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Volumn 46, Issue 7, 2008, Pages 1651-1662

Modeled Boltzmann equation and its application to direct aeroacoustics simulation

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ATOMIC PHYSICS; BENCHMARKING; COMPUTER SIMULATION; DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); DIRECT NUMERICAL SIMULATION; DISTRIBUTION FUNCTIONS; DYNAMICS; EQUATIONS OF STATE; EULER EQUATIONS; FLUID DYNAMICS; FLUID MECHANICS; NORMAL DISTRIBUTION; PARTIAL DIFFERENTIAL EQUATIONS; TURBULENT FLOW;

EID: 47849095367     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.33250     Document Type: Article
Times cited : (12)

References (39)
  • 1
    • 0029380030 scopus 로고
    • Computational Aeroacoustics: Issues and Methods
    • Tam, C. K. W., "Computational Aeroacoustics: Issues and Methods," AIAA Journal, Vol. 33, No. 10, 1995, pp. 1788-1796.
    • (1995) AIAA Journal , vol.33 , Issue.10 , pp. 1788-1796
    • Tam, C.K.W.1
  • 2
    • 9144220381 scopus 로고
    • Compact Finite Schemes with Spectral-Like Resolution
    • doi:10.1016/0021-9991(92)90324-R
    • Lele, S. K., "Compact Finite Schemes with Spectral-Like Resolution," Journal of Computational Physics, Vol. 103, No. 1, 1992, pp. 16-42. doi:10.1016/0021-9991(92)90324-R
    • (1992) Journal of Computational Physics , vol.103 , Issue.1 , pp. 16-42
    • Lele, S.K.1
  • 3
    • 19644369292 scopus 로고
    • Dispersion-Relation-Preserving Finite Difference Schemes for Computational Aeroacoustics
    • doi:10.1006/jcph.1993.1142
    • Tam, C. K. W., and Webb, J. C, "Dispersion-Relation-Preserving Finite Difference Schemes for Computational Aeroacoustics," Journal of Computational Physics, Vol. 107, No. 2, 1993, pp. 262-281. doi:10.1006/jcph.1993.1142
    • (1993) Journal of Computational Physics , vol.107 , Issue.2 , pp. 262-281
    • Tam, C.K.W.1    Webb, J.C.2
  • 4
    • 0032595422 scopus 로고    scopus 로고
    • High-Order-Accurate Methods for Complex Unsteady Subsonic Flows
    • Visbal, M. R., and Gaitonde, D. V., "High-Order-Accurate Methods for Complex Unsteady Subsonic Flows," AIAA Journal, Vol. 37, No. 10, 1999, pp. 1231-1239.
    • (1999) AIAA Journal , vol.37 , Issue.10 , pp. 1231-1239
    • Visbal, M.R.1    Gaitonde, D.V.2
  • 5
    • 9944264070 scopus 로고    scopus 로고
    • Computational Aeroacoustics: Progress on Nonlinear Problems of Sound Generation
    • doi:10.1016/j. paerosci.2004.09.001
    • Colonius, T., and Lele, S. K., "Computational Aeroacoustics: Progress on Nonlinear Problems of Sound Generation," Progress in Aerospace Sciences, Vol. 40, No. 6, 2004, pp. 345-416. doi:10.1016/j. paerosci.2004.09.001
    • (2004) Progress in Aerospace Sciences , vol.40 , Issue.6 , pp. 345-416
    • Colonius, T.1    Lele, S.K.2
  • 6
    • 25344468527 scopus 로고
    • Recovery of the Navier-Stokes Equations Using a Lattice-Gas Boltzmann Method
    • doi:10.1103/PhysRevA.45. R5339
    • Chen, H., Chen, S., and Matthaeus, W. H., "Recovery of the Navier-Stokes Equations Using a Lattice-Gas Boltzmann Method," Physical Review A, Vol. 45, No. 8, 1992, pp. R5339-R5342. doi:10.1103/PhysRevA.45. R5339
    • (1992) Physical Review A , vol.45 , Issue.8
    • Chen, H.1    Chen, S.2    Matthaeus, W.H.3
  • 7
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann Method for Fluid Flows
    • Jan, doi:10.1146/annurev.fluid.30.1.329
    • Chen, S., and Doolen, G. D., "Lattice Boltzmann Method for Fluid Flows," Annual Review of Fluid Mechanics, Vol. 30, Jan. 1998,pp. 329-364. doi:10.1146/annurev.fluid.30.1.329
    • (1998) Annual Review of Fluid Mechanics , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.D.2
  • 9
    • 26344468007 scopus 로고
    • Model for Collision Processes in Gases, 1: Small Amplitude Processes in Charged and Neutral One-Component Systems
