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  • RPI SCOREC - Technical Reports
    is developed to compute rotor blade aerodynamics For this purpose an error indicator is formulated and coded into an adaptive finite element framework It is shown that the error indicator is effective in resolving the global features of the flow field Furthermore for efficiency and problem size considerations once the interpolation errors are reduced to acceptable levels the adaptive refinement is done only in regions affected by the vortical flows

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=57 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    International Journal of Numerical Methods in Engineering Volume 49 Pages 193 218 Issue 1 2 Publisher John Wiley Sons Abstract Viscous flow problems exhibit boundary layers and free shear layers in which the solution gradients normal and tangential to the flow differ by orders of magnitude The Generalized Advancing Layers Method is presented here as a method of generating meshes suitable for capturing such flows The method includes several new

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=58 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    volume meshing algorithms which manifest themselves in the inability to successfully create tetrahedra within small subdomains to be referred to herein as cavities To address this need a robust Delaunay algorithm with an efficient and termination guaranteed face recovery method is the most appropriate approach The algorithm begins with Delaunay vertex insertion followed by a face recovery method that conserves the boundary of the cavity by utilizing local mesh modification

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=59 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    of Tetrahedral Meshes Year 1999 Journal International Journal of Numerical Methods in Engineering Volume 46 Pages 1101 1125 Abstract This paper presents a parallel adaptation procedure coarsening and refinement for tetrahedral meshes in a distributed environment Coarsening relies upon an edge collapsing tool Refinement uses edge based subdivision templates Mesh optimization maintains the quality of the adapted meshes Focus is given to the parallelization of the various components Scalability requires

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=60 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    overcome the limitations of current analysis tools and provided the basis for the development of the next generation of analysis tools The specific driver of the development of this framework is the need for the next generation of analysis tools to effectively support adaptivity in all of its various forms The types of adaptivity of interest include not only adaptivity of the discretization but also of geometric idealizations mathematical model selection and solution techniques Trellis is unique in that it builds off a geometry based problem description The geometry based environment consists of a geometric model a general attribute system to describe the rest of the problem definition a topology based mesh description to house the discretization of the geometry and a field structure to store the solution The analysis framework itself decomposes the solution process in an object oriented manner giving a strong separation between the mathematical description of the problem to be solved the specifics of the numerical method used to solve the problem e g the shape functions mappings integration rules etc and the solution procedures used to solve the resulting linear and nonlinear systems Trellis is currently being used to implement a number of finite element

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=61 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Laws by Discontinuous Galerkin Method Year 1999 Abstract We develop software tools for the solution of conservation laws using parallel adaptive discontinuous Galerkin methods In particular the Rensselaer Partition Model RPM provides parallel mesh structures within an adaptive framework to solve the Euler equations of compressible flow by a discontinuous Galerkin method Loco Results are presented for a Rayleigh Taylor flow instability for computations performed on 64 processors of an

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=62 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    object oriented parallel mesh structures within an adaptive framework called Trellis The Rensselaer Partition Model RPM is central to the framework This hierarchical model is used to distribute finite element meshes and associated data on a parallel computer It represents heterogeneous processor and network speeds and may be used to represent processes in any parallel computing environment including an SMP a distributed memory computer a network of workstations or some

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=63 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Methods in Applied Mechanics and Engineering Volume 190 3 4 Pages 305 320 Abstract A generalized a method is developed and analyzed for linear first order systems The method is then extended to the filtered Navier Stokes equations within the context of a stabilized finite element method The formulation is studied through the application to laminar flow past a circular cylinder and turbulent flow past a long transverse groove The

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=65 (2015-07-15)
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