Using the generalized variable formulation of the Euler equations of fluid dynamics, we develop a numerical method that is capable of simulating the flow of fluids with widely differing thermodynamic behavior: ideal and real gases can be treated with the same method as an incompressible fluid. The w
Construction of stabilization operators for Galerkin least-squares discretizations of compressible and incompressible flows
β Scribed by M. Polner; L. Pesch; J.J.W. van der Vegt
- Book ID
- 104013405
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 967 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0045-7825
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β¦ Synopsis
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.
π SIMILAR VOLUMES
In this paper we are concerned with a weighted least-squares finite element method for approximating the solution of boundary value problems for 2-D viscous incompressible flows. We consider the generalized Stokes equations with velocity boundary conditions. Introducing the auxiliary variables (stre
A Galerkin finite element method is considered to approximate the incompressible Navier-Stokes equations together with iterative methods to solve a resulting system of algebraic equations. This system couples velocity and pressure unknowns, thus requiring a special technique for handling. We conside