메뉴 건너뛰기




Volumn 9, Issue 5, 2011, Pages 1257-1283

A discrete flux scheme for aerodynamic and hydrodynamic flows

Author keywords

Aerodynamics; Hydrodynamics; Lattice Boltzmann equation

Indexed keywords


EID: 79952000893     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.311009.241110s     Document Type: Article
Times cited : (22)

References (38)
  • 1
    • 26344468007 scopus 로고
    • A model for collision processes in gases, I. small amplitude processes in charged and neutral one-component systems
    • 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(3) (1954), 511-525.
    • (1954) Phys. Rev. , vol.94 , Issue.3 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 2
    • 0027995144 scopus 로고
    • Comparison of spectral method and lattice Boltzmann simulations of two-dimensional hydrodynamics
    • D. O. Martinez, W. H. Matthaeus, S. Chen, and D. C. Montgomery, Comparison of spectral method and lattice Boltzmann simulations of two-dimensional hydrodynamics, Phys. Fluids., 6(1994), 1285-1298. (Pubitemid 280645)
    • (1994) Physics of Fluids, A , vol.6 , Issue.3 , pp. 1285-1298
    • Martinez, D.O.1    Matthaeus, W.H.2    Chen, S.3    Montgomery, D.C.4
  • 3
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • S. Chen, and G. D. Doolen, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid. Mech., 30(1998), 329-364.
    • (1998) Annu. Rev. Fluid. Mech. , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.D.2
  • 4
    • 0000331979 scopus 로고    scopus 로고
    • Lattice Boltzmann method for 3-D flows with curved boundary
    • R. Mei, W. Shyy, D. Yu, and L. S. Luo, Lattice Boltzmann method for 3-D flows with curved boundary, J. Comput. Phys., 161(2000), 680-699.
    • (2000) J. Comput. Phys. , vol.161 , pp. 680-699
    • Mei, R.1    Shyy, W.2    Yu, D.3    Luo, L.S.4
  • 5
    • 79951991291 scopus 로고    scopus 로고
    • A lattice Boltzmann based numerical scheme for microchannel flows
    • S. C. Fu, W. W. Leung, and R. M. C. So, A lattice Boltzmann based numerical scheme for microchannel flows, J. Fluids. Eng., 131(2009), 081401.
    • (2009) J. Fluids. Eng. , vol.131 , pp. 081401
    • Fu, S.C.1    Leung, W.W.2    So, R.M.C.3
  • 6
    • 0000637814 scopus 로고
    • Analysis of the lattice Boltzmann treatment of hydrodynamics
    • G. McNamara, and B. Alder, Analysis of the lattice Boltzmann treatment of hydrodynamics, Phys. A., 194(1993), 218-228.
    • (1993) Phys. A. , vol.194 , pp. 218-228
    • McNamara, G.1    Alder, B.2
  • 7
    • 0000148702 scopus 로고    scopus 로고
    • A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit
    • DOI 10.1006/jcph.1998.6057, PII S0021999198960570
    • X. He, S. Chen, and G. D. Doolen, A novel thermal model for the lattice Boltzmann method in incompressible limit, J. Comput. Phys., 146(1998), 282-300. (Pubitemid 128347125)
    • (1998) Journal of Computational Physics , vol.146 , Issue.1 , pp. 282-300
    • He, X.1    Chen, S.2    Doolen, G.D.3
  • 8
    • 31344458542 scopus 로고    scopus 로고
    • One-step aeroacoustics simulation using lattice Boltzmann method
    • DOI 10.1016/j.cam.2005.10.035
    • X. M. Li, R. C. K. Leung, and R. M. C. So, One-step aeroacoustics simulation using lattice Boltzmann method, AIAA J., 44(1) (2006), 78-89. (Pubitemid 43143914)
    • (2006) AIAA Journal , vol.44 , Issue.1 , pp. 78-89
    • Li, X.M.1    Leung, R.C.K.2    So, R.M.C.3
  • 9
    • 47849095367 scopus 로고    scopus 로고
    • Modeled Boltzmann equation and its application to direct aeroacoustics simulation
    • S. C. Fu, R. M. C. So, and R. C. K. Leung, Modeled Boltzmann equation and its application to direct aeroacoustics simulation, AIAA J., 46(7) (2008), 1651-1662.
    • (2008) AIAA J. , vol.46 , Issue.7 , pp. 1651-1662
    • Fu, S.C.1    So, R.M.C.2    Leung, R.C.K.3
  • 10
    • 73649096239 scopus 로고    scopus 로고
    • Acoustic scattering by a localized thermal disturbance
    • E. W. S. Kam, R. M. C. So, and R. C. K. Leung, Acoustic scattering by a localized thermal disturbance, AIAA J., 47(9) (2009), 2039-2052.
    • (2009) AIAA J. , vol.47 , Issue.9 , pp. 2039-2052
    • Kam, E.W.S.1    So, R.M.C.2    Leung, R.C.K.3
  • 11
    • 76949103861 scopus 로고    scopus 로고
    • Finite difference lattice Boltzmann method applied to acoustic-scattering problems
    • E. W. S. Kam, R. M. C. So, S. C. Fu, and R. C. K. Leung, Finite difference lattice Boltzmann method applied to acoustic-scattering problems, AIAA J., 48(2) (2010), 354-371.
    • (2010) AIAA J. , vol.48 , Issue.2 , pp. 354-371
    • Kam, E.W.S.1    So, R.M.C.2    Fu, S.C.3    Leung, R.C.K.4
  • 12
    • 57649087675 scopus 로고    scopus 로고
    • Modeled Boltzmann equation and its application to shock capturing simulation
