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  • RPI SCOREC - Technical Reports
    on rectangular domains The local finite element procedure utilizes spaces of piecewise continuous polynomials of arbitrary degree and coordinated explicit Runge Kutta temporal integration A solution limiting procedure produces monotonic solutions near discontinuities while maintaining high order accuracy near smooth extrema A modified tiling procedure maintains processor load balance on parallel distributed memory MIMD computers by migrating finite elements between processors in overlapping neighborhoods to produce locally balanced computations Grids

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=215 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    13 2 Pages 53 59 Abstract We present the integrated by parts version of the Time Discontinuous Galerkin Least Squares finite element formulation for the solution of the unsteady compressible Navier Stokes equations in three dimension for problems involving moving boundary and interfaces The deformation of the spatial domain is automatically taken into account writing the weak form of the problem over its space time domain The integration by parts

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=216 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    L H Ziantz Title The Quality of Partitions Produced by an Iterative Load Balancer Year 1995 Pages Editor Abstract We examine the quality of partitions produced by an iterative load balancer in parallel adaptive finite element calculations We present several metrics which we use to evaluate the quality of a mesh partitioning and report statistics generated from our analysis of adaptively refined meshes produced during the solution of computational fluid

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=217 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    al by considering a surface of material discontinuity within the continuum These differential equations and boundary conditions together with inequality constraints to define the contact surface form the strong form of the problem Currently a fully linear form of the biphasic theory is used and frictionless contact is assumed A weighted residual approach is used to develop a form of the equations suitable for numerical approximation A penalty form of the mixture continuity relation following Spilker and Maxian and the momentum equations for each phase are introduced into the weighted residual Lagrange multipliers are defined on the contact surface and reflect the appropriate continuity of solid and fluid normal traction Four equations for the multipliers and two expressing kinematic continuity are added to the weighted residual Standard procedures result in a weak form of the weighted residual which is then approximated by the finite element method Quadratic interpolations are selected for velocity and displacement within an element as well as for the multipliers on the contact surface A linear interpolation for pressure independent from element to element is used Part of the solution procedure is to determine the correct contact surface two tools are required to accomplish this in the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=218 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    direction without over refinement in the other directions is addressed in this paper The procedures generate meshes with multiple elements through the thickness by anisotropically enriching an initial mesh using local mesh modification procedures wherever the mesh does not have a sufficient number of elements through the thickness An algorithm for detecting portions of the mesh with insufficient elements through the thickness is also given The procedure to generate multiple

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=219 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    solves the Euler equations using an implicit time discontinuous Galerkin least squares finite element method Unsteady moving boundaries are computed using a space time deforming element technique This CFD code is coupled with a multi body computational structural dynamics CSD code DYMORE The structural idealization of the helicopter blade is a geometrically exact nonlinear finite element model The CSD code can model general nonlinear elastic multi body systems using the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=220 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Casting Cooperative Arrangement ICCA was established to develop technologies for better understanding and controlling the design and manufacture of structural and airfoil parts by the investment casting process An important component in the technologies for computer simulation of the casting process is the automatic generation of finite element meshes for arbitrarily complex domains This document is an executive summary of RPI s efforts to generate tetrahedral meshes using SCOREC s

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=221 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    ABOUT US RESEARCH RESEARCHERS REPORTS SOFTWARE FACILITIES EMAIL SERVICES WIKIS Author Title THIS REPORT HAS BEEN REPLACED BY SCOREC REPORT 5 1999 Year 1995

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=222 (2015-07-15)
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