Lattice boltzmann method simulation of aeroacoustics and nonreflecting boundary conditions

AIAA Journal

Volumn 45, Issue 7, 2007, Pages 1703-1712

  Kam, E W S ^a,b   So, R M C ^a,b,c   Leung, R C K ^a,b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b Department of Mechanical Engineering ^*  (Hong Kong)

^c Industrial Center   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

AEROACOUSTICS; LATTICE BOLTZMANN METHODS; SPECIFIC HEAT RATIOS;

BOLTZMANN EQUATION; BOUNDARY CONDITIONS; COMPUTER SIMULATION; NAVIER STOKES EQUATIONS; SPECIFIC HEAT; VISCOSITY;

ACOUSTICS;

EID: 34547592459     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.27632     Document Type: Article

References (35)

1. Lele, S. K., "Compact Finite Schemes with Spectral-Like Resolution," Journal of Computational Physics, Vol. 103, No. 1, 1992, pp. 16-42.
2. Gaitonde, D. V. and Visbal, M. R., "Further Development of a Navier-Stokes Solution Procedure Based on Higher-Order Formulas," AIAA Paper 99-C0557, 1999.
3. Visbal, M. R., and Gaitonde, D. V., "Very High-Order Spatially Implicit Schemes for Computational Acoustics on Curvilinear Meshes," Journal of Computational Acoustics, Vol. 9, No. 4, 2001, pp. 1259-1286.
4. Leung, R. C. K., Li, X. M., and So, R. M. C. "Comparative Study of Nonreflecting Boundary Condition for One-Step Duct Aeroacoustic Simulation," AIAA Journal, Vol. 44, No. 3, 2006, pp. 664-667.
5. Frisch, U., d'Humières, D., Hasslacher, B., Lallemand, P., Pomeau, Y., and Rivet, J.-P., and Pomeau, Y., "Lattice Gas Hydrodynamics in Two and Three Dimensions," Complex Systems, Vol. 1, No. 4, 1987, pp. 649-707.
6. Lallemand, P., and Luo, L.-S., "Theory of the Lattice Boltzmann Method: Dispersion, Dissipation, Isotropy, Galilean Invariance, and Stability," Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Vol. 61, No. 6, 2000, pp. 6546-6562.
7. Lallemand, P., and Luo, L.-S., "Theory of the Lattice Boltzmann Method: Acoustic and Thermal Properties in Two and Three Dimensions," Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Vol. 68, Sept. 2003, p. 036706.
8. Ricot, D., Maillard, V., and Bailly, C., "Numerical Simulation of Unsteady Cavity Flow Using Lattice Boltzmann Method," AIAA Paper 2002-2532, 2002.
9. Tsutahara, M., Kataoka, T., Takada, N., Kang, H.-K., and Kurita, M., "Simulations of Compressible Flows by Using the Lattice Boltzmann and the Finite Difference Lattice Boltzmann Methods," Computational Fluid Dynamics Journal, Vol. 11, No. 1, 2002, pp. 486-493.
10. Kang, H.-K., Ro, K.-D., Tsutahara, M., and Lee, Y.-H., "Numerical Prediction of Acoustic Sounds Occurring by the Flow around a Circular Cylinder," KSME International Journal, Vol. 17, No. 8, 2003, pp. 1219-1225.
11. Wilde, A., "Calculation of Sound Generation and Radiation from Instationary Flows," Computers and Fluids, Vol. 35, Nos. 8-9, 2006, pp. 986-993.
12. Mallick, S., Shock, R., and Yakhot, V., "Numerical Simulation of the Excitation of a Helmholtz Resonator by a Grazing Flow," Journal of the Acoustical Society of America, Vol. 114, No. 4, 2003, pp. 1833-1840.
13. Danforth, A. L., and Long, L. N., "Nonlinear Acoustic Simulations Using Direct Simulation Monte Carlo," Journal of the Acoustical Society of America, Vol. 116, No. 4, 2004, pp. 1948-1955.
14. Philippi, P. C., Hegele, L. A., dos Santos, L. O. E., and Surmas, R., "From the Continuous to the Lattice Boltzmann Equation: The Discretization Problem and Thermal Models," Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Vol. 73, May 2006, p. 056702.
