Number of the records: 1

Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method

SYSNO ASEP	0362928
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method
Author(s)	Burda, P. (CZ) Novotný, Jaroslav (UT-L)_RID Šístek, Jakub (MU-W)_{RID, ORCID, SAI}
Source Title	Computational Fluid Dynamics 2010. - Berlin : Springer, 2011 / Kuzmin A. - ISBN 978-3-642-17883-2
Pages	s. 799-805
Number of pages	7 s.
Action	International Conference on Computational Fluid Dynamics /6./
Event date	12.07.2010-16.07.2010
VEvent location	St Petersburg
Country	RU - Russian Federation
Event type	WRD
Language	eng - English
Country	DE - Germany
Keywords	Navier-Stokes flow ; singularity ; lid driven cavity ; adjusted mesh
Subject RIV	BA - General Mathematics
R&D Projects	GA106/08/0403 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
	AV0Z20760514 - UT-L (2005-2011)
UT WOS	000292954200101
EID SCOPUS	84890308241
DOI	10.1007/978-3-642-17884-9_101
Annotation	The problem of singularities caused by boundary conditions is studied on the flow in lid driven cavity. The asymptotic behaviour of pressure near the singularity locations is used together with the a priori error estimates of the finite element solution, in order to design the finite element mesh adjusted to singularity. In this way a very precise solution in the vicinity of the singularity is obtained. A posteriori error estimates are used as the principal tool for error analysis. Numerical results showing the dramatic improvement in pressure calculation are presented.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1