Benchmark solutions for Stokes flows in cylindrical and spherical geometry

Authors

  • I. Blinova ITMO University, Russia
  • I. Makeev ITMO University, Russia
  • I. Popov ITMO University, Russia

Keywords:

Stokes flow, benchmark solution

Abstract

Benchmark analytic solutions are obtained for systems of the Stokes and continuity equations with variable viscosity and density for cylindrical and spherical geometries. These particular analytic solutions can be used for testing computational algorithms. Examples of such implementations to benchmark the multigrid method are presented.

Author Biographies

I. Blinova, ITMO University, Russia

Department of Higher Mathematics 

I. Makeev, ITMO University, Russia

Department of Higher Mathematics 

I. Popov, ITMO University, Russia

Department of Higher Mathematics

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Published

2016-04-07

Issue

Vol. 9(58) No. 1 (2016)

Section

MATHEMATICS