Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations

(Autor)

Buch | Softcover
152 Seiten
2023
Würzburg University Press (Verlag)
978-3-95826-210-2 (ISBN)

Lese- und Medienproben

Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations - Farah Kanbar
29,80 inkl. MwSt
In this thesis, we are interested in numerically preserving stationary solutions of balance laws. We start by developing finite volume well-balanced schemes for the system of Euler equations and the system of Magnetohydrodynamics (MHD) equations with gravitational source term. Since fluid models and kinetic models are related, this leads us to investigate Asymptotic Preserving (AP) schemes for kinetic equations and their ability to preserve stationary solutions.
In an attempt to mimic our result for kinetic equations in the context of fluid models, for the isentropic Euler equations we developed an AP scheme in the limit of the Mach number going to zero. The properties of the schemes we developed and its criteria are validated numerically by various test cases from the literature.

geboren in Kfarremman, Libanon, M.Sc. (Mathematik)

Erscheint lt. Verlag 9.5.2023
Verlagsort Würzburg
Sprache englisch
Maße 170 x 240 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Angewandte Mathematik • Euler-Lagrange-Gleichung • Hyperbolische Differentialgleichung • Kinetische Gleichung • Magnetohydrodynamische Gleichung
ISBN-10 3-95826-210-4 / 3958262104
ISBN-13 978-3-95826-210-2 / 9783958262102
Zustand Neuware
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