Dissertation/Thesis Abstract

A front-tracking shock-capturing method for two fluids
by Vahab, Mehdi, Ph.D., University of California, Davis, 2014, 63; 3637913
Abstract (Summary)

This dissertation presents a new high-order front tracking method for two-phase hyperbolic systems of conservation laws separated by a contact discontinuity. A review of existing methods for moving and/or irregular boundaries shows the significance of accurate geometry data and flux calculation near the interface to achieve a high order method. A general method for hyperbolic systems of conservation laws is presented along with the implementations of numerical methods for simulations of gas dynamics in 2-D using the Euler equations. Convergence tests show the new method is second order accurate for smooth solutions and first order in presence of shocks. Also the new method is used for simulation of Richtmyer-Meshkov instability, in which results are in agreement with both theoretical and experimental approaches.

Indexing (document details)
Advisor: Miller, Gregory H.
Commitee: Gygi, Francois, Puckett, Elbridge G.
School: University of California, Davis
Department: Applied Science Engineering
School Location: United States -- California
Source: DAI-B 76/02(E), Dissertation Abstracts International
Subjects: Mathematics, Plasma physics
Keywords: Front tracking, High-order methods, Irregular boundaries, Numerical methods, Shock capturing, Two fluids
Publication Number: 3637913
ISBN: 9781321213164
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