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  • RPI SCOREC - Technical Reports
    Abstract This document provides an overview of the meshing environment developed at Rensselaer s Scientific Computation Research Center The environment consists of a set of tools that support the automatic creation of simplex meshes directly from non manifold solid models In addition the environment makes use of the three flexible object oriented structures representing the geometric model attribute information associated with the model and the mesh itself It can be

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=143 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    This paper describes a method that combines the superior approximation properties of p version finite element methods with exactly mapped element geometries for highly accurate numerical solution of acoustic radiation problems in three dimensions for complex geometric domains Examples show the ability of this method to yield exponentially convergent finite element solutions with less than 1 error in normalized L2 and H1 semi norms with very coarse meshes The method

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=144 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    134 Abstract Conservation laws are solved by a local Galerkin finite element procedure with adaptive space time mesh refinement and explicit time integration A distributed octree structure representing a spatial decomposition of the domain is used for mesh generation and later may be used to correct for processor load imbalances introduced at adaptive enrichment steps A Courant stability condition is used to select smaller time steps on smaller elements of

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=145 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    of the errors in layers is difficult special methods must be designed to reduce or eliminate polluting errors Successful methods add dissipation to a computational scheme to enlarge layers to the mesh spacing We focus on a method of using special quadrature rules to confine spurious pollution effects such as excess diffusion and non physical oscillations to layers In particular we indicate that Radau and Lobatto quadrature are useful for

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=146 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Stokes simulation RANSS techniques do not give an acceptable description of the flow In these cases a more detailed simulation of the turbulence is required One such detailed simulation technique large eddy simulation LES has matured to the point of application to complex flows Historically these simulations have been carried out with structured grids which suffer from two major difficulties the extension to higher Reynolds numbers leads to an impractical

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=148 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    mixture of incompressible inviscid fluid and an incompressible solid Alternate mixed penalty and velocity pressure finite element formulations have been developed to solve the nonlinear biphasic governing equations including the effects of a strain dependent permeability and a hyperelastic solid phase under finite deformation The resulting first order nonlinear system of equations are discretized in time using an implicit finite difference scheme and solved using the Newton Raphson method As

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=149 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    and a hyperelastic solid Alternate mixed penalty and velocity pressure finite element formulations are used to solve the nonlinear biphasic governing equations including the effects of a strain dependent permeability and a hyperelastic solid phase under finite deformation The resulting first order nonlinear system of equations is discretized in time using an implicit finite difference scheme and solved using the Newton Raphson method Using a discrete divergence operator an equivalence

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=150 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    as a two phase mixture of incompressible inviscid fluid and a hyperelastic transversely isotropic solid Alternate mixed penalty and velocity pressure finite element formulations are used to solve the nonlinear biphasic governing equations including the effects of strain dependent permeability and a hyperelastic solid phase under finite deformation The resulting first order nonlinear system of equations is discretized in time using an implicit finite difference scheme and solved using the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=151 (2015-07-15)
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