Paper Info
Title
A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field.
Abstract
We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations for which the approximate velocity field is pointwise divergence-free. The method builds on the method presented by Labeur and Wells (SIAM J Sci Comput 34(2):A889–A913, 2012). We show that with modifications of the function spaces in the method of Labeur and Wells it is possible to formulate a simple method with pointwise divergence-free velocity fields which is momentum conserving, energy stable, and pressure-robust. Theoretical results are supported by two- and three-dimensional numerical examples and for different orders of polynomial approximation.
Year
DOI
Venue
2018
10.1007/s10915-018-0671-4
Journal of Scientific Computing
Keywords
DocType
Volume
Navier–Stokes equations, Hybridized methods, Discontinuous Galerkin, Finite element methods, Solenoidal
Journal
abs/1704.07569
Issue
ISSN
Citations 
3
0885-7474
5
PageRank 
References 
Authors
0.44
16
2
Name
Order
Citations
PageRank
Sander Rhebergen1486.09
Garth N. Wells220220.08