Semi-analytical solution for viscous Stokes flow in two eccentrically nested spheres

被引：0
|
作者：
Tosi, Nicola [1 ]
Martinec, Zdenek [1 ]
机构：
[1] Geoforschungszentrum Potsdam, Dept Geodesy & Remote Sensing 1, Potsdam, Germany
来源：
GEOPHYSICAL JOURNAL INTERNATIONAL | 2007年 / 170卷 / 03期
关键词：
finite-element methods; geoid; lateral heterogeneity; mantle convection; mantle viscosity; spherical harmonics;
D O I：
10.1111/j.1365-246X.2007.03482.x
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
Applying the infinite Prandtl number approximation, a semi-analytical solution for computing 2-D axisymmetric viscous Stokes flow in a model consisting of two eccentrically nested spheres of different viscosities is derived. Since numerical codes based on spectral or finite techniques for modelling mantle flow in a spherical geometry in the presence of lateral viscosity variation are becoming more and more popular, reliable examples for testing and validating such codes are extremely useful. The eccentrically nested sphere solution was used to test a numerical algorithm based on a mixed spherical-harmonic finite-element formulation of the Stokes problem, and good agreement was obtained.
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页码：1015 / 1030
页数：16
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