    • doi:10.1103/PhysRev.94.511
    • Bhatnagar, P. L., Gross, E. P., and Krook, M., "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. 511-525. doi:10.1103/PhysRev.94.511
    • (1954) Physical Review , vol.94 , Issue.3 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 10
    • 0032142622 scopus 로고    scopus 로고
    • Lattice BGK Simulation of Sound Waves
    • doi:10.1209/epl/i1998-00346-7
    • Buick, J. M., Greated, C. A., and Campbell, D. M., "Lattice BGK Simulation of Sound Waves," Europhysics Letters, Vol. 43, No. 3, 1998, pp. 235-240. doi:10.1209/epl/i1998-00346-7
    • (1998) Europhysics Letters , vol.43 , Issue.3 , pp. 235-240
    • Buick, J.M.1    Greated, C.A.2    Campbell, D.M.3
  • 12
    • 0034595452 scopus 로고    scopus 로고
    • Lattice Boltzmann BGK Simulation of Nonlinear Sound Waves: The Development of a Shock Front
    • doi:10.1088/0305-4470/33/21/305
    • Buick, J. M., Buckley, C. L., Greated, C. A., and Gilbert, J., "Lattice Boltzmann BGK Simulation of Nonlinear Sound Waves: The Development of a Shock Front," Journal of Physics A: Mathematical and General, Vol. 33, No. 21, 2000, pp. 3917-3928. doi:10.1088/0305-4470/33/21/305
    • (2000) Journal of Physics A: Mathematical and General , vol.33 , Issue.21 , pp. 3917-3928
    • Buick, J.M.1    Buckley, C.L.2    Greated, C.A.3    Gilbert, J.4
  • 13
    • 31344450814 scopus 로고    scopus 로고
    • Simulations of Compressible Flows by Using the Lattice Boltzmann and the Finite Difference Lattice Boltzmann Methods
    • 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.
    • (2002) Computational Fluid Dynamics Journal , vol.11 , Issue.1 , pp. 486-493
    • Tsutahara, M.1    Kataoka, T.2    Takada, N.3    Kang, H.K.4    Kurita, M.5
  • 14
    • 31344458542 scopus 로고    scopus 로고
    • One-Step Aeroacoustics Simulation Using Lattice Boltzmann Method
    • doi:10.2514/1.15993
    • Li, X. M., Leung, R. C. K., and So, R. M. C, "One-Step Aeroacoustics Simulation Using Lattice Boltzmann Method," AIAA Journal, Vol. 44, No. 1, 2006, pp. 78-89. doi:10.2514/1.15993
    • (2006) AIAA Journal , vol.44 , Issue.1 , pp. 78-89
    • Li, X.M.1    Leung, R.C.K.2    So, R.M.C.3
  • 15
    • 33846088326 scopus 로고    scopus 로고
    • Propagation Speed, Internal Energy and Direct Aeroacoustics Simulation Using Lattice Boltzmann Method
    • doi:10.2514/1.18933
    • Li, X. M., So, R. M. C., and Leung, R. C. K., "Propagation Speed, Internal Energy and Direct Aeroacoustics Simulation Using Lattice Boltzmann Method," AIAA Journal, Vol. 44, No. 12, 2006, pp. 2896-2903. doi:10.2514/1.18933
    • (2006) AIAA Journal , vol.44 , Issue.12 , pp. 2896-2903
    • Li, X.M.1    So, R.M.C.2    Leung, R.C.K.3
  • 16
    • 34547592459 scopus 로고    scopus 로고
    • Lattice Boltzmann Method Simulation of Aeroacoustics and Nonreflecting Boundary Conditions
    • doi:10.2514/1.27632
    • Kam, E. W. S., So, R. M. C., and Leung, R. C. K., "Lattice Boltzmann Method Simulation of Aeroacoustics and Nonreflecting Boundary Conditions," AIAA Journal, Vol. 45, No. 7, 2007, pp. 1703-1712. doi:10.2514/1.27632
    • (2007) AIAA Journal , vol.45 , Issue.7 , pp. 1703-1712
    • Kam, E.W.S.1    So, R.M.C.2    Leung, R.C.K.3
  • 18
    • 9944241157 scopus 로고    scopus 로고
    • Direct Numerical Simulations of Compressible Turbulent Flows: Fundamentals and Applications
    • edited by A. Hanifi, P. H. Alfredsson, A. V. Johansson, and D. S. Hennigson, Kluwer Academic, London, Chap 7, pp
    • Lele, S. K., "Direct Numerical Simulations of Compressible Turbulent Flows: Fundamentals and Applications," Transition, Turbulence and Combustion Modeling, edited by A. Hanifi, P. H. Alfredsson, A. V. Johansson, and D. S. Hennigson, Kluwer Academic, London, 1998, Chap 7, pp. 424-429.
