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  • RPI SCOREC - Technical Reports
    variable is used to describe the evolution of the material s resistance to plastic flow The resulting system of equations has two sources of well known instabilities one due to the incompressibility constraint and one due to the convection type state variable equation Both of these instabilities are handled by adding mesh dependent stabilization terms which are functions of the Euler Lagrange equations to the usual Galerkin method Linearization of

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=352 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    method has been applied to this strong form to derive alternate velocity pressure finite element contact formulations The Lagrange multiplier method is used and enforces two of the four contact continuity conditions while the other two conditions are introduced directly into the weighted residual statement The alternate formulations differ in the choice of continuity conditions to enforce with Lagrange multipliers In one they enforce the normal solid traction and relative fluid flow continuity conditions on the contact surface and in the other the multipliers enforce normal solid traction and pressure continuity conditions The contact nonlinearity is treated with an iterative algorithm where the assumed area is either extended or reduced based on the validity of the solution relative to contact conditions such as impenetrability and intensility The resulting first order system of equations is solved in time using the generalized finite difference scheme In an independent study various combinations of the Krylov iterative solvers have been tested with alternate equation re ordering schemes and levels of preconditioning An extensive study has been performed using the 3D linear biphasic equations without contact the results of which have provided guidance for efficiently solving the symmetric indefinite system found in the present v

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=366 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Computational Field Simulations Abstract This paper deals with some precific issues of parallel mesh representations that arise in providing general tools for use in managing meshes in parallel computations In recent papers we have presented a new approach for efficiently managing general parallel mesh representations The Algorithm Oriented Mesh Database AOMD of 11 is meant to deal with general mesh representations and the Parallel AOMD PAOMD 10 is a distributed

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=30 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Mesh Adaptation Using Conforming and Non Conforming Mesh Modifications Year 2002 Pages 9 Editor 11th International Meshing Roundtable Abstract In this paper we present a method for performing isotropic and anisotropic adaptive computations The discontinuous Galerkin method that is used for solving transient flow problem is briefly introduced We show then a general scheme to compute high order derivatives of discontinuous fields The Hessian of the density is used for

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=32 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    for the Method of Finite Spheres Year 2002 Journal Computers and Structures Abstract In this paper we report the development of a geometry based automatic preprocessing environment for the method of finite spheres a truly meshfree numerical technique developed for the solution of boundary value problems on geometrically complex domains Open covers satisfying specified conditions are generated in two and three dimensions by recursive spacial subdivision using quadtrees and octrees

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=55 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    subgrid scales In the simulations considered here the subgrid scales are represented by a physical LES model namely the popular dynamic Smagorinsky model or simply dynamic model as well as by a numerical model in the form of the well known streamline upwind Petrov Galerkin SUPG stabilization for finite element discretiza tions of advection diffusion systems The latter is not a physical model as its purpose is to provide sufficient algorithmic dissipation for a stable consistent and convergent numerical method In the first part of this work various finite element based low pass spatial test filters required for computing the dynamic model are proposed and analyzed A number of simulations of decaying isotropic turbulence are performed to understand the dependence of the dynamic model on the test filter of choice From these numerical experiments key assumptions are extracted leading to the derivation of two new dynamic models in which the sole model parameter is computed dynamically The second of these models is parameter free Traditionally the dynamic model parameter has been taken as a constant Both new dynamic models are tested on decaying isotropic turbulence and the parameter free model is also tested on turbulent channel flow In the latter

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=308 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Water Flow Through Granular Soils Year 2002 Pages 6 Editor 15th ASCE Engineering Mechanics Conference Abstract This paper presents a coupled micro mechanical technique to model pore water flow and solid phase deformation of granular soils The fluid motion is idealized using averaged Navier Stokes equations and the discrete element method DEM is employed to model the assemblage of granular particles The fluid particle interactions are provided by established semi

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=310 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Meets Virtual Reality Conference Abstract In this work we focus attention on developing a surgical simulator for performing laparoscopic Heller myotomy using force feedback A meshless numerical technique the method of finite spheres is used for the purpose of physically based real time rendering of soft tissues A localized discretization has been employed to display the deformations in the vicinity of the tool tip as well as the interaction forces

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=311 (2015-07-15)
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