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滑移边界条件的收敛性分析及应用

曹文斌 李桦 高洪贺

国防科技大学学报2013,Vol.35Issue(1):12-18,7.
国防科技大学学报2013,Vol.35Issue(1):12-18,7.

滑移边界条件的收敛性分析及应用

Convergence analysis and application of the slip boundary conditions

曹文斌 1李桦 1高洪贺1

作者信息

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摘要

Abstract

By replacing the typical no-slip boundary conditions with velocity slip and temperature jump boundary conditions, the predicting accuracy of the CFD modeling is improved effectively for high altitudes flow in the slip regime. The numerical iterations usually suffer form divergence when the Maxwell slip boundary conditions are implemented with very great number of grid points by the numerical method, which the velocity slip and temperature jump are evaluated through explicit calculation of the velocity and temperature gradient terms. In the theoretical analysis, it is shown that the explicit calculation of gradient terms displays the time advancement process of the Maxwell slip boundary conditions similar to a Jacobian iteration scheme, hence it must satisfy the condition of convergence. In order to remove the limitation from the condition of convergence, a numerical treatment which is convergent for arbitrary grid density was derived for the slip boundary conditions. Numerical tests were calculated to demonstrate the validity of the derived method. A space shuttle model was studied numerically for hypersonic flow at high altitudes. The results disagreement between the slip and no-slip conditions was compared and the influence of slip effects on vehicle aerodynamic characteristics and aerothermodynamic properties was analyzed.

关键词

滑移边界条件/收敛性/高超声速/计算流体力学

Key words

slip boundary conditions/ convergence/ hypersonic/ computational fluid dynamics

分类

航空航天

引用本文复制引用

曹文斌,李桦,高洪贺..滑移边界条件的收敛性分析及应用[J].国防科技大学学报,2013,35(1):12-18,7.

基金项目

国家自然科学基金资助项目(91016010) (91016010)

国防科技大学学报

OA北大核心CSCDCSTPCD

1001-2486

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