Search for dissertations about: "curvilinear coordinates"

Showing result 1 - 5 of 6 swedish dissertations containing the words curvilinear coordinates.

  2. 1. Handling of curvilinear coordinates in a PDE solver framework

    Author : Malin Ljungberg; Michael Thuné; Kurt Otto; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap; Scientific Computing;

    Abstract : By the use of object-oriented analysis and design combined with variability modeling a highly flexible software model for the metrics handling functionality of a PDE solver framework was obtained. This new model was evaluated in terms of usability, particularly with respect to efficiency and flexibility. READ MORE

  4. 2. A hybrid high order method for simulation of turbulent flow in complex geometries

    Author : Arnim Brüger; KTH; []
    Keywords : Navier-Stokes; high order; spectral methods; curvilinear coordinates; approximate factorization; iterative methods; turbulence;

    Abstract : .... READ MORE

  5. 3. Design of High Performance Computing Software for Genericity and Variability

    Author : Malin Ljungberg; Michael Thuné; Kurt Otto; Hans Petter Langtangen; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; PDE solver; high-performance; coordinate invariant; curvilinear coordinates; symmetry exploiting; generalized Fourier transform; finite difference; expression templates; feature modeling; variability; Beräkningsvetenskap; Scientific Computing;

    Abstract : Computer simulations have emerged as a cost efficient complement to laboratory experiments, as computers have become increasingly powerful. The aim of the present work is to explore the ideas of some state of the art software development practices, and ways in which these can be useful for developing high performance research codes. READ MORE

  6. 4. Stäckel multipliers in Euclidean space

    Author : Claes Waksjö; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In order to apply the method of separation of variables to the natural Hamilton-Jacobi equation  in Euclidean space, one has to find new curvilinear coordinates  in which the transformed equation admits a complete separated solution . For a potential V(q) given in Cartesian coordinates, the main difficulty is to decide if such a transformation x(q) exists and to effectively determine it explicitly. READ MORE

  7. 5. A high order method for simulation of fluid flow in complex geometries

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

    Abstract : 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. READ MORE