期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 253, 期 -, 页码 146-159出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.09.016
关键词
Convective and diffusive fluxes; Finite volume formulation; Multi-dimensional flow; SIMPLER algorithm; Unstructured grid
资金
- Australia Research Council
This paper describes a finite volume method for simulating transport processes governed by convection-diffusion type equations. The formulation is based on a cell-centred, unstructured grid. With an edge-based data structure, discretisation is independent of control volume (or cell) shape. By using a surface vector decomposition at the midpoint of the interface between cells, along with a deferred-correction approach, any cross-diffusion due to grid skewness can be readily accounted for when discretising the diffusive flux. For modelling fluid flow processes, a collocated arrangement of variables is employed so that a single coefficient matrix applies for the momentum equations of each velocity component. To avoid 'checkerboard oscillation' (arising from pressure-velocity decoupling) occurring under the collocated variable arrangement when a pressure-based solution algorithm is employed, a novel pseudo-flux interpolation method is proposed for unstructured grids, ensuring that the solution is both under-relaxation factor and time-step (for transient calculation) independent. The methodology can be formulated within a framework whereby either a coupled or a decoupled solution algorithm can be employed. The features and advantages of the method are demonstrated by solution of the Navier-Stokes equations for two benchmark flow problems. (C) 2012 Elsevier B.V. All rights reserved.
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