| 改进的强隐式格式及其在三维Euler与N-S方程中的应用 |
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| 引用本文： | 刘秋生,王保国,沈孟育. 改进的强隐式格式及其在三维Euler与N-S方程中的应用[J]. 清华大学学报(自然科学版), 1996, 0(3) |
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| 作者姓名： | 刘秋生 王保国 沈孟育 |
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| 作者单位： | 清华大学工程力学系!北京100084 |
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| 基金项目： | 国家自然科学基金，国家博士后基金 |
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| 摘 要： | 将 Ｓｔｏｎｅ强隐式格式由单个方程推广到方程组，并用于三维高速可压缩流的 Ｅｕｌｅｒ和Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组的数值计算。为较好地捕捉激波、提高激波的分辨率，对离散后方程右端项的数值通量进行了改进，采用了ＮＮＤ格式的数值通量。典型三维算例表明，本格式具有高效率、高分辨率的特点，流场与实验数据较接近。
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| 关 键 词： | 三维高速流 Euler方程 N-S方程 改进的强隐式格式 |
Improved SIP scheme for numerical solutions of 3-D Euler and N-S equations and its application |
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| Liu Qiusheng,Wang Baoguo,Shen Mengyu. Improved SIP scheme for numerical solutions of 3-D Euler and N-S equations and its application[J]. Journal of Tsinghua University(Science and Technology), 1996, 0(3) |
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| Authors: | Liu Qiusheng Wang Baoguo Shen Mengyu |
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| Abstract: | The scalar scheme of Stone's strongly implicit procedure (SIP) was extended to general systems of multidimensional conservation laws. The systems contain 3-D Euler equations or 3-D Navier-Stokes equations. This study focuses on the simulation of fluid flows with strong shocks in three dimensions. and presents an efficient and high-resolution implicit hybrid scheme combining improved SIP with the NND scheme, which is proved suitable for shock-capturing calculation in gasdynamics. Numerical experiments suggest that the improved SIP scheme not only be able to have a fairly rapid convergence rate, but also can generate a highly resolved approximation to the steady-state solution. The scheme leads to an effective nonoscillatory shock capturing method for steady flow. |
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| Keywords: | D high speed flow Euler equations Navier-Stokes equations improved SIP scheme |
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