Lin-Reissner-Tsien方程的自相似解

Self-Similar Solutions to the Lin-Reissner-Tsien Equation

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摘要 Lin-Reissner-Tsien方程描述了在跨音速近似下的不稳定跨音速流动.通过相似变换,将Lin-Reissner-Tsien方程简化为一个常微分方程.然后解析求解所得到的方程,并在某些情况下得到的正好是精确解.上述情况下无法得到精确解时,给出了数值模拟.还得到了行波解. The Lin-Reissner-Tsien equation describes unsteady transonic flows under the tran- sonic approximation. The equation was reduced to an ordinary differential equation via a simi- laxity transformation. The resulting equation was then solved analytically, and in some cases even exactly. Numerical simulations were provided for the cases in which there were no exact solutions. Traveling wave solutions were also obtained.

作者 J·郝泽曼 K·法拉菲路 R·A·冯歌德黄雅意(译) 张禄坤(校)

机构地区中佛罗里达大学数学系不详

出处《应用数学和力学》 CSCD 北大核心 2011年第11期1352-1360,共9页 Applied Mathematics and Mechanics

关键词 Lin—Reissner—Tsien方程自相似解跨音速近似非线性偏微分方程 Lin-Reissner-Tsien equation serf-similar solutions transonic approximation non- linear partial differential equation

分类号 O175 [理学—基础数学]

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应用数学和力学

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Lin-Reissner-Tsien方程的自相似解

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