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  • Author > Leveque, R. J. [x]

  • Sort results by: NASA Center | Date Added to NTRS | Publication Year
    There are a total of 9 record(s) matching your query.
    Sorted by: Date Added To NTRS in Descending order

    Intermediate boundary conditions for LOD, ADI and approximate factorization methods

    Author(s): Leveque, R. J.
    Abstract: A general approach to determining the correct intermediate boundary conditions for dimensional splitting methods is presented. The intermediate solution U is viewed as a second order accurate approximation to a modified ...
    NASA Center: Langley Research Center
    Publication Year: 1985
    Added to NTRS: 2008-02-19
    Accession Number: 85N29626; Document ID: 19850021314; Report Number: ICASE-85-21, NAS 1.26:172591, NASA-CR-172591

    Fourier analysis of the SOR iteration

    Author(s): Leveque, R. J.; Trefethen, L. N.
    Abstract: The SOR iteration for solving linear systems of equations depends upon an overrelaxation factor omega. It is shown that for the standard model problem of Poisson's equation on a rectangle, the optimal omega and corresponding ...
    NASA Center: Langley Research Center
    Publication Year: 1986
    Added to NTRS: 2005-10-13
    Accession Number: 87N14055; Document ID: 19870004622; Report Number: AD-A211571, ICASE-86-63, NAS 1.26:178191, NASA-CR-178191

    Numerical Methods For Chemically Reacting Flows

    Author(s): Leveque, R. J.; Yee, H. C.
    Abstract: Issues related to numerical stability, accuracy, and resolution discussed. Technical memorandum presents issues in numerical solution of hyperbolic conservation laws containing "stiff" (relatively large and rapidly changing) ...
    NASA Center: Ames Research Center
    Publication Year: 1990
    Added to NTRS: 2005-09-30
    Accession Number: 90B10627; Document ID: 19900000627; Report Number: ARC-12282

    Stable boundary conditions for Cartesian grid calculations

    Author(s): Berger, M. J.; Leveque, R. J.
    Abstract: The inviscid Euler equations in complicated geometries are solved using a Cartesian grid. This requires solid wall boundary conditions in the irregular grid cells near the boundary. Since these cells may be orders of ...
    NASA Center: NASA (non Center Specific)
    Publication Year: 1990
    Added to NTRS: 2005-08-25
    Accession Number: 90N23139; Document ID: 19900013823; Report Number: AD-A223152, ICASE-90-37, NAS 1.26:182048, NASA-CR-182048

    A study of numerical methods for hyperbolic conservation laws with stiff source terms

    Author(s): Leveque, R. J.; Yee, H. C.
    Abstract: The proper modeling of nonequilibrium gas dynamics is required in certain regimes of hypersonic flow. For inviscid flow this gives a system of conservation laws coupled with source terms representing the chemistry. Often a ...
    NASA Center: Ames Research Center
    Publication Year: 1988
    Added to NTRS: 2005-08-25
    Accession Number: 88N18343; Document ID: 19880008959; Report Number: A-88110, NAS 1.15:100075, NASA-TM-100075

    A study of numerical methods for hyperbolic conservation laws with stiff source terms

    Author(s): Leveque, R. J.; Yee, H. C.
    Abstract: In the present study of the behavior of typical numerical methods in the case of a model advection equation having a parameter-dependent source term, two approaches to the incorporation of the source terms are used: ...
    NASA Center: Ames Research Center
    Publication Year: 1990
    Added to NTRS: 2004-11-03
    Accession Number: 90A21942; Document ID: 19900034887

    A geometric approach to high resolution TVD schemes

    Author(s): Goodman, J. B.; Leveque, R. J.
    Abstract: A geometric approach, similar to Van Leer's MUSCL schemes, is used to construct a second-order accurate generalization of Godunov's method for solving scalar conservation laws. By making suitable approximations, a scheme is ...
    NASA Center: Langley Research Center
    Publication Year: 1984
    Added to NTRS: 2004-11-03
    Accession Number: 85N15449; Document ID: 19850007140; Report Number: ICASE-84-55, NAS 1.26:172484, NASA-CR-172484

    Stable boundary conditions for Cartesian grid calculations

    Author(s): Berger, M. J.; Leveque, R. J.
    Abstract: The inviscid Euler equations in complicated geometries are solved using a Cartesian grid. This requires solid wall boundary conditions in the irregular grid cells near the boundary. Since these cells may be orders of ...
    NASA Center: NASA (non Center Specific)
    Publication Year: 1990
    Added to NTRS: 2004-11-03
    Accession Number: 91A42717; Document ID: 19910058094

    On the resolvent condition in the Kreiss matrix theorem

    Author(s): Leveque, R. J.; Trefethen, L. N.
    Abstract: The Kreiss Matrix Theorem asserts the uniform equivalence over all N x N matrices of power boundedness and a certain resolvent estimate. It is shown that the ratio of the constants in these two conditions grows linearly with ...
    NASA Center: Langley Research Center
    Publication Year: 1983
    Added to NTRS: 2004-11-03
    Accession Number: 83N34659; Document ID: 19830026388; Report Number: NAS 1.26:172177, NASA-CR-172177, REPT-83-35


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