Sökning: "hyperbolic conservation law"
Visar resultat 1 - 5 av 6 avhandlingar innehållade orden hyperbolic conservation law.
1. Reconstruction Techniques and Finite Volume Schemes for Hyperbolic Conservation Laws
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
2. Conservation Laws, Numerical Schemes and Control Strategies for Sedimentation and Wastewater Treatment
Sammanfattning : 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. LÄS MER
3. Finite Volume Methods on Quadrilateral and Moving Meshes
Sammanfattning : 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. LÄS MER
4. Two aspects of viscous shocks : existence of a solution and numerical errors
Sammanfattning : .... LÄS MER
5. Stable High Order Finite Difference Methods for Wave Propagation and Flow Problems on Deforming Domains
Sammanfattning : 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. LÄS MER