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耗散与局地地形激发的代数孤立长波(英)
引用本文:Meng Lu,吕克利.耗散与局地地形激发的代数孤立长波(英)[J].计算物理,2002,19(2):159-167.
作者姓名:Meng Lu  吕克利
作者单位:1. 美国纽约市立大学市立学院,物理系,纽约NY 10031
2. 南京大学大气科学系,江苏,南京,210093
摘    要:利用包括地形外源和湍流耗散的准地转涡度方程导出了包含强迫项和湍流耗散项的非齐次强迫BDO-Burgers方程,求出了小耗散存在情况下BDO-Burgers方程的近似解析解,讨论了代数孤立波的质量和能量的守恒关系,最后,对给定的弱切变基本气流和避地地形强迫,数据积分强迫BDO-Burgers方程,求得了不同参数下的数值解。

关 键 词:强迫BDO-Burgers方程  湍流耗散  代数孤立波  质量守恒  能量守恒  局地地形激发

DISSIPATION AND ALGEBRAIC SOLITARY LONG-WAVES EXCITED BY LOCALIZED TOPOGRAPHY
Meng Lu.DISSIPATION AND ALGEBRAIC SOLITARY LONG-WAVES EXCITED BY LOCALIZED TOPOGRAPHY[J].Chinese Journal of Computational Physics,2002,19(2):159-167.
Authors:Meng Lu
Abstract:An inhomogeneous Benjamin-Davis-Ono-Burgers equation including topographic forcing and turbulent dissipation is derived in terms of the quasi-geostrophic vorticity equation, an approximate analytic solution of the BDO-Burgers equation with a small dissipation is obtained, the time variations of mass and energy of the algebraic solitary waves are discussed, and finally, the forced BDO-Burgers equation is integrated numerically and the numerical solutions are given for a given basic flow with a weak shear and a localized topographic forcing.
Keywords:forced BDO-Burgers equation  localized topography  algebraic solitary wave
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