不可压N-S方程的高效并行直接求解  

Efficient parallel direct solution on incompressible N-S equations

作　　者：包芸[1] 叶丰[1] 张义招 

机构地区：[1]中山大学力学系,广州510275

出　　处：《计算机辅助工程》2016年第3期19-23,共5页Computer Aided Engineering

基　　金：国家自然科学基金(11372362);中央高校基本科研业务费专项资金(14lgjc02)

摘　　要：对不可压N-S方程的数值计算,当计算规模增大时,不论是采用湍流模型计算还是直接数值模拟(Direct Numerical Simulation,DNS),大规模的并行计算都难以实现.该问题的关键是求解全场联立的压力泊松方程的并行计算技术.利用并行近似解求解方案,创建高效大规模并行计算的不可压N-S方程的直接求解方法.三维窄方腔热对流的DNS计算结果表明,该直接求解并行计算方法具有很好的并行效率,并且计算的三维湍流热对流的特性是合理的.The large-scale parallel computational techniques for incompressible N-S equations solution is difficult to realize either for the turbulent models or the Direct Numerical Simulation （DNS） when the computational scale increases. It is key to implement the parallel computational technique for the pressure Poisson equation which needs the solutions for the whole flow field. An efficient parallel direct solution scheme for incompressible N-S equations is developed using a large-scale parallel approximate solution. The DNS calculation results of the heat convection in a narrow square cavity show that the parallel direct solution scheme has good parallel efficiency, and the characteristics of 3D turbulent heat convection obtained by the new scheme is reasonable.

关 键 词：泊松方程 并行计算 不可压流动 湍流热对流 直接数值模拟 

分 类 号：O35[理学—流体力学]