基于预处理HLLEW格式的全速域数值算法  

Preconditioning HLLEW Scheme for Flows at All Mach Numbers

作　　者：刘中玉[1] 张明锋[1] 郑冠男[1] 杨国伟[1] 

机构地区：[1]中国科学院力学研究所流固耦合系统力学重点实验室,北京100190

出　　处：《计算物理》2016年第3期273-282,共10页Chinese Journal of Computational Physics

基　　金：国家高技术研究发展计划(2014AA110501)资助项目

摘　　要：基于HLLEW(Harten-Lax-Van Leer-Einfeldt-Wada)格式引入预处理技术发展适合求解全速域流场的三维Navier-Stokes求解器.引入低速预处理技术,重新构造HLLEW格式的耗散项,给出预处理后的HLLEW格式,并根据预处理后的雅克比矩阵构造相应的隐式时间推进方程.利用预处理方法求解NACA 4412低速不可压流动与RAE 2822跨声速可压缩流动,并与实验结果及原有方法的计算结果对比.结果表明:预处理HLLEW格式不仅提高低速不可压缩流动的计算效率和精度,也保持了对可压缩流动的处理能力,是一种适用于全速域流场数值模拟的有效方法.Based on HLLEW（ Harten-Lax-Van Leer-Einfeldt-Wada） scheme,low speed preconditioning technology is introduced to develop a three-dimensional Navier-Stokes solver for flows at all Mach numbers. Low speed preconditioning techniques is introduced to reconstruct dissipative term in HLLEW scheme and preconditioning HLLEW scheme is proposed. Implicit time-marching method is constructed based on preconditioning Jacobian Matrix. Results of NACA 4412 incompressible flow and RAE 2822 transonic flow with preconditioning HLLEW scheme are compared with results by original method and experimental data. It shows that preconditioning HLLEW method improves accuracy and convergence rate for low speed flow. It can be applied for flows at all Mach numbers.

关 键 词：预处理 全速域流动 不可压缩流动 HLLEW格式 隐式时间推进 

分 类 号：O241.3[理学—计算数学]