Abstract
The design and analysis of a class of stabilization operators suitable for space-time Galerkin least-squares finite element discretizations of the symmetrized compressible Navier-Stokes equations is discussed. The obtained stabilization matrix is well defined in the incompressible limit and reduces to the matrix described in [M. Polner, J.J.W. van der Vegt and R.M.J. van Damme, Analysis of stabilization operators for Galerkin least-squares discretizations of the incompressible Navier-Stokes equations, Comput. Meth. Appl. Mech. Eng., 195(2006):982--1006]. The stabilization matrix is investigated to give necessary and sufficient conditions for its positive definiteness. Under these conditions on the stabilization matrix, the Galerkin least-squares method for the symmetrized compressible Navier-Stokes equations satisfies the entropy condition, which ensures global nonlinear stability of the discretization.
Original language | Undefined |
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Article number | 10.1016/j.cma.2007.01.003 |
Pages (from-to) | 2431-2448 |
Number of pages | 18 |
Journal | Computer methods in applied mechanics and engineering |
Volume | 196 |
Issue number | 1/21-24 |
DOIs | |
Publication status | Published - 2007 |
Keywords
- EWI-8552
- IR-63818
- METIS-241934