Search for dissertations about: "hyperbolic conservation law"

Showing result 1 - 5 of 6 swedish dissertations containing the words hyperbolic conservation law.

  2. 1. Reconstruction Techniques and Finite Volume Schemes for Hyperbolic Conservation Laws

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

    Abstract : 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. READ MORE

  4. 2. Conservation Laws, Numerical Schemes and Control Strategies for Sedimentation and Wastewater Treatment

    Author : Sebastian Farås; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Conservation law; Temple class system; numerical scheme; continuous sedimentation;

    Abstract : A consistent theme throughout this thesis is quasilinear partial differential equations (PDEs) appearing in one-dimensional models of sedimentation for solid-liquid separation of suspensions. We mainly focus on continuous sedimentation in so-called clarifier-thickeners (CTs), which are found in mineral processing and wastewater treatment. READ MORE

  5. 3. 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

  6. 4. Two aspects of viscous shocks : existence of a solution and numerical errors

    Author : Malin Siklosi; KTH; []
    Keywords : hyperbolic conservation law; artificial viscosity; asymptotic analysis; existence; computer aided proof;

    Abstract : .... READ MORE

  7. 5. Stable High Order Finite Difference Methods for Wave Propagation and Flow Problems on Deforming Domains

    Author : Samira Nikkar; Jan Nordström; Gunilla Kreiss; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Abstract : We construct stable, accurate and efficient numerical schemes for wave propagation and flow problems posed on spatial geometries that are moving, deforming, erroneously described or non-simply connected. The schemes are on Summation-by-Parts (SBP) form, combined with the Simultaneous Approximation Term (SAT) technique for imposing initial and boundary conditions. READ MORE