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采用非结构化网格有限容积法求解了不可压N-S方程组,对流项采用GAMMA格式,扩散项采用二阶中心差分格式建立离散方程,用SOAR算法处理压力与速度的耦合关系,得到了一种求解不可压N-S方程的非结构网格耦合求解器。通过方腔顶盖驱动流、后台阶绕流以及方腔自然对流等几个典型的算例,考察了求解器的计算精度及收敛特性,并与SIMPLE算法进行了比较,结果表明该求解器是有效可行的。

The finite volume method based on the unstructured collocated meshes is applied to solve incompressible N-S equations.The convective flux is evaluated using the GAMMA scheme with deferred correction.The diffusive flux is computed using central difference scheme.The SOAR algorithm is adopted to deal with the coupling relationship of pressure and velocity.A coupled incompressible flow solver on unstructured grids is thus derived.As test cases,the lid-drive flow, backward-facing step flow and natural convection in a closed square cavity were carried out to exam the accuracy and convergence of the new solver,and the iteration parameters were compared with those from SIMPLE algorithm,and the result shows that the present solver is affective and feasible.

参考文献

[1] Morii T .A new efficient algorithm for solving an incompressible flow on relatively fine mesh[J].Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology,2005(6):593-610.
[2] H. Jasak;H. G. Weller;A. D. Gosman .High resolution NVD differencing scheme for arbitrarily unstructured meshes[J].International Journal for Numerical Methods in Fluids,1999(2):431-449.
[3] de Vasconcellos JFV;Maliska CR .A finite-volume method based on Voronoi discretization for fluid flow problems[J].Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology,2004(4):319-342.
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