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HLLC方法在三维非结构网格上的应用
引用本文:张军,谭俊杰,任登凤.HLLC方法在三维非结构网格上的应用[J].南京航空航天大学学报,2004,36(5):649-652.
作者姓名:张军  谭俊杰  任登凤
作者单位:南京理工大学动力工程学院,南京,210094
基金项目:国家自然科学基金 ( 5 99760 1 3 )资助项目
摘    要:以三维非结构网格的显式有限体积法为基础,采用格心方法以及基于近似黎曼解的二阶精度Godonov扩展方法求解三维Euler方程,使用HLLC(Harten,Lax,van Leer,Contact)近似黎曼解的方法计算网格单元边界处的守恒量通量。为了验证方法的可行性,利用三维解算器对NACA0012翼型绕流进行了数值计算,结果令人满意。在此基础上对某型弹的流场进行了数值模拟,取得了比较好的结果。

关 键 词:HLLC方法  数值模拟  非结构网格  有限体积  Godonov方法
文章编号:1005-2615(2004)05-0649-04
修稿时间:2003年11月30

Application of HLLC Method in 3D Unstructured Meshes
ZHANG Jun,TAN Jun-jie,REN Deng-feng.Application of HLLC Method in 3D Unstructured Meshes[J].Journal of Nanjing University of Aeronautics & Astronautics,2004,36(5):649-652.
Authors:ZHANG Jun  TAN Jun-jie  REN Deng-feng
Abstract:HLLC (Harten,Lax,van Leer,Contact) approxima te Riemann solver is the simplest average-state solver capable of exactly prese rving contact and shear waves. Solutions obtained by this method are essentially indistinguishable from those produced by an exact Riemann solver. If vacuum con ditions appear in flow fields, the original HLLC solver, using any of the wave- speed estimates suggested by Toro et al. or Davis fails quickly. The method can avoid the problem. The second order Godunov expansion method in conjunction with HLLC scheme is used to solve 3D Euler equations. The algorithm is based on unst ructured meshes, second-order accuratcy in time and space, explicit time steppi ng. The cell centered, finite-volume approach is used. Flows around a NACA0012 airfoil and a projectile are simulated. Simulation results are satisfactory.
Keywords:HLLC(Harten  Lax  van Leer  Contact) method  numer ical simulation  unstructured meshes  finite volume  Godonov method
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