Development of a flow analysis code using an unstructured grid with the cell-centered method

被引:9
|
作者
Myong, Hyon Kook [1 ]
Kim, Jongtae
机构
[1] Kookmin Univ, Sch Mech & Automot Engn, Seoul 136702, South Korea
[2] Korea Atom Energy Res Inst, Dept Thermal Hydraul & Safety Res, Taejon 305353, South Korea
关键词
flow analysis code; unstructured grid system; cell-centered method; finite volume method; benchmark solution; performance evaluation;
D O I
10.1007/BF02916339
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A conservative finite-volume numerical method for unstructured grids with the cell-centered method has been developed for computing flow and heat transfer by combining the attractive features of the existing pressure-based procedures with the advances made in unstructured grid techniques. This method uses an integral form of governing equations for arbitrary convex polyhedra. Care is taken in the discretization and solution procedure to avoid formulations that are cell-shape-specific. A collocated variable arrangement formulation is developed, i.e. all dependent variables such as pressure and velocity are stored at cell centers. For both convective and diffusive fluxes the forms superior to both accuracy and stability are particularly adopted and formulated through a systematic study on the existing approximation ones. Gradients required for the evaluation of diffusion fluxes and for second-order-accurate convective operators are computed by using a linear reconstruction based on the divergence theorem. Momentum interpolation is used to prevent the pressure checkerboarding and a segregated solution strategy is adopted to minimize the storage requirements with the pressure-velocity coupling by the SIMPLE algorithm. An algebraic solver using iterative preconditioned conjugate gradient method is used for the solution of linearized equations. The flow analysis code (PowerCFD) developed by the present method is evaluated for its application to several 2-D structured-mesh benchmark problems using a variety of unstructured quadrilateral and triangular meshes. The present flow analysis code by using unstructured grids with the cell-centered method clearly demonstrate the same accuracy and robustness as that for a typical structured mesh.
引用
收藏
页码:2218 / 2229
页数:12
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