title: A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
creator: Cockburn, Bernardo
creator: Kanschat, Guido
creator: Schötzau, Dominik
subject: ddc-510
subject: 510 Mathematics
description: 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
date: 2006
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/6334/1/paper.pdf
identifier: DOI:10.11588/heidok.00006334
identifier: urn:nbn:de:bsz:16-heidok-63340
identifier:   Cockburn, Bernardo ; Kanschat, Guido ; Schötzau, Dominik  (2006) A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/6334/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng