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  • RPI SCOREC - Technical Reports
    can adequately describe the macroscale deformation and an overlap interphase sub domain that has a blended description of the two The problem is formulated in terms of equilibrium equations with a blending between the continuum stress and the atomistic force in the interphase Coupling between the continuum and the atomistics is established by imposing constraints between the continuum solution and the atomistic solution over the interphase sub domain in a

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=452 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    With Simulation based design simulation serves as the primary means of design evaluation and verification Simulation advances the ability to design and manufacture superior products in less time and at lower costs a requirement for any company to remain competitive in the future After decades of advances in computing technologies CAD and CAE now provide many of the ingredients needed to support simulation based design However their full realization places

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=453 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Editor Journal of Computational Physics Abstract We describe a procedure for the adaptive h refinement solution of the incompressible MHD equations in stream function form using a stabilized finite element formulation The mesh is adapted based on a posteriori spatial error estimates of the magnetic field using both recovery and order extrapolation techniques The step size for time integration is chosen so that temporal discretization errors are small relative to

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=456 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    strategy is based on the second derivatives of average flow field over a cardiac cycle due to the pulsatile nature of the flow in blood vessels This study presents an algorithm to perform anisotropic mesh adaptation in the simulation of blood flow in the cardiovascular system The governing equations are the transient incompressible Navier Stokes equations We first apply the procedure to analytical cases and then to a real case

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=358 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    solution field To perform mesh adaptation a single mesh metric field is constructed for the whole cardiac cycle Two alternative approaches are applied one in which a metric field is constructed based on the average flow whereas in the other approach the metric field is obtained by intersecting metric fields computed at a number of specified instants during the cycle We further demonstrate that controlling the mesh adaptation procedure in

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=359 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    benefits of variable p version finite elements requires the careful construction of prismatic elements in thin sections This paper presents a procedure to automatically isolate the thin sections using the points on an approximate medial surface computed by an octree based algorithm Using the pairs of triangles associated with medial surface points in conjunction with adjacency classification and distance information sets of surface triangles that are opposite face patches in

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=360 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    these nanofillers on the overall conformation of polymer chains and more importantly on the statistics of bridges dangling ends loops and trains We are motivated to study these issues since it has been suggested that the mechanical behavior of nanocomposites result from the formation of a long lived transient filler network mediated by the chains Further the experimentally observed increase in low frequency low strain amplitude elastic modulus on the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=361 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Abstract We describe procedures to model transient shock interaction problems using discontinuous Galerkin methods to solve the compressible Euler equations The problems are motivated by blast flows surrounding cannons with perforated muzzle brakes The goal is to predict shock strengths and blast over pressure This application illustrates several computational difficulties The software must handle complex geometries The problems feature strong interacting shocks with pressure ratios on the order of 1000

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=362 (2015-07-15)
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