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On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes
Author(s) -
Besier Michael,
Wollner Winnifried
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2625
Subject(s) - polygon mesh , discretization , solenoidal vector field , compressibility , computation , temporal discretization , incompressible flow , finite element method , flow (mathematics) , pressure correction method , mathematics , computational fluid dynamics , mathematical optimization , mathematical analysis , geometry , mechanics , physics , algorithm , vector field , thermodynamics
SUMMARY The subject of this paper is a defect in the approximation of the pressure on dynamically changing spatial meshes in the computation of nonstationary incompressible flows. The observed behavior is due to the fact that discrete solenoidal fields lose this property under changes of the spatial discretization. This phenomenon is analyzed for DG finite element discretizations in time, and possible ways are considered to circumvent this problem. Copyright © 2011 John Wiley & Sons, Ltd.