原始变量时间推进法计算封闭腔内自然对流换热

A time-dependent primitive variables numerical method for solving the natural convection and heat transfer in an enclosure

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.