计算物理 ›› 1992, Vol. 9 ›› Issue (2): 111-118.
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黄东涛, 沈孟育, 陈永亮
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Huang Dongtao, Shen Mengyu, Chen Yongliang
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摘要： 本文从三维Euler方程出发,采用隐式矢通量分裂并结合Gauss-Seidel线迭代以形成一种非近似因式分解的有效算法。在该算法格式中右端的显式项采取二阶精度的离化处理,在求解隐式方程时,采用沿主流动方向往返扫描一次,其余两个方向交替变换Gauss-Seidel线迭代推进方向的方法。
关键词: 跨音速流, 欧拉方程, 隐式矢通量分裂, 叶栅
Abstract: This paper presents an unfactored efficient algorithm for 3-D Euler equationsbased on the implicit flux-splitting and the line Gauss-Seidel iteration. In the algorithm the explicit terms on the right side of the discretization equation are treated in second order accuracy and to solve the implicit discretization equation one back-and-forth sweep in the main flow direction is taken and an alternating direction line G-S interation is carried out in the other two directions. The numerical calculations of 3-D transonic cascade inviscid blow tave shown that the algorithm has a quite high convergent rate.
Key words: transonic flow, Euler equations, implicit flux-splitting, cascade
黄东涛, 沈孟育, 陈永亮. 隐式通量分裂线松驰迭代求解三维跨音速叶栅无粘绕流计算[J]. 计算物理, 1992, 9(2): 111-118.
Huang Dongtao, Shen Mengyu, Chen Yongliang. A NUMERICAL SIMULATION OF THREE DIMENSIONAL TRANSONIC CASCADE IN VISCID FLOW[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(2): 111-118.
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http://www.cjcp.org.cn/CN/Y1992/V9/I2/111
