THE STOKES PROBLEM WITH 3D NEWTONIAN RHEOLOGY IN A SPHERICAL-SHELL

Citation
Z. Martinec et al., THE STOKES PROBLEM WITH 3D NEWTONIAN RHEOLOGY IN A SPHERICAL-SHELL, Computer physics communications, 76(1), 1993, pp. 63-79
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Computer Applications & Cybernetics","Physycs, Mathematical
ISSN journal
00104655
Volume
76
Issue
1
Year of publication
1993
Pages
63 - 79
Database
ISI
SICI code
0010-4655(1993)76:1<63:TSPW3N>2.0.ZU;2-S
Abstract
A variational approach is used to solve the linear Stokes problem with a three-dimensional viscosity in a spherical shell. A semi-spectral m ethod is proposed to discretize the problem. To minimize the energy fu nctional on the set of admissible velocities, the gradient method with projection is employed. The method can be used in studies of planetar y interiors with complex rheological structures.