平板收缩流动的同位和交错网格FVM模拟及比较  

Simulation and Comparison of FVMs Based on Non-staggered and Staggered Grid for Planar Contraction Flows

作　　者：王利业[1] 欧阳洁[1] 赵智峰[1] 刘德峰[1] 

机构地区：[1]西北工业大学理学院数学系,西安710072

出　　处：《工程数学学报》2009年第1期85-93,共9页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10590353);陕西省自然科学基金(2005A16)

摘　　要：本文分别用同位和交错网格有限体积法模拟了4:1平板收缩流动过程,并将两种方法所得结果进行了比较分析,其中同位网格有限体积法采用动量插值方法解决速度与压力的失耦问题。算例表明,同位网格有限体积法和交错网格有限体积法对于4:1平板收缩流动过程的模拟结果吻合。这说明同位网格有限体积法不仅算法简洁、实现方便,结果可靠,而且容易扩展应用于非结构网格及高维问题的模拟。The 4：1 planar contraction flow was simulated with the finite volume methods （FVMs） based on non-staggered and staggered grid, respectively. Detailed comparison and discussion of their numerical results were executed. The results show good agreement. Momentum interpolation method was successfully used to overcome the uncoupled question between velocity and pressure in the FVMs based on the non-staggered grid. So the FVMs based on the non-staggered grid has not only simplicity, but also credibility. At the same time, it can be easily extended to the simulation of unstructured grid or three dimensions.

关 键 词：颗4平板收缩流 同位网格 交错网格 有限体积 动量插值 

分 类 号：O373[理学—流体力学]