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  • RPI SCOREC - Technical Reports
    Table Look Up for p version Finite Elements on Curved Tetrahedra Year 2005 Journal Comput Methods Appl Mech Engrg Institution Rensselaer Polytechnic Institute Abstract We develop a method of evaluating element level matrices and vectors associated with p version finite element computations on tetra hedral meshes with curved boundaries The procedure uses optimal interpolation formula 7 8 for non polynomial portions of integrands followed by exact integration Exact integrals of

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=395 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    anisotropic mesh adaptation by mesh modification Year 2005 Journal Comp Meth Appl Mech Engng Volume 194 Pages 4915 4950 Editor Science Direct Abstract This paper describes an effective anisotropic mesh adaptation procedure for general 3D geometries using mesh modification operations The procedure consists of four interacted high level components refinement coarsening projecting boundary vertices and shape correction All components are governed by an anisotropic mesh metric field that represents the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=399 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    2005 Journal Conf on Analysis Modeling Computation of PDE Multiphase Flow Pages 1 10 Editor Kluwer Academic Press Abstract In this paper we demonstrate the use of loosely coupled adaptive loops created from already available software components Using interoperable functions

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=401 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Applied Numerical Mathematics Volume 52 Pages 251 271 Editor Elsevier Science Abstract This paper considers the technologies needed to support the creation of adaptively constructed meshes for general curved three dimensional domains and outlines one set of solutions for providing them A brief review of an effective way to integrate mesh generation adaptation with CAD geometries is given A set of procedures that support general h adaptive refinement based on

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=402 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    fluid flow Instead of a more traditional deformable mesh approach we describe a novel fixed mesh approach which use a level set function to implicitly track the fluid solid interface therefore no mesh motion or modification is required The interface boundary conditions are also captured implicitly by combining a Ghost Fluid technique with the level set approach This fixed mesh approach is a much more efficient than moving mesh methods

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=404 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    chains in aqueous solution using classical molecular dynamics simulations The rate of transfer of vibrational energy from the excited fullerene to the surrounding water was found to be slow for the bare fullerene with a vibrational relaxation time of approaching 200 ps Attachment of a single short PEO chain MW 250 yielding C60 PEO was found to decrease the vibrational relaxation time by about a factor 5 while the vibrational

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=410 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    liquids or between a biomolecule and solvent are ubiquitous few studies of thermal transport at such interfaces have been reported Here we characterize the interfacial conductance 1 RK of soft interfaces as a function of molecular architecture chemistry and the strength of cross interfacial intermolecular interactions through detailed molecular dynamics simulations The conductance of various interfaces studied here for example water organic liquid water surfactant surfactant organic liquid is relatively

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=411 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    for improving the wear and abrasion resistance 2 3 For polymer materials surface conductivity and stiffness may be improved by applying coatings or adding fillers to the polymer matrix 1 4 For example polymers can be made scratch resistant by the addition of hard fillers 4 However for the case of polymers achieving excellent mechanical and electrical properties only at the surface is a challenge Conventional hard fillers such as

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=412 (2015-07-15)
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