The local discontinuous Galerkin method for linearized incompressible fluid flow: A review

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

In this paper, we review the development of the so-called local discontinuous Galerkin method for linearized incompressible fluid flow. This is a stable, high-order accurate and locally conservative finite element method whose approximate solution is discontinuous across inter-element boundaries; this property renders the method ideally suited for hp-adaptivity. In the context of the Oseen problem, we present the method and discuss its stability and convergence properties. We also display numerical experiments that show that the method behaves well for a wide range of Reynolds numbers.

Original languageEnglish (US)
Pages (from-to)491-506
Number of pages16
JournalComputers and Fluids
Volume34
Issue number4-5 SPEC.ISS.
DOIs
StatePublished - Jan 1 2005

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