15. Roe, P. L., "Characteristic-Based Schemes for the Euler Equations," Annual Review of Fluid Mechanics, Vol. 18, 1986, pp. 337-365.
16. Giles, M. B., "Nonreflecting Boundary Conditions for Euler Equation Calculations," AIAA Journal, Vol. 28, No. 12, 1990, pp. 2050-2058.
17. Poinsot, T. J., and Lele, S. K., "Boundary Conditions for Direct Simulations of Compressible Viscous Flows," Journal of Computational Physics, Vol. 101, No. 1, 1992, pp. 104-129.
18. Colonius, T., Lele, S. K., and Moin, P., "Boundary Conditions for Direct Computation of Aerodynamic Sound Generation," AIAA Journal, Vol. 31, No. 9, 1993, pp. 1574-1582.
19. Kim, J. W., and Lee, D. J., "Generalized Characteristic Boundary Conditions for Computational Aeroacoustics," AlAA Journal, Vol. 38, No. 11, 2000, pp. 2040-2049.
20. Engquist, B., and Majda, A., "Absorbing Boundary Conditions for the Numerical Simulation of Waves," Mathematics of Computation, Vol. 31, July 1977, pp. 629-651.
21. Ta'asan, S., and Nark, D. M., "An Absorbing Buffer Zone Technique for Acoustic Wave Propagation," AIAA Paper 95-0146, 1995.
22. Freund, J. B., "Proposed Inflow/Outflow Boundary Condition for Direct Computation of Aerodynamic Sound," AIAA Journal, Vol. 35, No. 4, 1997, pp. 740-742.
23. Hu, F. Q., "A Stable, Perfectly Matched Layer for Linearized Euler Equations in Unsplit Physical Variables," Journal of Computational Physics, Vol. 173, No. 2, 2001, pp. 455-480.
24. Loh, C. Y., "On a Non-Reflecting Boundary Condition for Hyperbolic Conservation Laws," AIAA Paper 2003-3975, 2003.
25. Loh, C. Y., and Jorgenson, P. C. E., "A Robust Absorbing Boundary Condition for Compressible Flows," AIAA Paper 2005-4716, 2005.
26. Li, X. M., Leung, R. C. K., and So, R. M. C., "One-Step Aero-Acoustics Simulation Using Lattice Boltzmann Method," AIAA Journal, Vol. 44, No. 1, 2006, pp. 78-89.
27. Li, X. M., So, R. M. C., and Leung, R. C. K., "Propagation Speed, Internal Energy and Direct Aeroacoustic Simulation Using LBM," AIAA Journal, Vol. 44, No. 12, 2006, pp. 2896-2903.
28. Bhatnagar, P., Gross, E. P., and Krook, M. K., "A Model for Collision Processes in Gases, 1. Small Amplitude Processes in Charged and Neutral One-Component Systems," Physical Review, Vol. 94, No. 3, 1954, pp. 515-525.
29. Li, X. M., "Computational Aeroacoustics Using Lattice Boltzmann Method," Ph.D. Thesis, Dept. of Mechanical Engineering, Hong Kong Polytechnic University, Hong Kong, 2006.
30. Chen, S., Martinez, D., and Mei, R., "On Boundary Conditions in Lattice Boltzmann Methods," Physics of Fluids, Vol. 8, No. 9, 1996, pp. 2527-2536.
31. Maier, R., Bernard, R. S., and Grunau, D. W., "Boundary Conditions for the Lattice Boltzmann Method," Physics of Fluids, Vol. 8, No. 7, 1996, pp. 1788-1801.
32. Guo, Z., and Zhao, T. S., "Explicit Finite-Difference Lattice Boltzmann Method for Curvilinear Coodinates," Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Vol. 67, No. 6, 2003, pp. 1-12.
33. Yu, D., Mei, R., and Shyy, W., "Improved Treatment of the Open Boundary in the Method of Lattice Boltzmann Equation: General Description of the Method," Progress in Computational Fluid Dynamics, Vol. 5, Nos. 1-2, 2005, pp. 3-12.
34. Bennett, A. F., Taylor, J. R., and Chua, B. S., "Lattice Boltzmann Open Boundaries for Hydrodynamic Models," Journal of Computational Physics, Vol. 203, No. 1, 2005, pp. 89-111.
35. Tam, C. K. W., and Webb, J. C., "Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics," Journal of Computational Physics, Vol. 107, No. 2, 1993, pp. 262-281.