The mathematical analysis of the coupling of a turbulent kinetic energy equation to the Navier-Stokes equation with an eddy viscosity

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 2, 1997, Pages 393-417

  Lewandowski, Roger ^a  

^a UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

Author keywords

Closure equation; Coupled system; Eddy viscosity; Navier Stokes equation; Reynolds problem; Turbulent kinetic energy

Indexed keywords

BOUNDARY CONDITIONS; KINETIC THEORY OF GASES; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; REYNOLDS NUMBER; TURBULENT FLOW;

CLOSURE EQUATION; COUPLED SYSTEM; DIRICHLET BOUNDARY CONDITIONS; EDDY VISCOSITY; NONNEGATIVE RADON MEASURE; TURBULENT KINETIC ENERGY;

NONLINEAR EQUATIONS;

EID: 0030825544     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00149-P     Document Type: Article

References (18)

1. MOHAMMADI B. & PIRONNEAU O., Analysis of the k-Epsilon Model. Masson (1994).
2. LAUNDER B. E. & SPALDING B. D., Mathematical Models of Turbulence. Academic Press (1972).
3. PIRONNEAU O., Private communication.
4. LEWANDOWSKI R., Modèles de turbulence et équations paraboliques. C. r. Acad. Sci. Paris 317, 835-840 (1993).
5. LEWANDOWSKI R., Stabilization of k-Epsilon models for the Navier-Stokes equation (to appear).
6. TEMAM R., Navier-Stokes Equations. North Holland (1977).
7. BOCCARDO L. & GALLOUET T., Nonlinear elliptic and parabolic equations involving measure data, J. funct. Analysis 87, 149-169 (1989).
8. LIONS P. L. & MURAT F., Solutions renormalisées d'équations elliptiques (to appear).
9. MURAT F., Soluciones renormalizadas de EDP elipticas no lineales, Cours de l'Université de Sevilles (1993).
10. HERBIN R. & GALLOUET T., Preprint Université de Savoie.
11. LEWANDOWSKI R. & MURAT F., In preparation.
12. DIPERNA R. J. & LIONS P. L., On the Cauchy problem for the Boltzmann equations: global existence and weak stability, Ann. Math. 130, 321-366 (1989).
13. BLANCHARD D. & GUIBÉ O., Private communication.
14. CLAIN S., PhD thesis (to appear)
15. BARANGER J. & MIKELIC A., Stationary solutions to a quasi-Newtonian flow with viscous heating (preprint).
16. p([0, T], B), Annali Mat. pura appl. 146(4), 65-96 (1987).
17. LIONS J. L., Quelque méthodes de résolutions de problèmes aux limites non linéaires. Gauthier Villars (1969).
18. MURAT F., Private communication.