摘要
发展了一种原始变量时间推进数值方法,对求解域采用非等距交错网格剖分,对方程组各项的离散,是利用泰勒级数于网格点展开取二阶精度进行,对压力及压力修正的求解,则是采用SIMPLE方法进行。将该数值方法应用于封闭方腔层流自然对流换热的计算,对不同瑞利数(Ra)条件下的数值试验显示,该数值方法物理概念清晰,计算稳定,计算结果精度高。
A numerical method with time-dependent primitive variables (unsteady Navier-Stokes equations) is developed and presented in this paper. The field to be solved is divided into non-equidistanee and staggered grid analysis. The terms of the equations ( u,v,θ) are diseretized in some grid with Taylor's series with the second-order accuracy. The SIMPLE method is used for solving the pressure and the pressure revision. The method has been used for solving the laminar natural convection flow and heat transfer in an enclosed. The simulations for various Rayleigh (Ra) numbers shows that the numerical method is stable for calculations, clear in the physics conceptions, and high accuracy in the calculating results.
出处
《水动力学研究与进展(A辑)》
CSCD
北大核心
2005年第6期785-792,共8页
Chinese Journal of Hydrodynamics
基金
高等学校博士学科点专项科研基金资助课题(20020487018)
关键词
原始变量方程
腔内自然对流换热
非等距交错网格
时间推进法
unsteady Navier-Stokes equations
naturalnon-equidistance and staggered grid analysis
time-dependentconvection and heat transfer in an enclosure
numerical method