On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes

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...

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Vydané v:	International journal for numerical methods in fluids Ročník 69; číslo 6; s. 1045 - 1064
Hlavní autori:	Besier, Michael, Wollner, Winnifried
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Chichester, UK John Wiley & Sons, Ltd 30.06.2012 Wiley
Predmet:	backward Euler scheme Computational methods in fluid dynamics DG method in time dynamically changing meshes Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) incompressible Navier-Stokes equations Physics pressure approximation space-time finite elements Computational fluid dynamics space-time finite elements Digital simulation Unsteady flow Finite element method incompressible Navier―Stokes equations DG method in time dynamically changing meshes Modelling backward Euler scheme Incompressible fluid pressure approximation Mesh generation Navier-Stokes equations
ISSN:	0271-2091, 1097-0363
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Shrnutí:	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.
Bibliografia:	ark:/67375/WNG-S6GK11D3-5 ArticleID:FLD2625 istex:469D0C1135C561C4B818D678B4F6D387C1A02502
ISSN:	0271-2091 1097-0363
DOI:	10.1002/fld.2625