From Numerical Analysis to implicit Subgrid Turbulence Modeling

16th AIAA Computational Fluid Dynamics Conference

Volumn , Issue , 2003, Pages

  Rider, William J ^a   Margolin, Len ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL TURBULENCE MODEL; MODIFIED EQUATION; NEW THEORY; NON-LINEAR STABILITIES; NONOSCILLATORY; NUMERICAL APPROXIMATIONS; SCALE PROPERTIES; WEAK SOLUTION;

COMPUTATIONAL FLUID DYNAMICS; NUMERICAL METHODS; TURBULENCE;

NUMERICAL ANALYSIS;

EID: 84897721719     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (35)

1. Margolin, L. G. and Rider, W. J., A Rationale for Implicit Turbulence Modeling, International Journal for Numer ical Methods in Fluids, Vol. 39, No. 9, 2002, pp. 821-841.
2. Hirt, C. W., Heuristic Stability Theory for Finite Difference Equations Journal of Computational Physics, Vol. 2 196, pp. 339-355.
3. Warming, R. F. and Hyett, B. J., The modified equation approach to the stability and accuracy analysis of finite-difference methods, Journal of Computational Physics Vol. 14, 1974, pp. 159-19.
4. Griffiths, D. F. and Sanz-Serna, J. M., On the scope of the method of modified equations SI AM Journal on Scientific and Statistical Computing, Vol. 7, 1986, pp. 994-1008.
5. Knoll, D. A., Chacon, L., Margolin, L. G., and Mousseau, V. M., Nonlinearly Consistent Approximations for Multiple Time Scale Systems, Journal of Computational Physics Vol. 186, 2003, LA-UR-02-0927.
6. Margolin, L., Smolarkiewicz, P., and Wyszogrodzki, A. Implicit turbulence modeling for high Reynolds number flows, ASME Journal of Fluids Engineering, Vol. 124, 2002, pp. 862-867
7. Smolarkiewicz, P. K. and Margolin, L. G., MPDATA: A finite-difference solver for geophysical flows, Journal of Computational Physics, Vol. 140, 1998, pp. 459-480.
8. Lax, P. D., Weak Solutions of Nonlinear Hyperbolic Equations and their Numerical Computation, Communications on Pure and Applied Mathematics, Vol. 7, 1954, pp. 159-193.
9. Lax, P. D., Shock Waves and Entropy, Contributions to Nonlinear Functional Analysis, edited by E. H. Zarantonello, Academic Press, 1971, pp. 603-634.
10. Lax, P. D., Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, SIAM, 1972.
11. Jones, D., Margolin, L. G., and Poje, A., Accuracy and nonoscillatory properties of enslaved difference schemes, Jour nal of Computational Physics, Vol. 11, No. 2, 2002, pp. 8.
12. Leveque, R. J. Numerical Methods for Conservation Laws Birkhauser, 1990.
13. Frisch, U., Turbulence: The Legacy of A. N. Kolmogorov, Cambridge, 1995.
14. Pope B., Turbulent Flows, Cambridge University Press 2000.
15. Meneveau, C. and Katz J., Scale-Invarit and and Turb-lence Models for Large-Eddy Simulation, Annual Reviews in Fluid Mechanics, Vol. 32, 2000, pp. 1-32.
16. Hughes, T. J. R., Mazzei, L., and Jansen, E., Scale-Invariand and Turblence Models for Large-Eddy Simulation, Computing and Visualization in Science, Vol. 3, 2000, pp. 4 59
17. Dolmaradzki, J., Z. Xaio, and Smolarkiewicz, P., Effective eddy viscosity in implicit models of high Reynolds number flows, Bulletin of the American Physical Society, Vol 47, 2002, pp. 60.
18. Boris, J. P., Comments, Whither Turbulence? Turbuence at the Crossroads, edited by J. L. Lumley, 1989.
19. Oran, E. S. and Boris, J. P., Numerical Simulation of Reactive Flow, Elsiever, 2001.
20. VonNeumann, J. and Richtmyer, R. D., A Method for the Numerical Calculation of Hydrodynamic Shocks, Journal of Applied Physics, Vol. 21, 1950, pp. 232-237.
21. Smagorinsky, J., General circulation experiments with the primitive equations. I. The basic experiment Monthly Weather Review, Vol. 101, 1963, pp. 99-164.
22. Smagorinsky, J., The Beginnings of Numerical Weather Prediction and General Circulation Modeling: Early Recollections, Advances in Geophysics, Vol. 25, 1983, pp. 3-37.
23. Ghosal,An analysis of numerical errors in large-eddy simulations of turbulence, Journal of Computational Physics Vol. 125, 1996, pp. 187-206.
24. Laney, C, Computational Gasdynamics, Cambridge, 1998
25. Leveque, R. J., Finite Volume Methods for Hyperbolic Problems, Cambridge, 2002.
26. Boure, V. and Orszag, S. A., Local energy flux and subgrid-scale statistics in three-dimensional turbulence Jour nal of Fluid Mechanics, Vol. 366, 1997, pp. 1-31.
27. Germano, M., Piomelli, U., Moin, P., and Cabot, W. H. A Dynamic Subgrid-Scale Eddy Viscosity Model Physics of Fluids, Vol. 3, 1991, pp. 1760-1766.
28. van Leer, B., Towards the Ultimate Conservative Difference Scheme. IV. A New Approach to Numerical Convection, Journal of Computational Physics, Vol. 23, 1977, pp. 26-299.
29. van Leer, B., Flux-Vector Splitting for the Euler Equations Lecture Notes in Physics, Vol. 10, 1981, pp. 57-512.
30. Harten, A., Engquist, B., Osher, S., and Chakravarthy K., Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III, Journal of Computational Physics, Vol 1, 1987 pp. 231-303.
31. Harten, A. and Osher, S, Uniformly High-Order Accurate Nonoscillatory Schemes. I, SIAM Journal on Numerical Analysis, Vol. 24, 1987, pp. 279-309.
32. Huynh, H. T., Accurate Upwind Methods for the Euler Equations SIAM Journal on Numerical Analysis, Vol. 32 1995, pp. 1565-1619.
33. Liu, X.-D., Osher, S., and Chan, T., Weighted Essentially Non-Oscillatory Schemes, Journal of Computational Physics Vol. 115, 1994, pp. 200-212.
34. Jiang, G. and Shu, C.-W., Efficient Implementation of Weighted ENO Schemes, Journal of Computational Physics Vol. 126, 1996, pp. 202-228
35. Margolin, L. G., Smolarkiewicz, P. K., and Sorbjan, Z. Large eddy simulations of convective boundary layers using nonoscillatory differencing Physica D, Vol. 133 199 pp. 390-39