Analytical benchmark solution for Stokes flow with variable viscosity in spherical layer Online publication date: Mon, 29-Jan-2018
by Igor Y. Popov; Ilya Makeev; Irina V. Blinova
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 18, No. 1, 2018
Abstract: Stokes flow with variable viscosity in a spherical layer is considered. This task appears in many geophysical problems related to mantle convection. For a particular case of spherically symmetric viscosity and density distributions, a solution of the system of the Stokes and continuity equations is constructed in an analytic form. We demonstrate how these solutions can be used for creation of test problems suitable for benchmarking numerical algorithms. Finite difference scheme for multigrid algorithm for solving Stokes equations with variable viscosity in a spherical coordinate system has been derived. Scheme has been tested by comparing with benchmark solutions.
Online publication date: Mon, 29-Jan-2018
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