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Title: A priori and a posteriori error estimates for Navier-Stokes equations applied to incompressible flows (English)
Author: Burda, Pavel
Author: Novotný, Jaroslav
Author: Sousedík, Bedřich
Author: Šístek, Jakub
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 6-11, 2004
Issue: 2004
Pages: 24-33
Category: math
Summary: We consider the Navier-Stokes equations for the incompressible flow in channels with forward and backward steps. The paper consists of two main parts. In the first part we investigate a posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains. We apply the a posteriori estimates to solve an incompressible flow problem in a domain with corners that cause singularities in the solution. Second part of the paper stands on the result on the asymptotics of the solution in the vicinity of nonconvex internal angles. Using now a priori error estimates we suggest an alternative approach to the adaptive mesh refinement near the corners. This approach gives very precise results in a cheap way. We give numerical results and show the pros and cons of both approaches. ()
Date available: 2015-09-08T11:11:54Z
Last updated: 2015-09-08
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