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Application of a posteriori error estimates for Navier‐Stokes equations to fluid flow in a channel with corners
Author(s) -
Burda P.,
Novotný J.,
Sousedík B.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310141
Subject(s) - a priori and a posteriori , compressibility , gravitational singularity , constant (computer programming) , navier–stokes equations , domain (mathematical analysis) , flow (mathematics) , stokes flow , hagen–poiseuille flow from the navier–stokes equations , mathematics , channel (broadcasting) , pressure correction method , incompressible flow , mathematical analysis , geometry , computer science , mechanics , physics , computer network , philosophy , epistemology , programming language
We investigate a posteriori error estimates for the Stokes and Navier‐Stokes equations for incompressible fluid problem on 2D polygonal domains. We have determined accurately the constant that appears in the estimates. We apply these results to the technique of adaptive mesh refinement ‐ we solve an incompressible flow problem in a domain with corners that cause singularities in the solution.