SPECTRAL VARIATIONAL APPROACH TO THE NON-NEWTONIAN STOKES PROBLEM IN A SPHERICAL-SHELL

被引：11

作者：

CADEK, O ^{[1
]}

MARTINEC, Z ^{[1
]}

MATYSKA, C ^{[1
]}

机构：

[1] ECOLE NORM SUPER, GEOPHYS LAB, F-75231 PARIS 05, FRANCE

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1992年 / 71卷 / 1-2期

关键词：

D O I：

10.1016/0010-4655(92)90072-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A hybrid-variational formulation of the Stokes equation for incompressible non-Newtonian flow is suggested. A spherical harmonic technique is adopted to discretize the problem. In the case of non-Newtonian rheology, the energy functional becomes non-quadratic. To minimize it on the set of admissible stress-functions, the gradient method is used and the convergence of the method is demonstrated.

引用

页码：56 / 70

页数：15

共 20 条

[1] Bertsekas D. P, 1982, REINFORCEMENT LEARNI
[2] CONVECTION WITH PRESSURE-DEPENDENT AND TEMPERATURE-DEPENDENT NON-NEWTONIAN RHEOLOGY
CHRISTENSEN, U
[J]. GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1984, 77 (02): : 343 - 384
[3] TIME-DEPENDENT CONVECTION WITH NON-NEWTONIAN VISCOSITY
CHRISTENSEN, UR
YUEN, DA
[J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1989, 94 (B1): : 814 - 820
[4] NUMERICAL-STUDIES OF NON-NEWTONIAN MANTLE CONVECTION
CSEREPES, L
[J]. PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1982, 30 (01) : 49 - 61
[5] Edmonds A.R., 1955, ANGULAR MOMENTUM QUA
[6] SECONDARY CONVECTION AND THE GROWTH OF THE OCEANIC LITHOSPHERE
FLEITOUT, L
YUEN, DA
[J]. PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1984, 36 : 181 - 212
[7] ENERGY DISSIPATION AND GEOMETRIC STRUCTURE AT SPREADING PLATE BOUNDARIES
FROIDEVA.C
[J]. EARTH AND PLANETARY SCIENCE LETTERS, 1973, 20 (03) : 419 - 424
[8] Hager B. H., 1989, MANTLE CONVECTION PL
[9] Jones M.N., 1985, SPHERICAL HARMONICS
[10] THE RELATIONSHIP BETWEEN PLATE VELOCITY AND TRENCH VISCOSITY IN NEWTONIAN AND POWER-LAW SUBDUCTION CALCULATIONS
KING, SD
HAGER, BH
[J]. GEOPHYSICAL RESEARCH LETTERS, 1990, 17 (13) : 2409 - 2412

← 1 2 →