    • (1998) Transition, Turbulence and Combustion Modeling , pp. 424-429
    • Lele, S.K.1
  • 21
    • 0005344185 scopus 로고
    • Kinetic Model for Gases with Internal Degrees of Freedom
    • doi:10.1063/1.1711128
    • Morse, T. F., "Kinetic Model for Gases with Internal Degrees of Freedom," Physics of Fluids, Vol. 7, No. 2, 1964, pp. 159-169. doi:10.1063/1.1711128
    • (1964) Physics of Fluids , vol.7 , Issue.2 , pp. 159-169
    • Morse, T.F.1
  • 22
    • 36849110965 scopus 로고
    • New Statistical Models for Kinetic Theory: Methods of Construction
    • doi:10.1063/1.1761920
    • Holway, L. H., "New Statistical Models for Kinetic Theory: Methods of Construction," Physics of Fluids, Vol. 9, No. 9, 1966, pp. 1658-1673. doi:10.1063/1.1761920
    • (1966) Physics of Fluids , vol.9 , Issue.9 , pp. 1658-1673
    • Holway, L.H.1
  • 23
    • 28144457666 scopus 로고
    • Numerical Hydrodynamics from Gas-Kinetic Theory
    • doi:10.1006/jcph.1993.1198
    • Prendergast, K. H., and Xu, K., "Numerical Hydrodynamics from Gas-Kinetic Theory," Journal of Computational Physics, Vol. 109, No. 1, 1993, pp. 53-66. doi:10.1006/jcph.1993.1198
    • (1993) Journal of Computational Physics , vol.109 , Issue.1 , pp. 53-66
    • Prendergast, K.H.1    Xu, K.2
  • 24
    • 0003159177 scopus 로고
    • Numerical Navier - Stokes Solution from Gas-Kinetic Theory
    • doi:10.1006/jcph.1994.1145
    • Xu, K., and Prendergast, K. H., "Numerical Navier - Stokes Solution from Gas-Kinetic Theory," Journal of Computational Physics, Vol. 114, No. 1, 1994, pp. 9-17. doi:10.1006/jcph.1994.1145
    • (1994) Journal of Computational Physics , vol.114 , Issue.1 , pp. 9-17
    • Xu, K.1    Prendergast, K.H.2
  • 25
    • 0001445852 scopus 로고    scopus 로고
    • Gas-Kinetic BGK Scheme for the Navier - Stokes Equations and its Connection with Artificial Dissipation and Godunov Method
    • doi:10.1006/jcph.2001.6790
    • Xu, K., "Gas-Kinetic BGK Scheme for the Navier - Stokes Equations and its Connection with Artificial Dissipation and Godunov Method," Journal of Computational Physics, Vol. 171, No. 1,2001, pp. 289-335. doi:10.1006/jcph.2001.6790
    • (2001) Journal of Computational Physics , vol.171 , Issue.1 , pp. 289-335
    • Xu, K.1
  • 26
    • 0029689748 scopus 로고    scopus 로고
    • Stability Analysis of Lattice Boltzmann Methods
    • doi:10.1006/jcph.1996.0016
    • Sterling, J. D., and Chen, S., "Stability Analysis of Lattice Boltzmann Methods," Journal of Computational Physics, Vol. 123, No. 1, 1996, pp. 196-206. doi:10.1006/jcph.1996.0016
    • (1996) Journal of Computational Physics , vol.123 , Issue.1 , pp. 196-206
    • Sterling, J.D.1    Chen, S.2
  • 27
    • 0023383518 scopus 로고
    • Computational Aspects of the Choice of Operator and Sampling Interval for Numerical Differentiation in Large-Scale Simulation of Wave Phenomena
    • doi:10.1111/j.1365-2478.1987.tb00841.x
    • Holberg, O., "Computational Aspects of the Choice of Operator and Sampling Interval for Numerical Differentiation in Large-Scale Simulation of Wave Phenomena," Geophysical Prospecting, Vol. 35, No. 6, 1987, pp. 629-655. doi:10.1111/j.1365-2478.1987.tb00841.x
