Nonlinear acoustic simulations using direct simulation Monte Carlo

Journal of the Acoustical Society of America

Volumn 116, Issue 4 I, 2004, Pages 1948-1955

  Danforth, Amanda L ^a   Long, Lyle N ^b  

^a The Pennsylvania State University   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLUID DYNAMICS; MOLECULAR DYNAMICS; MONTE CARLO METHODS; OBJECT ORIENTED PROGRAMMING; SHOCK WAVES; VELOCITY MEASUREMENT; VISCOUS FLOW;

ACOUSTIC SIMULATIONS; DISCRETE SIMULATION MONTE CARLO (DSMC); KNUDSEN NUMBERS; NONLINEAR ACOUSTICS;

ACOUSTIC WAVES;

ACOUSTICS; ARTICLE; COMPUTER; DISPERSION; GAS FLOW; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MONTE CARLO METHOD; NONLINEAR SYSTEM; PRIORITY JOURNAL; SIMULATION; VELOCITY;

EID: 6344279903     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1785614     Document Type: Article

References (51)

1. M. F. Hamilton and D. T. Blackstock, Nonlinear Acoustics (Academic, San Diego, 1998).
2. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, 2nd ed (Clarendon, Oxford, 1994).
3. S. Chapman and T. G. Cowling, Mathematical Theory of Non-Uniform Gases (Cambridge U.P., Cambridge, 1939).
4. M. Greenspan, "Transmission of sound waves in gases at very low pressures," in Physical Acoustics, edited by W. P. Mason (Academic, New York, 1965), Vol. II, Pt. A, Chap. 1, pp. 1-45.
5. C. S. Wang Chang and G. E. Uhlenbeck, in Studies in Statistical Mechanics, edited by J. de Boer and G. E. Uhlenbeck (North-Holland, Amsterdam, 1970), Vol. V, pp. 43-75.
6. C. L. Pekeris, Z. Alterman, L. Finkelstein, and K. Frankowski, "Sound propagation in a gas of rigid spheres," Phys. Fluids 5, 1608-1616 (1962).
7. L. Sirovich and J. K. Thurber, "Propagation of forced sound waves in rarefied gasdynamics," J. Acoust. Soc. Am. 37, 329 (1965).
8. P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev. 94, 511-525 (1954).
9. W. Marques, "Dispersion and absorption of sound in monatomic gases: An extended kinetic description," J. Acoust. Soc. Am. 106, 3282-3288 (1999).
10. M. Greenspan, "Propagation of sound in five monoatomic gases," J. Acoust. Soc. Am. 28, 644 (1956).
11. E. Meyer and G. Sessler, Z. Phys. 149, 15-39 (1957).
12. R. Schotter, "Rarefied gas acoustics in the noble gases," Phys. Fluids 17, 1163-1168 (1974).
13. W. Aspray, John von Neumann and the Origins of Modem Computing (MIT, Cambridge, 1990).
14. L. N. Long, R. E. Coopersmith, and B. G. McLachlan; "Cellular automatons applied to gas dynamic problems," in Proceedings of the AIAA 19th Fluid Dynamics, Plasma Dynamics, and Lasers Conference, AIAA Paper No. 87-1384, Honolulu, HI (1987).
15. U. Frisch, B. Hasslacher, and Y. Pomeau, "A lattice gas automaton for the Navier-Stokes equations," Los Alamos Report No. LA-UF-85-3503, September 1985.
16. J. E. Broadwell, "Study of rarefied shear flow by the discrete velocity method," J. Fluid Mech. 19, 401-414 (1964).
17. J. E. Broadwell, "Shock structure in a simple discrete velocity flow," Phys. Fluids 7, 1243 (1964).
18. S. Chen and G. D. Doolen, "Lattice Boltzmann method for fluid flows," Annu. Rev. Fluid Mech. 30, 329 (1998).
19. R. Benzi, S. Succi, and M. Vergassola, "The lattice Boltzmann equation: theory and applications," Phys. Rep. 222, 146 (1992).
20. J. M. Buick, C. L. Buckley, C. A. Greated, and J. Gilbert, "Lattice Boltzmann BGK simulation of nonlinear sound waves: the development of a shock front," J. Phys. A 33, 3917-3928 (2000).
21. Y. Sudo and V. W. Sparrow, "A new lattice gas model for 1-D sand propagation," J. Comput. Acoust. 1, 423 (1994).
22. Y. Sudo and V. W. Sparrow, "A new lattice gas model for 1-D sound propagation," J. Comput. Acoust. 3, 69 (1995).
23. D. C. Rapaport, The Art of Molecular Dynamics Simulation (Cambridge U.P., Cambridge, 1995).
