方腔内热对流的高精度数值模拟  

High accuracy scheme for unsteady thermal convection flow

作　　者：孙亮[1] 马东军[1] 孙德军[1] 尹协远[2] 

机构地区：[1]中国科学技术大学力学和机械工程系,安徽合肥230026 [2]中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室,北京100029

出　　处：《水动力学研究与进展（A辑）》2006年第3期363-368,共6页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金(40375018);中国博士后科学基金(2004036160)资助

摘　　要：该文从二维方腔流动的涡流函数方程出发,建立了方腔内热对流的非定常数值计算模型。通过在空间上引入非均匀网格,提高壁面附近的分辨率;以及采用二阶守恒型的Arakawa格式处理非线性的对流项,既保证了多种物理量的守恒性,也同时提高了数值模拟的精度。数值计算表明,本文的计算格式与其它的同阶格式相比,具有更高的精度。The numerical scheme for unsteady thermal convection flow in a square cavity is developed in this paper. The computational grids are stretched near the wall for higher resolution, and the second order Arakawa＇s scheme is employed to solve nonlinear convection term. This scheme not only can fulfill conservation of different properties but also can improve the accuracy of the numerical simulation. Simulations were made for both driven cavity cases and natural convection cases, which agree well with other benchmark solutions.

关 键 词：非定常 热对流 数值模拟 Arakawa格式 守恒性 高精度 

分 类 号：O242.1[理学—计算数学]