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AuthorKenneth E. Jansen, Anil Kumar Karanam, Christian H. Whiting
TitleELEMENT TOPOLOGY CONSIDERATIONS WHEN EMPLOYING A HIERARCHICAL
Year2000
Pages- -
EditorASME 2000 Fluids Engineering Division Summer Meeting
AbstractA stabilized finite element formulation for fluid dynamics using mesh-entity based hierarchical basis functions is presented.The effect of element topology on solution quality and algorithm efficiency are carefully studied. The numerical formulation is presented in the context of the p-version finite element method for the 3 dimensional, incompressible Navier Stokes equations. A simple flow where analytical solution exists is studied and results are presented that verify the theoretical convergence results. The higher order simulations are compared to traditional linear basis finite element methods. Each methods cost in attaining a fixed level of accuracy is assessed and cubic hexahedral elements are seen to be the most efficient.
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