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  • RPI SCOREC - Technical Reports
    1998 Abstract Various two level approaches based on aggregation are analyzed We show the importance of enriching the approximation space on each aggregate and widening the interface regions between the aggregates We prove that in this case the two level

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=100 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    for coordinate functions Condition numbers estimates are given and preconditioning of the problems arising on subdomains and of the Schur complement together with derivation of the global DD preconditioner are all considered We obtain several DD preconditioners for which the generalized condition numbers vary from O log p 3 to O 1 The paper consists of seven sections We give some preliminary results for the 1D case condition number estimates

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=101 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Melt Flows Year 1998 Pages Editor Abstract We use finite element software based on the stabilized Galerkin Least Square method to solve the Navier Stokes equations with the Boussinesq approximation coupled to an energy equation through the temperature We study

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=102 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    implementation of the parallel mesh structures within an adaptive framework The most fundamental concept is that of a hierarchical partition model used to distribute finite element meshes and associated data on a parallel computer The hierarchical model 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 combination of

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=103 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    sizes become this large mesh generation in a uniprocessor environment becomes problematic in terms of time and storage This thesis work is devoted to the development of an underlying octree data structure and algorithmic approaches which can efficiently support mesh generation on distributed memory processors An octree is a hierarchical data structure which is used to recursively subdivide a cubic universe into finer resolution levels Octrees are an effective means to control element sizes which meet apriori mesh size specifications and facilitate the retrieval of existing mesh data in specific neighborhoods around the regions of space being meshed In the distributed memory environment the octree is also used to divide a geometric modeling domain across a set of processors so that the individual partitions can be meshed in parallel The distributed octree augments a basic hierarchical octree structure to include interprocessor links to off processor octants and also includes lateral links between octants of the same level which share common faces in the octree topology These lateral links known as face neighbor links support O 1 neighborhood queries during mesh generation Two basic algorithms are needed to construct a distributed octree with face neighbor links An octant migration procedure supports

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=104 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    and explicit time integration The Courant stability condition is used to select smaller time steps on smaller elements of the mesh thereby greatly increasing efficiency relative to methods having a single global time step Processor load imbalances introduced at adaptive enrichment steps are corrected by using traversals of an octree representing a spatial decomposition of the domain The octree structure facilitates a rapid load balancing procedure by performing tree traversals

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=106 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    High reynolds number flow simulations exhibit strong gradients normal to walls and across shear layers requiring much finer resolution of the solution in some directions compared to others To keep mesh sizes manageable for such problems meshes with highly anisotropic elements are necessary In this paper a method for generating boundary layer meshes for arbitrarily complex non manifold geometric domains is discussed A popular strategy for generation of boundary layers

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=107 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Journal Engineering With Computers Volume 15 Pages 61 72 Abstract An object oriented framework for general numerical simulations has been developed that is designed to enable the rapid development of new analysis techniques The framework is currently being used to

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=108 (2015-07-15)
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