eprintid: 6334
rev_number: 25
eprint_status: archive
userid: 1
dir: disk0/00/00/63/34
datestamp: 2006-05-02 13:55:53
lastmod: 2016-01-20 11:15:14
status_changed: 2012-08-14 15:18:11
type: preprint
metadata_visibility: show
creators_name: Cockburn, Bernardo
creators_name: Kanschat, Guido
creators_name: Schötzau, Dominik
title: A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
ispublished: pub
subjects: ddc-510
divisions: i-708000
cterms_swd: Finite-Elemente-Methode
cterms_swd: Navier-Stokes-Gleichung
cterms_swd: Inkompressible Strömung
cterms_swd: Numerische Strömungssimulation
note: The original publication ist available at www.springerlink.com unter: http://www.springerlink.com/content/1573-7691/?k=10.1007%2fs10915-006-9107-7 
abstract: We present a class of discontinuous Galerkin methods for the   incompressible Navier-Stokes equations yielding exactly   divergence-free solutions. Exact incompressibility is achieved by   using divergence-conforming velocity spaces for the approximation of   the velocities. The resulting methods are locally conservative,   energy-stable, and optimally convergent. We present a set of   numerical tests that confirm these properties. The results of this   note naturally expand the work in a previous publication on Navier-Stokes equations
abstract_translated_lang: eng
class_scheme: msc
class_labels: 76M10, 65N30, 74S05
date: 2006
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00006334
portal_cluster_id: p-iwrpp
portal_order: 06334
ppn_swb: 1646175905
own_urn: urn:nbn:de:bsz:16-heidok-63340
language: eng
bibsort: COCKBURNBEANOTEONDIS2006
full_text_status: public
series: IWR-Preprints
citation:   Cockburn, Bernardo ; Kanschat, Guido ; Schötzau, Dominik  (2006) A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/6334/1/paper.pdf