| Issue |
ESAIM: M2AN
Volume 39, Number 6, November-December 2005
|
|
|---|---|---|
| Page(s) | 1115 - 1147 | |
| DOI | https://doi.org/10.1051/m2an:2005048 | |
| Published online | 15 November 2005 | |
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
1
Université Pierre et Marie Curie, Paris VI,
Laboratoire Jacques-Louis Lions,
, place Jussieu, 75252 Paris Cedex 05, France.
girault@ann.jussieu.fr
2
Department of Mathematics,
University of Pittsburgh, 301 Thackeray,
Pittsburgh, PA 15260, USA. riviere@math.pitt.edu
3
Center for Subsurface Modeling,
Institute for Computational Engineering and Sciences,
University of Texas, 201 E. 24th St., Austin TX 78712, USA.
mfw@ices.utexas.edu
Received:
1
September
2004
In this paper we solve the time-dependent incompressible Navier-Stokes equations by splitting the non-linearity and incompressibility, and using discontinuous or continuous finite element methods in space. We prove optimal error estimates for the velocity and suboptimal estimates for the pressure. We present some numerical experiments.
Mathematics Subject Classification: 65M12 / 65M15 / 65M60
Key words: Operator splitting / time-dependent Navier-Stokes / SIPG.
© EDP Sciences, SMAI, 2005
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