Thesis (M.A.Sc) -- University of Toronto, 2002.
|Series||Canadian theses = -- Th`eses canadiennes|
|The Physical Object|
|Pagination||2 microfiches : negative.|
A numerical model based upon a second-order upwind finite volume method on unstructured triangular grids is developed for solving shallow water equations. The HLL approximate Riemann solver is used for the computation of inviscid flux functions, which makes it possible to handle discontinuous by: A sequence of structured C-type grids is utilized in which each grid represents a uniform refinement in each direction over the previous level. Two structured-grid codes40, 42 are used, in addition to the unstructured-grid flow solver. For the unstructured flow solver, the cells in the structured mesh are simply divided into by: The Structure of Unstructured Grids and 4, and a hybrid grid generation scheme for gaining accuracy near wells (Flandrin, Borouchaki, and Bennis, ), Figure 5. applicable for unstructured grids, but is unstable for complex porous flow problems (Farmer, ). The. () On the Accuracy of Polynomial Models in Stochastic Computational Electromagnetics Simulations Involving Dielectric Uncertainties. IEEE Antennas and Wireless Propagation Lett () A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems .
Takeshi Fujita, Takashi Nakamura, in Parallel Computational Fluid Dynamics , 4 ACCURACY AND SCALABILITY RESULTS. In this section, several applications are shown. We used several systems for evaluating the performance of the parallel unstructured CFD solver, ALPHA cluster (DEC AlphaPC DP MHz) connected with Myrinet, SGI Origin (MIPS R MHz) of . Notes on accuracy of finite-volume discretization schemes on irregular grids Applied Numerical Mathematics, Vol. 60, No. 3 Comparison of Node-Centered and Cell-Centered Unstructured Finite-Volume Discretizations: Inviscid Fluxes. Jiri Blazek PhD, in Computational Fluid Dynamics: Principles and Applications (Third Edition), Gridless method. Another discretization scheme, which gained recently some interest, is the gridless method [–].This approach employs only clouds of points for the spatial discretization. It does not require that the points are connected to form a grid as in conventional structured or. A further example is a two-dimensional shallow water calculation on a rectilinear grid as well as on an unstructured grid. The conservation of mass, momentum and energy is checked, and losses are.
The majority of operations within an FR time-step can be cast as matrix multiplications of the form (27) C ← c 1 A B + c 2 C, where c 1, 2 ∈ R are scalar constants, A is a constant operator matrix, and B and C are row-major state matrices. Within the taxonomy proposed by Goto et al. the multiplications fall into the block-by-panel (GEBP) category. The specific dimensions of the operator. Notes on accuracy of finite-volume discretization schemes on irregular grids Applied Numerical Mathematics, Vol. 60, No. 3 Comparison of Node-Centered and Cell-Centered Unstructured Finite-Volume Discretizations: Inviscid Fluxes. A new simple fictitious domain method, the algebraic immersed interface and boundary (AIIB) method, is presented for elliptic equations with immersed interface conditions. This method allows jump conditions on immersed interfaces to be discretized with a good accuracy on a compact stencil. Auxiliary unknowns are created at existing grid locations to increase the degrees of freedom of the. This paper provides a class of optimal algorithms for the linear algebraic systems arising from direct finite element discretization of the fourth-order equation with different boundary conditions on any polygonal domains that are partitioned by unstructured grids.