| 基于Van Leer＋AUSM混合格式求解三维N-S方程 |
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| 引用本文： | 王学德,谭俊杰,唐振华,张声奇,王志伟.基于Van Leer＋AUSM混合格式求解三维N-S方程[J].航空计算技术,2010,40(6):30-34. |
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| 作者姓名： | 王学德 谭俊杰 唐振华 张声奇 王志伟 |
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| 作者单位： | 南京理工大学动力工程学院,江苏南京210094 |
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| 基金项目： | "十一五"气动预研资助项目，教育部博士点基金，南京理工大学科研发展基金 |
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| 摘 要： | 基于多块粘性结构网格,开展了三维N-S方程数值算法的研究。控制方程的空间离散采用有限体积法,在前人工作的基础上,发展了Van Leer＋AUSM混合格式并应用到对流通量的离散中,粘性项采用中心格式离散并利用格林定理计算粘性通量中的导数项,时间推进采用五步R-K法,湍流模型为S-A一方程模型。最后,以M6机翼和某超声速弹丸的粘性流场作为数值算例,计算表明：发展的数值算法对跨声速、超声速流场均具有较高的分辨率,适用于跨、超声速流场的数值模拟。
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| 关 键 词： | N-S方程 粘性结构网格 Van Leer＋AUSM格式 S-A湍流模型 |
Numerical Simulation of N-S Equations Based on Van Leer+AUSM Scheme |
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| WANG Xue-de,TAN Jun-jie,TANG Zhen-hua,ZHANG Sheng-qi,WANG Zhi-wei.Numerical Simulation of N-S Equations Based on Van Leer+AUSM Scheme[J].Aeronautical Computer Technique,2010,40(6):30-34. |
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| Authors: | WANG Xue-de TAN Jun-jie TANG Zhen-hua ZHANG Sheng-qi WANG Zhi-wei |
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| Institution: | (School of Power Engineering,NUST,Nanjing 210094,China) |
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| Abstract: | Numerical Simulation of N-S Equations Based on Van Leer＋AUSM Scheme has been developed in this paper.Patched grid method is used to generate viscous grids.Finite volume method is used in spatial discrimination,Van Leer＋AUSM flux splitting scheme is developed to calculate the convection flux,the viscous flux is calculated by central finite volume scheme.The multistage five Runge-Kutta time-stepping scheme is applied to temporal discretisation.Spalart-Allmaras one-equation turbulence model is implemented to evaluate the turbulent viscosity.Finally,transonic M6 wing flowfield and supersonic misslie flowfield were simulated to validate its accuracy and ability to deal with complex flow. |
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| Keywords: | N-S equation viscous structured grids van Leer＋AUSM scheme S-A turbulence model |
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