PERHAPS A GIFT VOUCHER FOR MUM?: MOTHER'S DAY

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

Farah Kanbar

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English
Wurzburg University Press
09 May 2023
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.

By:  
Imprint:   Wurzburg University Press
Dimensions:   Height: 244mm,  Width: 170mm,  Spine: 8mm
Weight:   254g
ISBN:   9783958262102
ISBN 10:   3958262104
Pages:   152
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

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