计算物理 ›› 2009, Vol. 26 ›› Issue (6): 806-812.

• 论文 • 上一篇    下一篇

基于LU-SGS的非结构弹簧网格迭代算法

吴晴, 钟易成, 余少志, 胡骏   

  1. 南京航空航天大学能源与动力学院, 江苏 南京 210016
  • 收稿日期:2008-06-17 修回日期:2008-12-06 出版日期:2009-11-25 发布日期:2009-11-25
  • 作者简介:吴晴(1981-),男,安徽合肥,博士生,从事进气道设计、计算流体力学方面的研究,南京航空航天大学302信箱210016.
  • 基金资助:
    总装预研基金(51413050204HK0206)资助项目

An Iterative Method For Unstructured Dynamic-grid Using Springs Based on LU-SGS

WU Qing, ZHONG Yicheng, YU Shaozhi, HU Jun   

  1. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2008-06-17 Revised:2008-12-06 Online:2009-11-25 Published:2009-11-25

摘要: 针对运动间断拟合中需频繁更新网格点位置的特点,提出一种基于LU-SGS(lower-upper symmetricGauss-Seidel)迭代方法的非结构弹簧网格运动算法.根据弹簧网格原理构建与网格拓扑关系相对应的稀疏系数矩阵,将LU-SGS思想成功引入动网格迭代算法,并辅以合理的网格运动管理策略,实现动网格的快速迭代.研究表明,在非结构网格下,LU-SGS算法可以满足运动间断拟合的需求,在流场隐式时间推进时,仍能保证获得稳定解;与传统的SOR方法相比,计算时耗减少20%以上.

关键词: 动网格, LU-SGS, 弹簧模型, 间断拟合, 计算流体力学

Abstract: An iterative method for unstructured dynamic-grid using springs based on LU-SGS (lower-upper symmetric Gauss-Seidel) is presented to reduce time of iterative in dynamic discontinuities simulation. Dynamic grid iterative time is as much as time of field itemtive as shock and flex-wall are numerical fitting by time-dependent Euler equations, because dynamic boundary is moving and whole unstructured grids are updated in every step of field iterative. A sparse matrix mapping grid topology based on spring strategy is presented. LU-SGS strategy is used in numerical simulation and dynamic grid is managed in order to solve the time choke point. Numerical results show that LU-SGS iterative method can be used to dynamic discontinuities fitting by implicit scheme. The presented method decreases more than 20% iterative time than classical SOR method.

Key words: dynamic grid, LU-SGS, spring model, dynamic discontinuities fitting, computational fluid dynamic(CFD)

中图分类号: