A multiblock/multilevel mesh refinement procedure for CFD computations

Abstract

SUMMARYA multiblock/multilevel algorithm with local refinement for general two-and three-dimensional fluid flow is presented. The patched-based local refinement procedure is presented in detail and algorithmic implementations are also presented. The multiblock implementation is essentially block-unstructured, i.e. each block having its own local curvilinear co-ordinate system. Refined grid patches can be put anywhere in the computational domain and can extend across block boundaries. To simplify the implementation, while still maintaining sufficient generality, the refinement is restricted to a refinement of the grid successively halving the grid size within a selected patch. The multiblock approach is implemented within the framework of the well-known SIMPLE solution strategy. Computational experiments showing the effect of using the multilevel solution procedure are presented for a sample elliptic problem and a few benchmark problems of computational fluid dynamics (CFD).

Numerical solutions of 2‐D steady incompressible flow in a driven skewed cavity

“…The skewed cavity problem is a perfect test case for body fitted non-orthogonal grids and yet it is as simple as the cavity flow in terms of programming point of view. Later Oosterlee et al [17], Louaked et al [13], Roychowdhury et al [20], Xu and Zhang [31], Wang and Komori [28], Xu and Zhang [32], Tucker and Pan [27], Brakkee et al [3], Pacheco and Peck [18], Teigland and Eliassen [25], Lai and Yan [11] and Shklyar and Arbel [22] have solved the same benchmark problem. In all these studies, the solution of the driven skewed cavity flow is presented for Reynolds numbers of 100 and 1000 for only two different skew angles which are 30 …”

“…In order to do this we compare our results with the results found in the literature. At this point, we would like to note that in the literature among the studies that have solved the skewed cavity flow ( [5], [17], [13], [20], [31], [28], [32], [27], [3], [18], [25], [11] and [22]), only Demirdžiü et al [5], Oosterlee et al [17], Shklyar and Arbel [22] and Louaked et al [13] have presented tabulated results therefore we will mainly compare our results with those studies.…”

A method for analysing nesting techniques for the linearized shallow water equations

“…Major e orts include Spall and Holland [1], Oey et al [2], Fox and Maskell [3; 4], Laugier et al [5; 6], Ginis et al [7], Blayo and Debreu [8], Guillou et al [9] and Rowley and Ginis [10]. Also, experiences from the computational uid dynamics (CFD) literature on connecting computational sub-domains may be relevant to the ocean model community; see for instance Lien et al [11], Hill and Baskharone [12], Chen et al [13] and Teigland and Eliassen [14].…”

Multigrid solution for the cauchy problem associated with helmholtz type equation on non uniform grids

“…In most cases, when sudden changes occur in a flow, the step sizes have to be rectified over the entire domain. Under these situations, where points are concentrated in the regions of sharp variation local mesh refinement procedures [8,15,[21][22][23][24] are necessary, thus dramatically reducing the computational time and computer storage. Cao and Ge developed a multigrid method with HOC scheme on non-uniform grids for solving 2D convection diffusion equation [21].…”