Dissertation/Thesis Abstract

A Compact Fourth-Order Finite Volume Method for Structured Curvilinear Grids
by Fedak, Adam, M.S., University of California, Davis, 2018, 64; 10682563
Abstract (Summary)

A fourth-order accurate finite volume method for curvilinear grids based on Hermitian interpolation and splines is here presented in one and two dimensions. The finite volume method is derived in detail starting in one dimension and then extended to two dimensions using isoparametric mapping. The method is applied to the quasi-one-dimensional Euler equations through a converging-diverging nozzle as well as the heat conduction equation through a body-fitted non-orthogonal grid. Comparisons are made between the methods presented here and similar techniques in the literature. Lastly, possible ways to improve the method’s computational efficiency are discussed.

Indexing (document details)
Advisor: Davis, Roger L.
Commitee: Guy, Robert, Hafez, Mohamed
School: University of California, Davis
Department: Mechanical and Aerospace Engineering
School Location: United States -- California
Source: MAI 57/05M(E), Masters Abstracts International
Subjects: Computational physics, Aerospace engineering
Keywords: Curvilinear, Finite volume, Fourth order, Higher order, Splines, Two-dimensional
Publication Number: 10682563
ISBN: 9780355969108
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