论文:2016,Vol:34,Issue(1):11-17
引用本文:
贡伊明, 张伟伟, 刘溢浪. 非定常求解的内迭代初值对计算效率的影响研究[J]. 西北工业大学学报
Gong Yiming, Zhang Weiwei, Liu Yilang. Researching how Initial Value of Internal Iteration Impacts on Computational Efficiency in Unsteady Flow Solving[J]. Northwestern polytechnical university

非定常求解的内迭代初值对计算效率的影响研究
贡伊明, 张伟伟, 刘溢浪
西北工业大学 航空学院, 陕西 西安 710072
摘要:
基于非定常流场的双时间求解方法,提出了一种提高非定常流场求解效率的有效策略。通过对前几个时刻的流场信息进行外插来确定下一时刻的迭代初值,使之更接近于收敛解,降低内迭代初始残值,进而提高了非定常流场的求解效率。将流场中每个点的守恒量在时间方向上进行泰勒级数展开,设计了若干种外插格式。采用绕圆柱非定常流动的求解来验证本方法的计算效果,并研究了不同初值外插格式、空间离散格式、时间步长和收敛标准对初值外插方法效果的影响。研究表明,在双时间步法基础上,采用初值外插策略可普遍提高计算效率,其中交替外插策略可以普遍将求解效率提高1倍左右。相比于迎风格式,该方法对中心格式的求解效率提高更显著,并且对于不同的收敛标准和时间步数均有非常明显的效果。
关键词:    初值外插    非定常流场求解    泰勒级数展开    双时间步法   
Researching how Initial Value of Internal Iteration Impacts on Computational Efficiency in Unsteady Flow Solving
Gong Yiming, Zhang Weiwei, Liu Yilang
College of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
On the basis of the dual time stepping method in unsteady flow, we come up with a strategy to improve the efficiency in unsteady flow solving. By means of extrapolating the flow message of a few moments forward, we get the iterative initial value of the next moment to make it closer to the convergent solution and decrease the initial residual value of internal iteration, thus increasing the computational efficiency of unsteady flow. Taylor expand the convective term of flow field in time direction, then we design some kinds of extrapolation schemes. We use the solution of unsteady flow around circular cylinder to verify the computational efficiency of this method, and research on different initial value extrapolation schemes, spatial discretization schemes, and time steps and convergence criteria impacting on the efficiency of initial value extrapolation method. Researches show that based on the dual time stepping method, using the strategy of initial value extrapolation can improve the computational efficiency generally. Of which the alternate extrapolation strategy can doubled the efficiency generally. Compared with upwind scheme, the efficiency of this method increases more when using center scheme; all have obvious effects when using different time steps and convergence criteria.
Key words:    computational efficiency    design    dual time stepping method    errors    extrapolation    flow fields    iterative methods    laminar flow    Mach number    mesh generation    Reynolds number    initial value extrapolation    unsteady flow solving    Taylor series   
收稿日期: 2015-09-18     修回日期:
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作者简介: 贡伊明(1993-),西北工业大学硕士研究生,主要从事计算流体力学研究。
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