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Computational Analysis for Time Dependent Two Dimensional Flow of Incompressible Homogeneous Newtonian Fluid (Spin Up Problem)

Kim, Kwang S.
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Abstract
A digital computer method and a program which employs optimized successive overrelaxation were developed to solve certain problems involving time-dependent two-dimensional flow of an incompressible homogeneous Newtonian fluid. Bubble sort techniques were used in a boundary field and a vectorization of the inner-most Do-loops of the program was carried out using a CRAY-1 computer. A polygon region was selected for analysis purposes. As a test program, "Spin-up problem" for a circular region with rotating solid boundary conditions was analyzed. The results of computations using a fine mesh were in good agreement with analytical results. Finally, a flow contained in an infinite cylinder with part-moving boundarie-s is examined. It is to be applied to an analysis of a flow in a circular cavity.
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1983
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University of Kansas
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