Modelling of compressible flows with highly oscillating initial data by homogenization

Applied Numerical Mathematics

Volumn 26, Issue 4, 1998, Pages 435-464

  Rebollo, Tomás Chacón ^a   Coronil, Daniel Franco ^a   Gallego, Francisco Ortegón ^a,b   Muñoz, Isabel Sánchez ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

Finite elements; Finite volumes; Homogenization; Reynolds stress modelling; Upwinding; model

Indexed keywords

FINITE ELEMENT METHOD; FINITE VOLUME METHOD; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; TURBULENT FLOW; VISCOUS FLOW;

MATHEMATICAL HOMOGENIZATION TECHNIQUES; REYNOLDS STRESS;

COMPRESSIBLE FLOW;

EID: 0041351980     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0168-9274(97)00069-x     Document Type: Article

References (18)

1. S. Barre, C. Quine and J.P. Dussauge, Compressibility effects on the structure of supersonic mixing layers: experimental results, J. Fluid. Mech. 259 (6) (1994) 47-78.
2. C. Bègue, B. Cardot and O. Pironneau, Simulation of turbulence with transient mean, Internat. J. Numer. Methods Fluids 11 (1990) 677-695.
3. T. Chacón, Oscillations due to the transport of microstructures, SIAM J. Appl. Math. 48 (5) (1988) 1128-1146.
4. T. Chacón, D. Franco and F. Ortegón, Homogenization of incompressible flow with helical microstructures, Adv. Math. Sci. Appl. 1 (2) (1992) 251-300.
5. T. Chacón and F. Ortegön, On a Rivlin - Eriksen's theorem application to a turbulence model, European J. Mech. B Fluids 14 (5) (1995).
6. D. Franco, Ph.D. Thesis, University of Sevilla (in preparation).
7. D. Guezengar and H. Guillard, Compressibility models applied to supersonic mixing layers, in: Proceedings ETMA Meeting, UMIST, Manchester (1994).
8. C. Le Ribault, Simulation des écoulements turbulents compressibles par une méthode mixte éléments finis-volumes finis, Thèse de Doctorat, Université Lyon (1991).
9. D. McLaughlin, G. Papanicolaou and O. Pironneau, Transport of microstructures and related problems, SIAMJ . Appl. Math. 45 (5) (1985).
10. B. Mohammadi and O. Pironneau, Analysis of κ - ε Turbulence Model (Wiley-Masson, Paris, 1993).
11. C. Olivier, Simulation numérique d'écoulements visqueux compressibles laminaires et turbulents, Thèse de Doctorat, Université Nice Sophia-Antipolis (1991).
12. F. Ortegón, Modélisation des écoulements turbulents à deux échelles par méthode d'homogénéisation, Thèse de Doctorat, Université Paris VI (1989).
13. W.C. Reynolds, Physical and analytical foundations concepts, and new directions in turbulence modeling and simulation, in: Proceedings Ecole d'Eté CEA-EDF-INRIA d'Analyse Numérique et Modélisation Théorique de la Turbulence, Clamart, France (1982).
14. P. Rostand, Sur une méthode de volumes finis en maillage non structuré pour le calcul d'écoulements visqueux compressibles. Thèse de Doctorat, Université Paris VI (1989).
15. S. Sarkar, Modelling the pressure - dilatation correlation, ICASE Report 91-42 (1991).
16. J. Steger and R.F. Warming, Flux vector splitting for the inviscid gas dynamic with applications to finite difference methods, J. Comput. Phys. 40 (1981) 263-293.
17. B. Van Leer, Flux vector splitting for the Euler equations, Lecture Notes in Physics 170 (1982) 405-512.
18. O. Zeman, Dilatation dissipation: the concept and application in modelling compressible mixing layers, Phys. Fluids 2 (1990) 178-188.