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Published in:
2000 | OriginalPaper | Chapter
A Discontinuous Galerkin Method for the Incompressible Navier-Stokes Equations
Authors : Ohannes Karakashian, Theodoros Katsaounis
Published in: Discontinuous Galerkin Methods
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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Approximations to solutions of the inhomogeneous boundary value problem for the Navier-Stokes equations are constructed via the discontinuous Galerkin method. The velocity field is approximated using piecewise polynomial functions that are totally discontinuous across interelement boundaries and which are pointwise divergence-free on each element (locally solenoidal). The pressure is approximated by standard continuous piecewise polynomial functions.