particularly important if we are interested in the full-Euler system and not just barotropic models. Progress in this direction can be found in [8,18,23,44,62].…”

mentioning

confidence: 99%