耗散与局地地形激发的代数孤立长波

计算物理 ›› 2002, Vol. 19 ›› Issue (2): 159-167.

耗散与局地地形激发的代数孤立长波

MENG Lu¹, 吕克利²

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

收稿日期:2000-02-13 修回日期:2001-06-10 出版日期:2002-03-25 发布日期:2002-03-25
作者简介:Meng Lu(1971-),male,PhD.

DISSIPATION AND ALGEBRAIC SOLITARY LONG-WAVES EXCITED BY LOCALIZED TOPOGRAPHY

MENG Lu¹, LÜ Ke-li²

1. Department of Physics, The City College of The City University of New York, New York, NY 10031, USA;
2. Department of Atmospheric Sciences, Nanjing University, Nanjing 210093, P R China

Received:2000-02-13 Revised:2001-06-10 Online:2002-03-25 Published:2002-03-25

摘要/Abstract

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局地地形强迫,数值积分强迫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, 局地强迫, 代数孤波

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.

Key words: forced BDO-Burgers equation, localized topography, algebraic solitary wave

中图分类号:

O241.82

MENG Lu, 吕克利. 耗散与局地地形激发的代数孤立长波[J]. 计算物理, 2002, 19(2): 159-167.

MENG Lu, LÜ Ke-li. DISSIPATION AND ALGEBRAIC SOLITARY LONG-WAVES EXCITED BY LOCALIZED TOPOGRAPHY[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 19(2): 159-167.