| 三维可压缩流欧拉方程组的隐式时间推进法 |
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| 引用本文： | 权正五.三维可压缩流欧拉方程组的隐式时间推进法[J].空气动力学学报,1990,8(1):9-17. |
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| 作者姓名： | 权正五 |
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| 作者单位： | 吉林工业大学 |
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| 摘 要： | 本文提出了求解三维定常无粘可压缩流场问题的一种隐式时间推进法。在计算空间以逆变速度分量为未知变量的欧拉方程组为控制方程,从而简化壁面边界的处理。在Beam-Warming的AF-方法基础上,用对角化及矢通量分裂等方法提高了计算速度及解的精度和稳定性。作为算例,对伴有激波的方形收放喷管跨声速流动进行了计算,以显示方法的有效性。
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| 关 键 词： | 可压缩流 欧拉方程 三维 时间推进 |
AN IMPLICIT TIME-MARCHING METHOD FOR SOLVINGTHE THREE-DIMENSIONAL COMPRESSIBLE EULER EQUATIONS |
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| Quan Zhengwu.AN IMPLICIT TIME-MARCHING METHOD FOR SOLVINGTHE THREE-DIMENSIONAL COMPRESSIBLE EULER EQUATIONS[J].Acta Aerodynamica Sinica,1990,8(1):9-17. |
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| Authors: | Quan Zhengwu |
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| Institution: | Jilin University of Technology |
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| Abstract: | An implicit time-marching method is presented for computing the three-dimensional steady inviscid compressible flow fields. The governing equations on the transformed space are formed by using the contravariant velocity components of the Euler equations, the treatment on the wall boundaries is simplified. Based on Beam-Warming's AF-scheme, the diagonalization and vector-flux splitting methods are used for improving the computing speed and the accuracy stability of the solutions. A numerical example for the transonic flows with shock wave in the converging-diverging square nozzle is used to indicate the effectiveness of this scheme. |
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| Keywords: | compressible flow time-marching method contravariant velocity components |
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