eprintid: 11125
rev_number: 5
eprint_status: archive
userid: 1
dir: disk0/00/01/11/25
datestamp: 2010-10-18 11:37:23
lastmod: 2015-04-21 13:33:00
status_changed: 2012-08-15 08:55:43
type: preprint
metadata_visibility: show
creators_name: Besier, Michael
creators_name: Wollner, Winnifried
title: On the Dependence of the Pressure on the Time Step in Incompressible Flow Simulations on Varying Spatial Meshes
ispublished: pub
subjects: ddc-510
divisions: i-708000
keywords: space-time finite elements , dynamically changing meshes , incompressible fluids , pressure approximation , discontinuous Galerkin method in time
abstract: Subject of this paper is an analysis of the behavior of the pressure on dynamically changing spatial meshes during the computation of nonstationary incompressible flows. In particular, we are concerned with discontinuous Galerkin finite element discretizations in time. Here it is observed that whenever the spatial mesh is changed between two time steps the pressure in the next time step will diverge with order $k^{-1}$. We will proof that this behavior is due to the fact, that discrete solenoidal fields lose this property under changes of the spatial discretization. In addition we will numerically study the fractional-step-$theta$ scheme, and discuss why the divergence is not observed when using this time discretization. Finally we will derive a possible way to circumvent this problem.
abstract_translated_lang: ger
class_scheme: msc
class_labels: 65M12, 65M60, 65M50, 76D05, 76M10
date: 2010
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00011125
portal_cluster_id: p-iwrpp
portal_order: 11125
ppn_swb: 1650298757
own_urn: urn:nbn:de:bsz:16-opus-111253
language: eng
bibsort: BESIERMICHONTHEDEPEN2010
full_text_status: public
series: IWR-Preprints
citation:   Besier, Michael ; Wollner, Winnifried  (2010) On the Dependence of the Pressure on the Time Step in Incompressible Flow Simulations on Varying Spatial Meshes.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/11125/1/BesierWollner2010.pdf