计算物理 ›› 2010, Vol. 27 ›› Issue (3): 342-352.

• 研究论文 • 上一篇    下一篇

一种基于多矩的有限体积浸入边界法

朱祥德, 陈春刚, 肖锋   

  1. 中国科学院力学研究所高温气体动力学重点实验室, 北京 100190
  • 收稿日期:2009-02-13 修回日期:2009-08-21 出版日期:2010-05-25 发布日期:2010-05-25
  • 作者简介:朱祥德(1984-),男,山东潍坊,硕士,从事计算流体力学方面的研究.
  • 基金资助:
    国家自然基金(10852001,10902116)资助项目

A Multi-moment Immersed-boundary Finite-volume Scheme

ZHU Xiangde, CHEN Chungang, XIAO Feng   

  1. LHD, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2009-02-13 Revised:2009-08-21 Online:2010-05-25 Published:2010-05-25

摘要: 基于多矩VSIAM3格式及浸入边界法,提出一套在复杂计算区域内求解不可压缩流动的数值格式.不可压N-S方程使用VSIAM3格式进行离散,引入浸入边界法处理复杂、移动边界,使用虚拟网格方法计算动量方程修正项,同时还考虑了对连续方程的修正.使用标准算例对数值模式进行验证.

关键词: 多矩有限体积法, 浸入边界法, 虚拟网格法, 不可压缩流

Abstract: A numerical model for incompressible flows in complex geometries is proposed by using multi-moment VSIAM3 scheme and immersed boundary method.Incompressible N-S equations are discretised by VSIAM3 scheme and complex and moving boundaries are treated with immersed boundary method.Immersed-boundary source terms in momentum equations are effectively represented by an extrapolated velocity field in ghost cells across the interface.Continuity equation is modified to take into account effective fluxes in boundary cells.With multi-moment VSIAM3 scheme uses local high-order reconstruction and collocated grids which are suited well for implementing immersed boundary method with high computational efficiency.The proposed scheme is verified by widely used benchmark test problems.Numerical results are fairly comparable to other existing methods.

Key words: multi-moment finite volume method, immersed boundary method, ghost-cell method, incompressible flows

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