| 跨声流函数方程的多层网格-强隐式解法 |
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| 引用本文： | 王保国. 跨声流函数方程的多层网格-强隐式解法[J]. 计算物理, 1987, 4(1): 71-78 |
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| 作者姓名： | 王保国 |
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| 作者单位： | 中国科学院工程热物理所 |
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| 摘 要： | 本文是文献[1]工作的继续,是研究在多层网格上采用强隐式过程(即Strogly Implicit Procedure)求解跨声速流函数方程的问题。使用多层网格技术,可消除不同频率或波长的误差分量,有助于残差下降;在每层求解中采用强隐式解法将五对角系数矩阵变为七对角阵以便快速因式分解获取流函数场。文中以四层网格为例,详细研究了在每层求解流函数方程时采用强隐式解和在任意两层间使用FAS法(即Full APProximation Storage)时层间转换等一些重要技术细节,计算了一组典型跨声速双圆弧平面叶栅,所得结果与实验较吻合,并且残差收敛速度要比单层网格快得多,表明多层网格法十分有效。
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| 收稿时间： | 1986-09-16 |
MULTIGRID-SIP TECHNIQUE APPLIED TO TRANSONIC CASCADE FLOW USING STREAM FUNCTION EQUATION |
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| Wang Bao-Guo. MULTIGRID-SIP TECHNIQUE APPLIED TO TRANSONIC CASCADE FLOW USING STREAM FUNCTION EQUATION[J]. Chinese Journal of Computational Physics, 1987, 4(1): 71-78 |
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| Authors: | Wang Bao-Guo |
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| Affiliation: | Institute of Engineering Thermophysics, Academia Sinica, Beijing China |
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| Abstract: | The transonic stream function equation in strong conservation form is solved on a body-fitted coordinate system using Stone's strongly implicite-relaxation procedure enhanced by the FAS(Full Approximation Storage) alg-orithm of the multi-grid technique. As an application of such a Multigrid Strongly Implicit procedure, numerical solutions for transonic flow past sveral cascades have been computed, with satisfactory results. |
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