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Discontinuous Galerkin finite element approximation of the two-dimensional Navier-Stokes equations in stream-function formulation

Abstract:

In this paper, we present the construction and computational assessment of an hp-version discontinuous Galerkin finite element method (DGFEM) for the numerical solution of the Navier-Stokes equations governing 2D stationary incompressible flows. Using a stream-function formulation, which ensures that the incompressibility constraint is automatically satisfied, we reduce the system of Navier-Stokes equations to a single fourth-order nonlinear partial differential equation. We introduce a discr...

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Publication status:
Published

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Publisher copy:
10.1002/cnm.944

Authors


Volume:
23
Issue:
6
Pages:
447-459
Publication date:
2007-06-05
DOI:
EISSN:
1099-0887
ISSN:
1069-8299
URN:
uuid:a24b1b99-9c6f-473a-b3a1-4cb4a01c3e91
Source identifiers:
188308
Local pid:
pubs:188308

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