| 用格子Boltzmann方程模拟浅水波问题 |
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| 引用本文： | 施卫平,胡守信,阎广武.用格子Boltzmann方程模拟浅水波问题[J].力学学报,1997,29(5):525-529. |
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| 作者姓名： | 施卫平 胡守信 阎广武 |
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| 作者单位： | 长春吉林大学数学科学学院 力学系， 130012 |
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| 摘 要： | 提出了用格子Ｂｏｌｔｚｍａｎｎ方程（ＬＢＥ）模拟浅水波问题的方法．通过无粘气体运动方程与浅水波方程的比较，确定了ＬＢＥ方法中平衡态的形式，使宏观方程与浅水波方程一致．计算了二维浅水波的一个问题，数值结果与精确解做了比较．
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| 关 键 词： | 浅水波 格子波兹曼方程 数值解 精确解 |
A LATTICE BOLTZMANN EQUATION METHOD FOR THE SHALLOW WATER WAVE EQUATIONS |
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| Shi Weiping,Hu Shouxin,Yan Guangwu.A LATTICE BOLTZMANN EQUATION METHOD FOR THE SHALLOW WATER WAVE EQUATIONS[J].chinese journal of theoretical and applied mechanics,1997,29(5):525-529. |
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| Authors: | Shi Weiping Hu Shouxin Yan Guangwu |
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| Abstract: | We proposed a lattice Boltzmann equation (LBE) method to simulate the shallow water wave equations. If the viscosity of the gas is negligible, the gas macrodynamical equations are compared with the shallow water equation, and the equilibrium distribution function can be given. Numerical results are compared with the exact solution given by W.C.Thacker. |
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| Keywords: | lattice Boltzmann equation shallow water wave |
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