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用四阶Runge-Kuta法和TVD格式求解两维跨超音流场
引用本文:王尚锦,倪明玖,席光.用四阶Runge-Kuta法和TVD格式求解两维跨超音流场[J].航空动力学报,1995,10(3):221-224,308.
作者姓名:王尚锦  倪明玖  席光
作者单位:西安交通大学
摘    要:利用坐标转换给出两维任意曲线坐标系下雅可比矩阵特征值、特征向量及Harten型TVD格式的详细表达式, 并结合四阶Runge-Kuta法发展了一种新的、有效的求解超音、跨音流场的算法。数值计算表明, 本文的方法可有效地求解跨音流场。 

关 键 词:TVD格式    四阶Runge-Kuta法    Euler方程组    超跨音流场
收稿时间:7/1/1994 12:00:00 AM
修稿时间:9/1/1994 12:00:00 AM

COMPUTATION OF 2-D TRANSONIC AND SUPERSONIC FLOW FIELDS USING TVD SCHEME AND FOUR-STAGE RUNGE-KUTTA TECHNIQUE
Wang Shangjin,Ni Mingjiu and Xi Guang.COMPUTATION OF 2-D TRANSONIC AND SUPERSONIC FLOW FIELDS USING TVD SCHEME AND FOUR-STAGE RUNGE-KUTTA TECHNIQUE[J].Journal of Aerospace Power,1995,10(3):221-224,308.
Authors:Wang Shangjin  Ni Mingjiu and Xi Guang
Institution:SER Research Centrer,Xi’an Jiaotong University 710049
Abstract:Harten′s TVD scheme is extented to 2-D general curvilinear coordinates by local rotation matrix translation.A new fully explicit solving method based on Four-Stage Runge-Kutta technique is developed to predict 2-D supersonic and transonic flow field.Comparison between computation and experiment is presented for both supersonic and transonic flow.The numerical results show that this scheme is not only convenient to solve the supersonic flow,but also capable of predicting the transonic flow. 
Keywords:Euler motion equation Supersonic flow Transonic flow
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