Two-Dimensional PDF/SPH Simulations of Compressible Turbulent Flows

Journal of Computational Physics

Volumn 139, Issue 2, 1998, Pages 410-443

  Welton, Walter C ^a  

^a Cornell University   (United States)

Author keywords

Compressible flow; Monte Carlo methods; PDF methods; Smoothed particle hydrodynamics; Turbulent flow

Indexed keywords

COMPUTATIONAL EFFICIENCY; FOURIER SERIES; HYDRODYNAMICS; REYNOLDS NUMBER; VORTEX FLOW; WAKES;

COMPUTATIONAL WORK; FOURIER-SERIES EXPANSION; MEAN PRESSURES; MONTECARLO METHODS; PARTICLE METHODS; PDF METHODS; RECENT PROGRESS; SMOOTHED PARTICLE HYDRODYNAMICS; SPH SIMULATION; TWO-DIMENSIONAL;

MONTE CARLO METHODS;

EID: 0001013953     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5878     Document Type: Article

References (28)

1. Pope S. B. Computations of turbulent combustion: Progress and challenges. 23rd International Symposium on Combustion. 1990;591.
2. Pope S. B. PDF methods for turbulent reactive flows. Prog. Energy Combust. Sci. 11:1985;119.
3. Pope S. B. Lagrangian PDF methods for turbulent flows. Annu. Rev. Fluid Mech. 26:1994;23.
4. B. J. Delarue, S. B. Pope, Application of PDF methods to compressible turbulent flows, submitted to, Phys. Fluids.
5. Delarue B. J., Pope S. B. Stochastic model for compressible turbulence. Bull. Am. Phys. Soc. 39:1994;1860.
6. Hsu A. T., Tsai Y.-L. P., Raju M. S. Probability density function approach for compressible turbulent reacting flows. AIAA J. 7:1994;1407.
7. M. S. Anand, S. B. Pope, H. C. Mongia, PDF calculations for swirling flows, AIAA Paper 93-0106.
8. Anand M. S., Pope S. B., Mongia H. C. Pressure algorithm for elliptic flow calculations with the PDF method. CFD Symposium on Aeropropulsion. 1990.
9. Pope S. B. Position, Velocity and Pressure Correction Algorithm for Particle Method Solution of the PDF Transport Equations. 1995.
10. Welton W. C., Pope S. B. PDF model calculations of compressible turbulent flows using smoothed particle hydrodynamics. J. Comput. Phys. 134:1997;150.
11. Monaghan J. J. Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30:1992;543.
12. Haworth D. C., El Tahry S. H. Probability density function approach for multidimensional turbulent flow calculations with application to in-cylinder flows in reciprocating engines. AIAA J. 29:1991;208.
13. Correa S. M., Pope S. B. Comparison of a Monte Carlo PDF/finite-volume mean flow model with bluff-body Raman data. 24th International Symposium on Combustion. 1992;279.
14. Chang G. C. A Monte Carlo PDF/All-Speed Finite-Volume Study of Turbulent Flames. 1995.
15. Barnes L., Hut P. A hierarchialONN. Nature. 324:1986;446.
16. Hernquist L., Katz N. TREESPH: A unification of SPH with the hierarchial tree method. Astrophys. J. Suppl. Ser. 70:1989;419.
17. Haworth D. C., Pope S. B. A pdf modeling study of self-similar turbulent free shear flows. Phys. Fluids. 30:1987;1026.
18. Anand M. S., Pope S. B. Diffusion behind a line source in grid turbulence. Turbulent Shear Flows. 4:1985;46.
19. Monaghan J. J. Why particle methods work. SIAM J. Sci. Stat. Comput. 3:1982;422.
20. Schüssler M., Schmitt D. Comments on smoothed particle hydrodynamics. Astron. Astrophys. 97:1981;373.
21. Pope S. B. Particle method for turbulent flows: Integration of stochastic model equations. J. Comput. Phys. 117:1995;332.
22. Hirsch C. Numerical Computation of Internal and External Flows. 2:1990.
23. Jameson A. Steady-state solution of the Euler equations for transonic flow. Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing. 1982;37.
24. Mil'shtein G. N. A method of second-order accuracy integration of stochastic differential equations. Theory Probab. Appl. 23:1978;396.
25. Wygnanski I., Champagne F., Marasli B. On the large-scale structures in two-dimensional, small-deficit, turbulent wakes. J. Fluid Mech. 168:1986;31.
26. Townsend A. A. The fully developed turbulent wake of a circular cylinder. Aust. J. Sci. Res. Ser. A. 2:1949;451.
27. Xu J., Pope S. B. Sources of Bias in Particle-Mesh Methods for PDF Models for Turbulent Flows. 1997.
28. Pope S. B. PDF/Monte Carlo methods for turbulent combustion and their implementation on parallel computers. Turbulence and Molecular Processes in Combustion. 1993.