摘要
提出谱元方法计算正方形截面封闭空腔内的自然对流问题 ,具体求解了原始变量速度和压力的不可压Navier Stokes方程和温度方程 .所有的求解变量均采用Chebyshev谱逼近 .Navier Stokes方程和温度方程的时间离散采用时间分裂法 ,非线性项用 4阶Runge Kutta法 ,扩散项用Crank Nicolson半隐方法 。
A spectral element method for the computation of nature convection in closed square cavity is presented.The incompressible Navier Stokes equations expressed in terms of the primitive variables velocity and pressure,and an additional equation for the temperature,are considered.All the variables are expanded in Chebyshev polynomials.A time splitting method is used with a fourth order Runge Kutta for the nonlinear terms and a semi implicit Crank Nicolson method for the viscous terms.The obtained results show to be in excellent agreement with the accepted benchmark solutions. [
出处
《计算物理》
CSCD
北大核心
2001年第2期119-124,共6页
Chinese Journal of Computational Physics
基金
国家自然科学基金资助项目 !(5 97760 0 6)
