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论文:2012,Vol:30,Issue(3):412-416 |
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引用本文： |
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张强, 杨永. 迎风格式的低速预处理及远场边界影响研究[J]. 西北工业大学 |
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Zhang Qiang, Yang Yong. A Better Preconditioning Method of Low Mach Number Flow with Effects of Far-Field Boundary Conditions Considered[J]. Northwestern polytechnical university |
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| 迎风格式的低速预处理及远场边界影响研究 |
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| 张强, 杨永 |
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| 西北工业大学 翼型、叶栅空气动力学国防科技重点实验室,陕西 西安 710072 |
| 摘要: |
| 为处理低马赫数下的流动问题,在原来可压缩流动求解器的基础上,引入Weiss-Smith预处理,根据Roe通量差分分裂(FDS)思想,修改了Roe FDS中的耗散项,并基于预处理后的方程组系数矩阵的特征系统,重新构造了主对角占优的近似因子隐式时间推进(AFADI),然后考察了不同远场边界对低速流动的收敛性和计算精度的影响。计算结果表明:采用预处理后,合理的设置远场边界,可以进一步改善迎风预处理格式的收敛性和准确性;采用CVBC远场边界时的收敛性均好于SFBC边界;至于计算精度,如果远场离物面较近,采用CVBC边界准确性要高于SFBC;如果远场离物面足够远,采用SFBC作为远场边界也是可以的,与CVBC边界差别很小。 |
| 关键词:
时间相关法
预处理
迎风Roe格式
近似因子
全速域流动
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| A Better Preconditioning Method of Low Mach Number Flow with Effects of Far-Field Boundary Conditions Considered |
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| Zhang Qiang, Yang Yong |
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| National Key Laboratory of Science and Techniques on Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| At low Mach number,the Roe scheme presents unsuitable artificial viscosity. A new preconditioned-Roescheme using Weiss-Smith preconditioning was proposed, and then the new special discretization was combined withan approximate-factor (AF) time marching method based on the new preconditioned Jacobians. Sections 1 through4 of full paper explain the preconditioning method mentioned in the title,which we believe is better than previousones for our purpose and whose core consists of: "This paper explained in some detail how to apply Weiss-Smithpreconditioning to Roe FDS and develop implicit AF method. Following the method presented in this paper,weconducted three validating cases with different far-field boundary conditions: (1) the inviscid flow of NACA0012airfoil; (2) laminar flow of flat plate; (3) turbulent flow of NACA4412 airfoil. "Simulation results,presented inFigs. 1 through 7,and their analysis indicated preliminarily that preconditioning improved the efficiency and accu-racy of the solutions,and suitable far-field boundary condition can also improve the convergence rate and numericalaccuracy. |
| Key words:
aerodynamics
airfoils
algorithms
computational fluid dynamics
convergence of numerical methods
drag
efficiency
finite volume method
laminar flow
Navier Stokes equations
turbulence;low speedflow
preconditioned-Roe scheme
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| 收稿日期: 2011-06-12
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(11002117)资助 |
| 通讯作者:
Email： |
| 作者简介: 张强(1977-),西北工业大学讲师、博士,主要从事计算流体力学研究。
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| 张强 在本刊中的所有文章 |
| 杨永 在本刊中的所有文章 |
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参考文献: |
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