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  • RPI SCOREC - Technical Reports
    Element Methods Year 2001 School Rensselear Polytechnic Institute Abstract Stabilized 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

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=36 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    associated with the construction and application of anisotropic meshes Consideration is a first given to the meshing requirements associated with the transient solution of turbulent flow problems discretized using a stabilized finite element method This study indicates the key importance of controlling the smoothness of mesh gradations on transient problems and demonstrates that in the presence of strongly anisotropic gradients the issue of what constitutes an unacceptably large dihedral angle

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=37 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Volume in press Pages 9 Issue in press Abstract In this paper we present a new point of view for efficiently managing general parallel mesh representations Taking as a starting point the Algorithm Oriented Mesh Database AOMD of 12 we extend the concepts to a parallel mesh representation The important aspects of parallel adaptivity and dynamic load balancing are discussed We finally show how AOMD can be effectively interfaced with

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=38 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    solution limiting adaptivity and a posteriori error estimation regarding error estimation we show that the leading term of the spatial discretization error using the discontinuous Galerkin method with degree p piecewise polynominals is proportional to a linear combination of orthogonal polynominals on each element of degree p and p 1 These are Radau polynominals in one dimension The discretization errors have a stronger superconvergence of order O h exp 2p

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=39 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    A semi implicit equal order FEM solved with a projection method Here an operator splitting technique is used to uncouple velocity from pressure as well as a conventional Laplacian matrix is employed in the pressure solve to introduce a velocity pressure pair stabilization 3 A semi implicit mixed order FEM solved with a projection method Here a velocity pressure pair stabilization is accomplished via selecting test functions for velocity and

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=41 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    SOFTWARE FACILITIES EMAIL SERVICES WIKIS Author G Bluman L P Cook J Flaherty J Kevorkian N Malmuth R O Malley D W Schwendeman M Tulin Title Julian D Cole 1925 1999 Year 2001 Journal Notices of the American Mathematical Society

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=42 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    unstructured mesh for use as preconditioner in multilevel algebraic solution procedures of finite element or finite volume discretizations of partial differential equations The technique uses an octree decomposition of the spacial domain The coarse meshes generated from the octree do not necessarly match the element boundaries of the original unstructured mesh however they are appropriate for preconditioning algebraic systems arising from the finite element partial differential equations discretized on the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=43 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    tetrahedral mesh refinement on the appropriate curved domain boundaries when they are boundary vertices Although many of the vertices created during mesh refinement can be easily snapped to correct boundary locations there are situations where this process creates invalid element shapes This paper presents a procedure to perform mesh modifications to allow all boundary vertices to be placed on the approporial boundaries Key to the success of the procedure is

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=44 (2015-07-15)
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