24. M. P. Allen, and D. J. Tilldesley, Computer Simulation of Liquids (Oxford U.P., New York, 1987).
25. D. Frenkel and B. Smit, Understanding Molecular Simulation: From Algorithms to Applications (Academic, San Diego, 1996).
26. T. L. Kaltz, L. N. Long, and M. M. Micci, "Supercritical vaporization of liquid oxygen droplets using Molecular Dynamics," Combust. Sci. Technol. 136, 279-301 (1998).
27. C. Nwobi, L. N. Long, and M. M. Micci, "Molecular dynamics studies of properties of supercritical fluids," J. Thermophys. Heat Transfer 12, 351-354 (1998).
28. Kantor, L. N. Long, and M. M. Micci, "Molecular Dynamics simulation of dissociation kinetics," J. Thermophys. Heat Transfer 15, (2001).
29. F. J. Alexander and A. L. Garcia, "The direct simulation Monte Carlo method," Comput. Phys. 11, 588 (1997).
30. E. S. Oran, C. K. Oh, and B. Z. Cybyk, "Direct simulation Monte Carlo: Recent advances and applications," Annu. Rev. Fluid Mech. 30, 403-440 (1998).
31. W. Wagner, "A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation," J. Stat. Phys. 66, 1011 (1992).
32. V. Shtern, Core C++ (Prentice Hall, Upper Saddle River, NJ, 2000).
33. D. Yang, C++ and Object-oriented Numeric Computing (Springer, New York, 2001).
34. P. S. Wang, Standard C++ with Object-oriented Programming (Brooks/Cole, Pacific Grove, 2001).
35. W. Gropp, E. Lusk, and A. Skjellum, Using MPI: Portable Parallel Programming with Message Passing Interface, 2nd ed. (MIT, Cambridge, 1999).
36. P. S. Pacheco, Parallel Programming with MPI (Morgan Kaufmann, San Francisco, 1997).
37. G. A. Bird, "Monte Carlo simulation of gas flows," Annu. Rev. Fluid Mech. 10, 11-31 (1978).
38. G. A. Bird, "Direct simulation of the Boltzmann equation," Phys. Fluids 13, 2676 (1970).
39. E. P. Muntz, "Rarefied gas dynamics," Annu. Rev. Fluid Mech. 21, 387-417 (1989).
40. E. Salomons and M. Mareschal, "Usefulness of the burnett description of strong shock waves," Phys. Rev. Lett. 69, 269-272 (1992).
41. D. I. Pullin, J. Davis, and J. K. Harvey, "Monte Carlo calculations of the rarefied transition flow past a bluff faced cylinder," 10th International Symposium on Rarefied Gas Dynamics, Aspen, CO (1976).
42. L. N. Long, "Navier-Stokes and Monte Carlo results for hypersonic flows," AIAA J. 29, (1991).
43. L. N. Long and J. B. Anderson, "The simulation of detonations using a Monte Carlo Method," 22rd International Symposium on Rarefied Gas Dynamics, Sydney, Australia (2000).
44. J. B. Anderson and L. N. Long, "Direct Monte Carlo simulation of chemical reaction systems: Prediction of ultra fast detonations," J. Chem. Phys. 118, 3102-3110 (2003).
45. N. G. Hadjiconstantinou and A. L. Garcia, "Molecular simulations of sound wave propagation in simple gases," Phys. Fluids 13, 1040-1046 (2001).
46. D. I. Pullin, "Direct simulation methods for compressible inviscid idea-gas flow," J. Comput. Phys. 34, 231-244 (1980).
47. A. Sharma and L. N. Long, "Numerical simulation of the blast impact problem using the direct simulation Monte Carlo (DSMC) method," to appear in J. Comput. Phys. (2004).
48. L. N. Long and K. S. Brentner, "Self-scheduling parallel methods for multiple serial codes with application to WOPWOP," in Proceedings of the 38th Aerospace Sciences and Meeting Exhibit, AIAA Paper 2000-0346, Reno, NV (2000).
49. A. D. Pierce, Acoustics, an Introduction to Its Physical Principles and Applications (McGraw-Hill, New York, 1981).
50. J. C. Tannehill, D. A. Anderson, and R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer (Taylor and Francis, Philadelphia, 1997).
51. A. L. Danforth, "Nonlinear acoustic simulations using an object-oriented, parallel direct simulation Monte Carlo method," M.S. thesis, the Pennsylvania State University, August 2004.