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 NACA0 0 1 2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。
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.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
2004年第5期649-652,共4页
Journal of Nanjing University of Aeronautics & Astronautics
基金
国家自然科学基金 ( 5 99760 1 3 )资助项目
关键词
HLLC方法
数值模拟
非结构网格
有限体积
Godonov方法
HLLC(Harten, Lax,van Leer,Contact) method
numer ical simulation
unstructured meshes
finite volume
Godonov method
