Sökning: "compact high order difference methods"

Visar resultat 1 - 5 av 10 avhandlingar innehållade orden compact high order difference methods.

  1. 1. High order summation-by-parts methods in time and space

    Författare :Tomas Lundquist; Jan Nordström; Peter Eliasson; David A. Kopriva; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; summation-by-parts; time integration; stiff problems; weak initial conditions; high order methods; simultaneous-approximation-term; finite difference; discontinuous Galerkin; spectral methods; conservation; energy stability; complex geometries; non-conforming grid interfaces; interpolation;

    Sammanfattning : This thesis develops the methodology for solving initial boundary value problems with the use of summation-by-parts discretizations. The combination of high orders of accuracy and a systematic approach to construct provably stable boundary and interface procedures makes this methodology especially suitable for scientific computations with high demands on efficiency and robustness. LÄS MER

  3. 2. High Order Finite Difference Methods in Space and Time

    Författare :Wendy Kress; Bertil Gustafsson; Gerald Warnecke; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite difference methods; Navier-Stokes equations; high order time discretization; deferred correction; stability; Numerical Analysis; Numerisk analys;

    Sammanfattning : In this thesis, high order accurate discretization schemes for partial differential equations are investigated. In the first paper, the linearized two-dimensional Navier-Stokes equations are considered. LÄS MER

  4. 3. A high order method for simulation of fluid flow in complex geometries

    Författare :Erik Stålberg; KTH; []
    Nyckelord :Technology; Navier-Stokes equations; compact high order difference methods; approximate factorization; curivilinear staggered grids; TEKNIKVETENSKAP; TECHNOLOGY; TEKNIKVETENSKAP;

    Sammanfattning : A numerical high order difference method is developed for solution of the incompressible Navier-Stokes equations. The solution is determined on a staggered curvilinear grid in two dimensions and by a Fourier expansion in the third dimension. LÄS MER

  5. 4. Higher order finite difference methods for wave propagation problems

    Författare :Eva Mossberg; Bertil Gustafsson; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

    Sammanfattning : Wave propagation is described by the wave equation, or in the time-periodic case, by the Helmholtz equation. For problems with small wavelengths, high order discretizations must be used to resolve the solution. Two different techniques for finding compact finite difference schemes of high order are studied and compared. LÄS MER

  7. 5. Higher order methods suitable for direct numerical simulation of flows in complex geometries

    Författare :Arnim Brüger; KTH; []
    Nyckelord :Navier-Stokes equations; Curvilinear staggered grids; Compact high order difference schemes; Approximate factorization;

    Sammanfattning : .... LÄS MER