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基于非结构化同位网格的SIMPLE算法
Implement of SIMPLE algorithm based on unstructured colocated meshes

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文摘 通过基于非结构化网络的有限体积法对二维稳态Navier-Stokes方程进行了数值求解。其中对流项采用延迟修正的二阶格式进行离散;扩散项的离散采用二阶中心差分格式;对于压力-速度耦合利用SIMPLE算法进行处理;计算节点的布置采用同位网格技术,界面流速通过动量插值确定。本文对方腔驱动流、倾斜腔驱动流和圆柱外部绕流问题进行了计算,讨论了非结构化同位网格有限体积法在实现SIMPLE算法时,迭代次数与欠松弛系数的关系、不同网格情况的收敛性、同结构化网格的对比以及流场尾迹结构。通过和以往结果比较可知,本文的方法是准确和可信的。
其他语种文摘 An unstructured colocated meshes based on the finite volume method has been applied for numerical simulation of two-dimensional, steady, incompressible Navier-Stokes equations. The convective flux is evaluated using the second-order scheme with deferred correction. The diffusive flux is solved using central difference scheme. SIMPLE algorithm is adopted to deal with the pressure-velocity coupling. A colocated arrangement of variables is introduced on numerical grids, and the cell face velocities are calculated by the momentum interpolation. As test cases, a lid-driven flow> a skewed lid-driven flow and a laminar flow around a circular cylinder in a channel have been carried out to examine the accuracy of the implement of SIMPLE algorithm based on unstructured colocated grids. Numerical results include the relationship between outer iteration numbers and under-relaxation parameters, the convergence of different computational grids, the comparison with the situation of structure meshes, and the flow status. Comparison with the benchmark results shows that the present method is accurate and trus table.
来源 计算力学学报 ,2003,20(6):702-710 【核心库】
关键词 非结构化网格 ; 同位网格 ; 有限体积法 ; SIMPLE算法
地址

中国科学院力学研究所, 北京, 100080

语种 中文
文献类型 研究性论文
ISSN 1007-4708
学科 力学
基金 国家自然科学基金
文献收藏号 CSCD:1201891

参考文献 共 18 共1页

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引证文献 7

1 谢公南 非正交同位网格下压力与速度耦合算法 计算力学学报,2006,23(1):93-96
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2 刘士和 基于两相流理论的低浓度挟沙水流运动数值模拟Ⅱ——数学模型的求解与验证 武汉大学学报. 工学版,2007,40(4):5-8
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