ASYMPTOTIC ANALYSIS OF THE FORCED INTERNAL GRAVITY WAVE EQUATION

被引：19

作者：

Rees, Tim ^{[1
]}

Lamb, Kevin G. ^{[2
]}

Poulin, Francis J. ^{[2
]}

机构：

[1] Univ Victoria, Sch Earth & Ocean Sci, Victoria, BC V8W 2Y2, Canada

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2012年 / 72卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

asymptotic analysis; steepest descents; impulsive forcing; internal gravity waves; GENERATION; REFLECTION; ATMOSPHERE; BEAMS;

D O I：

10.1137/110842892

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper an asymptotic analysis of impulsively started, forced linear internal gravity waves is presented. This investigation describes horizontally propagating waves for fluids with constant buoyancy frequency in a domain of finite vertical extent. The analysis provides a description for the wave field in the large time limit. The asymptotic solution is derived using the method of steepest descents, and the results are compared against numerical experiments to demonstrate their accuracy.

引用

页码：1041 / 1060

页数：20

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