Search for dissertations about: "finite volume methods"

Showing result 1 - 5 of 92 swedish dissertations containing the words finite volume methods.

  2. 1. Stable High-Order Finite Difference Methods for Aerodynamics

    Author : Magnus Svärd; Jan Nordström; Thomas Hagstrom; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite difference methods; high-order accuracy; summation-by-parts; stability; energy estimates; finite volume methods; Numerical analysis; Numerisk analys; Scientific Computing; Beräkningsvetenskap; Numerical Analysis;

    Abstract : In this thesis, the numerical solution of time-dependent partial differential equations (PDE) is studied. In particular high-order finite difference methods on Summation-by-parts (SBP) form are analysed and applied to model problems as well as the PDEs governing aerodynamics. READ MORE

  4. 2. Hybrid Methods for Unsteady Fluid Flow Problems in Complex Geometries

    Author : Jing Gong; Jan Nordström; Gunilla Efraimsson; Mark H. Carpenter; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; hybrid methods; finite difference methods; finite volume methods; coupling procedure; stability; efficiency; artificial dissipation; Numerical analysis; Numerisk analys; Scientific Computing; Beräkningsvetenskap; Beräkningsvetenskap med inriktning mot numerisk analys;

    Abstract : In this thesis, stable and efficient hybrid methods which combine high order finite difference methods and unstructured finite volume methods for time-dependent initial boundary value problems have been developed. The hybrid methods make it possible to combine the efficiency of the finite difference method and the flexibility of the finite volume method. READ MORE

  5. 3. Uncertainty Quantification and Numerical Methods for Conservation Laws

    Author : Per Pettersson; Jan Nordström; Gianluca Iaccarino; Gunilla Kreiss; Rémi Abgrall; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; uncertainty quantification; polynomial chaos; stochastic Galerkin methods; conservation laws; hyperbolic problems; finite difference methods; finite volume methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : Conservation laws with uncertain initial and boundary conditions are approximated using a generalized polynomial chaos expansion approach where the solution is represented as a generalized Fourier series of stochastic basis functions, e.g. orthogonal polynomials or wavelets. READ MORE

  6. 4. Finite Volume Methods on Quadrilateral and Moving Meshes

    Author : Fredrik Svensson; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; numerisk analys; system; kontroll; systems; control; numerical analysis; finite volume method; Datalogi; Computer science; moving mesh method; higher order reconstruction; hyperbolic conservation law;

    Abstract : The topic of this thesis is the study of finite volume methods for hyperbolic conservation laws on non-uniform meshes. A high-order hyperbolic reconstruction method is presented. The method is constructed for quadrilateral meshes, since more realistic hyperbolic problems involve more complicated problem domains than the standard rectangular ones. READ MORE

  7. 5. Hybrid Time-Domain Methods and Wire Models for Computational Electromagnetics

    Author : Gunnar Ledfelt; KTH; []
    Keywords : FD-TD; Finite element; Finite volume; Hybrid methods; Thin wire subcell models; Visualization; Parallelization;

    Abstract : .... READ MORE