Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal approximations

Author (s): Montlaur, A.; Fernandez-Mendez,S.; Peraire, J. and Huerta, A.
Journal: International Journal for Numerical Methods in Fluids

Volume: 64, Issue 5
Pages: 549 – 564
Date: 2010


An Interior Penalty Method and a Compact Discontinuous Galerkin method are proposed and compared for the solution of the steady incompressible Navier-Stokes equations. Both compact formulations can be easily applied using high-order piecewise divergence-free approximations, leading to two uncoupled problems: one associated to velocity and hybrid pressure, and the other one only concerned with the computation of pressures in the elements interior. Numerical examples compare efficiency and accuracy of both proposed methods.

Key words: Compact Discontinuous Galerkin; Interior Penalty Method; Navier-Stokes; high-order; solenoidal; incompressible; hybrid pressure



  Author   = {Montlaur, A. and Fernandez-Mendez, S. and Peraire, J. and Huerta, A.},
  Title    = {Discontinuous {G}alerkin methods for the {N}avier-{S}tokes equations using solenoidal approximations},
  Fjournal = {International Journal for Numerical Methods in Fluids},
  Journal  = {0271-2091},
  Volume   = {64},
  Number   = {5},
  Pages    = {549--564},
  Year     = {2010},
  Doi      = {10.1002/fld.2161},
  Url      = {http://dx.doi.org/10.1002/fld.2161}}