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Van Leer格式在全速域范围的推广
引用本文:刘晨,王江峰,伍贻兆.Van Leer格式在全速域范围的推广[J].计算力学学报,2011,28(2):205-209.
作者姓名:刘晨  王江峰  伍贻兆
作者单位:南京航空航天大学航空宇航学院,南京,210016
基金项目:国家自然科学基金(90716013)资助项目.
摘    要:通过对格式耗散项的修正将Van Leer格式推广至全速域流场求解范围.对格式耗散项的分析表明,在低马赫数流动情况下格式耗散项中不应包含声速项,以此为依据对Van Leer迎风分裂格式提出了耗散项的修正方法.结合对控制方程时间导数项的预处理,修正后的格式能够成功地模拟低速流动问题,同时在其他马赫数范围内也不损失格式的收敛...

关 键 词:预处理方法  全速域流动  Van  Leer格式
收稿时间:2009/9/18 0:00:00
修稿时间:2010/12/25 0:00:00

Extending Van Leer scheme for flows at all speeds
LIU Chen,WANG Jiang-feng and Wu Yi-zhao.Extending Van Leer scheme for flows at all speeds[J].Chinese Journal of Computational Mechanics,2011,28(2):205-209.
Authors:LIU Chen  WANG Jiang-feng and Wu Yi-zhao
Institution:School of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China;School of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China;School of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China
Abstract:Van Leer scheme was extended for flows at all speeds by modifying its dissipation term. The analysis about the dissipation term shows that the speed of sound should not be contained in this term. Based on this idea, the modification about the dissipation term has been suggested. With time-derivative preconditioning, the modified scheme can simulate the flows at low Mach numbers, and it can preserve the convergence and accuracy in other range of Mach numbers. Numerical experiments, including low speed flow, subsonic flow, transonic flow and supersonic flow, show that the modified scheme can be applied to the flows at all speeds successfully.
Keywords:preconditioning method  all speeds flow  Van Leer scheme
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