Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations

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

Kanbar, Farah

Paperback

General Mathematics

ISBN10: 3958262104
ISBN13: 9783958262102
Publisher: Lightning Source Inc
Published: May 9 2023
Pages: 152
Weight: 0.56
Height: 0.33 Width: 6.69 Depth: 9.61
Language: English
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.

Also in

General Mathematics

View All