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Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
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SYSNO ASEP 0379798 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision Author(s) Burda, P. (CZ)
Novotný, Jaroslav (UT-L) RID
Šístek, Jakub (MU-W) RID, ORCID, SAISource Title Applications of Mathematics 2012. - Praha : Matematický ústav AV ČR, v.v.i, 2012 / Brandts J. ; Chleboun J. ; Korotov S. ; Segeth K. ; Šístek J. ; Vejchodský T. - ISBN 978-80-85823-60-8 Pages s. 43-54 Number of pages 12 s. Publication form Print - P Action Applications of Mathematics 2012 Event date 02.05.2012-05.05.2012 VEvent location Prague Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords Stokes flow ; singularities ; corners ; asymptotic solution Subject RIV BA - General Mathematics R&D Projects GA106/08/0403 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 ; UT-L - RVO:61388998 UT WOS 000393849300004 Annotation We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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