Une methode d'elements finis pour les ecoulements internes compressibles : application aux ejecteurs
Keywords:
Navier-Stokes and Euler equations, enthalpic variables, shock capturing, SUPG, turbulence, algebraic model, nozzles, ejectorsAbstract
This paper presents a finite element method for the simulation of two-dimensional internal compressible flows. The Navier-Stokes equations are solved in terms of the so-called enthalpic variables: the static pressure p, the momentum per unit volume U and the total specific enthalpy h. The variational formulation is a variante of the SUPG method. The stability of this method is reenforced by the use of a discontinuity capturing operator. A turbulence algebraic model for the simulation of flows in ejectors is built. It consists in separating the flow into two regions: one near the wall where the Baldwin-Lomax model is applied and the other, far from the wall, where a new formulation, based on the Schlichting model for free jets, is proposed. The turbulent viscosity evaluation, on an unstructured grid, is a variante of the Rostand's technic. The discretization of the variational form is done on a P l/P2 element and uses an implicit scheme. The algebraic system is solved using the GMRES algorithm with diagonal preconditioning. Numerical tests were carried on several nozzles. The main application is the simulation of the turbulent flow in an ejector. The obtained results are compared with those of other authors.
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