Numerical modeling of elliptic equations on unstructured and hybrid grids

Abstract

 In reality, most of the physical processes are described by partial differential equations. At the same time, many application problems require numerical simulations in areas with complex geometry. Description of computational areas with complex geometric shape is best performed on unstructured and hybrid grids. An important advantage of unstructured or hybrid grid is simplicity of generation. For this purpose a large preference was given for methods that can be applied on unstructured and hybrid grids. This method is a finite volume method. One of the advantages of this discretization method is performing of local and global conservation laws, and this is very important in solving many applied problems. In the present work the variety of grids with their advantages and disadvantages are described, also the final volume method and choice of the shape of final volume are considered, discretization of the two and three dimensional Poisson equation by finite volume method is made on the unstructured and hybrid grid, formulas of finding areas, volumes and normal are described and displayed. The aim of this work is the further application of the finite volume method, and obtaining approximation of the Poisson equation in two-dimensional and three-dimensional cases on unstructured and hybrid grid. Finally, numerical results for unstructured and hybrid grids, as well as the data that obtained are compared with the analytical results, which shows good agreement. The numerical values are illustrated in the work in the form of plots.

      G M T   Английский Испанский Итальянский Казахский Китайский Трад Китайский Упр Корейский Русский Турецкий Французский   Английский Испанский Итальянский Казахский Китайский Трад Китайский Упр Корейский Русский Турецкий Французский                 Звуковая функция ограничена 200 символами     Настройки : История : Обратная связь : Donate Закрыть