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Finite Volume Methods for Incompressible Flow

Applied Math

Speaker: Darryl Whitlow, GGAM/MAE, UC Davis
Location: 693 Kerr
Start time: Fri, May 31 2002, 4:10PM

Two finite volume methods will be derived and applied to the solution of problems of incompressible flow. In particular, external inviscid flows and boundary-layer flows will be examined. The first method analyzed is a cell-centered finite volume scheme. It will shown to be formally first order accurate and used to calculate inviscid flow over an airfoil. The second method is a vertex-centered least-squares method and will be shown to be second order accurate. It's quality will be investigated for several types of inviscid flow problems and to solve Prandtl's boundary-layer equations over a flat plate. Future improvements and extensions of the method will be discusse

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