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JSCIC
2007

A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations

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A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations
We present a class of discontinuous Galerkin methods for the incompressible Navier-Stokes equations yielding exactly divergence-free solutions. Exact incompressibility is achieved by using divergence-conforming velocity spaces for the approximation of the velocities. The resulting methods are locally conservative, energy-stable, and optimally convergent. We present a set of numerical tests that confirm these properties. The results of this note naturally expand the work in [15].
Bernardo Cockburn, Guido Kanschat, Dominik Sch&oum
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2007
Where JSCIC
Authors Bernardo Cockburn, Guido Kanschat, Dominik Schötzau
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