Sökning: "finite volume methods"
Visar resultat 1 - 5 av 80 avhandlingar innehållade orden finite volume methods.
Sammanfattning : 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. LÄS MER
Sammanfattning : 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. LÄS MER
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
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
Sammanfattning : .... LÄS MER