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AuthorAnil Kumar Karanam
TitleHierarchical Hexahedral Element for Fluid Dynamic Simulations Using Stabilized Finite Element Methods.
Year2001
SchoolRensselear Polytechnic Institute
AbstractStabilized finite element methods have been shown to yield robust, accurate numerical solutions to both the compressible and incompressible Navier-Stokes equations for laminar and turbulent flows. This work presents the development and application of a mesh entity bases, hierarchical basis functions for hexahedral elements to a new stabilized finite element formulation, which is shown to yield high accuracy and more cost effective simulations when compared with the traditional, linear basis methods. Some examples of steady incompressible flow are provided that demonstrate this point.
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