    • (1987) Geophysical Prospecting , vol.35 , Issue.6 , pp. 629-655
    • Holberg, O.1
  • 29
    • 1842845192 scopus 로고    scopus 로고
    • Finite-Difference-Based Lattice Boltzmann Method for Inviscid Compressible Flows
    • doi:10.1080/104077901300233578
    • Shi, W., Shyy, W., and Mei, R., "Finite-Difference-Based Lattice Boltzmann Method for Inviscid Compressible Flows," Numerical Heat Transfer, PartB: Fundamentals, Vol. 40, No. 1, 2001, pp. 1-21. doi:10.1080/104077901300233578
    • (2001) Numerical Heat Transfer, PartB: Fundamentals , vol.40 , Issue.1 , pp. 1-21
    • Shi, W.1    Shyy, W.2    Mei, R.3
  • 31
    • 34547582015 scopus 로고    scopus 로고
    • Computational Aeroacoustics Using Lattice Boltzmann Model,
    • Ph.D. Thesis, Mechanical Engineering Dept, Hong Kong Polytechnic Univ, Hong Kong
    • Li, X. M., "Computational Aeroacoustics Using Lattice Boltzmann Model," Ph.D. Thesis, Mechanical Engineering Dept, Hong Kong Polytechnic Univ., Hong Kong, 2006.
    • (2006)
    • Li, X.M.1
  • 32
    • 0002945795 scopus 로고    scopus 로고
    • Discretization of the Velocity Space in the Solution of the Boltzmann Equation
    • doi:10.1103/PhysRevLett.80.65
    • Shan, X., and He, X., "Discretization of the Velocity Space in the Solution of the Boltzmann Equation," Physical Review Letters, Vol. 80, No. 1, 1998, pp. 65-68. doi:10.1103/PhysRevLett.80.65
    • (1998) Physical Review Letters , vol.80 , Issue.1 , pp. 65-68
    • Shan, X.1    He, X.2
  • 36
    • 0000854542 scopus 로고    scopus 로고
    • On the Finite Difference-Based Lattice Boltzmann Method in Curvilinear Coordinates
    • doi:10.1006/jcph.1998.5984
    • Mei, R., and Shyy, W., "On the Finite Difference-Based Lattice Boltzmann Method in Curvilinear Coordinates," Journal of Computational Physics, Vol. 143, No. 2, 1998, pp. 426-448. doi:10.1006/jcph.1998.5984
    • (1998) Journal of Computational Physics , vol.143 , Issue.2 , pp. 426-448
    • Mei, R.1    Shyy, W.2
  • 37
    • 47849090654 scopus 로고    scopus 로고
    • d'Humieres, D., Generalized Lattice-Boltzmann Equations, Rarefied Gas Dynamics: Experimental Techniques and Physical Systems, edited by B. D. Shizgal, and D. P. Weaver, 159, Progress in Astronautics and Aeronautics, AIAA, Washington, D.C., 1992, pp. 450-458.
    • d'Humieres, D., "Generalized Lattice-Boltzmann Equations," Rarefied Gas Dynamics: Experimental Techniques and Physical Systems, edited by B. D. Shizgal, and D. P. Weaver, Vol. 159, Progress in Astronautics and Aeronautics, AIAA, Washington, D.C., 1992, pp. 450-458.
  • 39
    • 0035565180 scopus 로고    scopus 로고
    • Very High-Order Spatially Implicit Schemes for Computational Acoustics on Curvilinear Meshes
    • 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.
    • (2001) Journal of Computational Acoustics , vol.9 , Issue.4 , pp. 1259-1286
    • Visbal, M.R.1    Gaitonde, D.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.