Sökning: "hyperbolic conservation laws"

Visar resultat 1 - 5 av 13 avhandlingar innehållade orden hyperbolic conservation laws.

  1. 1. Uncertainty Quantification and Numerical Methods for Conservation Laws

    Författare :Per Pettersson; Jan Nordström; Gianluca Iaccarino; Gunilla Kreiss; Rémi Abgrall; Uppsala universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  3. 2. Discrete Kinetic Models and Conservation Laws

    Författare :Mirela Cristina Vinerean; Alexander Bobylev; Giampiero Spiga; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Kinetic theory; discrete kinetic velocity models; conservation laws; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

    Sammanfattning : Classical kinetic theory of gases is based on the Boltzmann equation (BE) which describes the evolution of a system of particles undergoing collisions preserving mass, momentum and energy. Discretization methods have been developed on the idea of replacing the original BE by a finite set of nonlinear hyperbolic PDEs corresponding to the densities linked to a suitable finite set of velocities. LÄS MER

  4. 3. Reconstruction Techniques and Finite Volume Schemes for Hyperbolic Conservation Laws

    Författare :Robert Artebrant; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; numerical analysis; Computer science; high order reconstruction; Conservation law; finite volume method; Datalogi; control; systems; kontroll; numerisk analys; system;

    Sammanfattning : This thesis concerns the numerical approximation of the solutions to hyperbolic conservation laws. In particular the research work focuses on reconstruction techniques; the reconstruction being the key ingredient in modern finite volume schemes aiming to increase spatial order of accuracy. LÄS MER

  5. 4. Some results on Fourier methods for hyperbolic conservation laws

    Författare :Per Fagrell; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  7. 5. Adaptive Finite Element Methods for Compressible Two-Phase Flow

    Författare :Erik Burman; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; adaptive finite element methods; two-phase flow; compressible flow; conservation laws; hyperbolic systems; a posteriori error estimates; streamline diffusion; stability analysis; quantitative error control; adaptive algorithms; quantitative error control;

    Sammanfattning : In this thesis we develop, apply and analyse adaptive finite element methods with error control for compressible flow problems, focusing in particular on two-phase flow. The adaptive algorithms, aiming at quantitative error control with efficient use of computational resources, are based on a posteriori error estimates, where the error is estimated in terms of the computed solution, the local mesh-size and certain stability factors. LÄS MER