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.
|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|
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