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A hybridizable discontinuous Galerkin method for the Navier--Stokes equations with pointwise divergence-free velocity field. (arXiv:1704.07569v1 [math.NA])
来源于:arXiv
We introduce a hybridizable discontinuous Galerkin method for the
incompressible Navier--Stokes equations for which the approximate velocity
field is pointwise divergence-free. The method proposed here builds on the
method presented by Labeur and Wells [SIAM J. Sci. Comput., vol. 34 (2012), pp.
A889--A913]. We show that with simple modifications of the function spaces in
the method of Labeur and Wells that it is possible to formulate a simple method
with pointwise divergence-free velocity fields, and which is both momentum
conserving and energy stable. Theoretical results are verified by two- and
three-dimensional numerical examples and for different orders of polynomial
approximation. 查看全文>>