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

✍ Scribed by Bernardo Cockburn; Guido Kanschat; Dominik Schötzau

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
389 KB
Volume
34
Category
Article
ISSN
0045-7930

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✦ Synopsis

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.

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