FREE OSCILLATION IN A ROTATING SPHERICAL-SHELL

被引：11

作者：

LONDON, S ^{[1
]}

SHEN, MC ^{[1
]}

机构：

[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706

来源：

PHYSICS OF FLUIDS | 1979年 / 22卷 / 11期

关键词：

D O I：

10.1063/1.862516

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Free oscillations of an incompressible inviscid fluid in a rotating spherical shell are studied by means of the ray method, which is different from the conventional approach. Axisymmetric modes covering the whole sphere and asymmetric modes trapped in equatorial regions bounded by critical circles of constant latitude as well as in regions off the equator bounded by caustics are discovered. The anomalies at poles and critical circles of the ray method expansion are removed by means of uniform asymptotic expansions. The equations for the resonance frequencies of each of the various modes of oscillation are studied numerically. © 1979 American Institute of Physics.

引用

页码：2071 / 2080

页数：10

共 19 条

[1] AXISYMMETRIC INERTIAL OSCILLATIONS OF A FLUID IN A ROTATING SPHERICAL SHELL [J].