    • R. M. C. So, R. C. K. Leung, and S. C. Fu, Modeled Boltzmann equation and its application to shock capturing simulation, AIAA J., 46(12) (2008), 3038-3048.
    • (2008) AIAA J. , vol.46 , Issue.12 , pp. 3038-3048
    • So, R.M.C.1    Leung, R.C.K.2    Fu, S.C.3
  • 13
    • 77952734095 scopus 로고    scopus 로고
    • Finite difference lattice Boltzmann method for compressible thermal fluids
    • R. M. C. So, S. C. Fu, and R. C. K. Leung, Finite difference lattice Boltzmann method for compressible thermal fluids, AIAA J., 48(6) (2010), 1059-1071.
    • (2010) AIAA J. , vol.48 , Issue.6 , pp. 1059-1071
    • So, R.M.C.1    Fu, S.C.2    Leung, R.C.K.3
  • 15
    • 24844466239 scopus 로고
    • Lattice Boltzmann model for simulating flows with multiple phases and components
    • X. Shan, and H. Chen, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E., 47(1993), 1815-1820.
    • (1993) Phys. Rev. E. , vol.47 , pp. 1815-1820
    • Shan, X.1    Chen, H.2
  • 16
    • 33645077774 scopus 로고
    • Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation
    • X. Shan, and H. Chen, Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation, Phys. Rev. E., 49(1994), 2941-2948.
    • (1994) Phys. Rev. E. , vol.49 , pp. 2941-2948
    • Shan, X.1    Chen, H.2
  • 17
    • 11744361965 scopus 로고
    • Lattice Boltzmann simulation of nonideal fluids
    • M. R. Swift, W. R. Osborn, and J. M. Yeomans, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett., 75(1995), 830-834.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 830-834
    • Swift, M.R.1    Osborn, W.R.2    Yeomans, J.M.3
  • 18
    • 0037087997 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of the flow of binary immiscible fluids with different viscosities using the Shan-Chen microscopic interaction model
    • J. Chin, E. S. Boek, and P. V. Coveney, Lattice Boltzmann simulation of the flow of binary immiscible fluids with different viscosities using the Shan-Chen microscopic interaction model, Phil. Trans. Royal. Soc. London. A., 360(2002), 547-558.
    • (2002) Phil. Trans. Royal. Soc. London. A. , vol.360 , pp. 547-558
    • Chin, J.1    Boek, E.S.2    Coveney, P.V.3
  • 19
    • 33645687069 scopus 로고    scopus 로고
    • Kinetic theory representation of hydrodynamics: A way beyond the Navier-Stokes equation
    • X. Shan, X. F. Yuan, and H. Chen, Kinetic theory representation of hydrodynamics: a way beyond the Navier-Stokes equation, J. Fluid. Mech., 550(2006), 413-441.
    • (2006) J. Fluid. Mech. , vol.550 , pp. 413-441
    • Shan, X.1    Yuan, X.F.2    Chen, H.3
  • 20
    • 0000691825 scopus 로고
    • On flows induced by diffusion in a stably stratified fluid
    • O. M. Phillips, On flows induced by diffusion in a stably stratified fluid, Deep. Sea. Res., 17(1970), 435-443.
    • (1970) Deep. Sea. Res. , vol.17 , pp. 435-443
    • Phillips, O.M.1
  • 21
    • 0016650325 scopus 로고
    • Double-diffusive convection in an inclined slot
    • C. F. Chen, Double-diffusive convection in an inclined slot, J. Fluid. Mech., 72(1975), 721-729.
    • (1975) J. Fluid. Mech. , vol.72 , pp. 721-729
    • Chen, C.F.1
  • 22
    • 0023404088 scopus 로고
    • The formation of a layered structure when a stable salinity gradient is heated from below
    • H. J. S. Fernando, The formation of a layered structure when a stable salinity gradient is heated from below, J. Fluid. Mech., 182(1987), 525-541.
    • (1987) J. Fluid. Mech. , vol.182 , pp. 525-541
    • Fernando, H.J.S.1
  • 23
    • 0031206171 scopus 로고    scopus 로고
    • Lattice Boltzmann model for the incompressible Navier-Stokes equation
    • X. He, and L. S. Luo, Lattice Boltzmann model for the incompressible Navier-Stokes equation, J. Stat. Phys., 88(1997), 927-944.
    • (1997) J. Stat. Phys. , vol.88 , pp. 927-944
    • He, X.1    Luo, L.S.2
  • 24
    • 0021599284 scopus 로고    scopus 로고
    • 2nd ed., Chapter 10, Wiley-Interscience, New York
    • R. L. Panton, Incompressible Flow, 2nd ed., Chapter 10, Wiley-Interscience, New York, 1996.
    • (1996) Incompressible Flow
    • Panton, R.L.1
  • 25
    • 73549105454 scopus 로고    scopus 로고
    • Modeled lattice Boltzmann equation and the constant density assumption
    • S. C. Fu, and R. M. C. So, Modeled lattice Boltzmann equation and the constant density assumption, AIAA J., 47(12) (2009), 3038-3042.
    • (2009) AIAA J. , vol.47 , Issue.12 , pp. 3038-3042
    • Fu, S.C.1    So, R.M.C.2
  • 27
    • 36949032542 scopus 로고    scopus 로고
    • Coupled double-distribution-function lattice Boltzmann method for the compressible Navier-Stokes equations
    • Q. Li, Y. L. He, Y. Wang, and W. Q. Tao, Coupled double-distribution- function lattice Boltzmann method for the compressible Navier-Stokes equations, Phys. Rev. E., 76(2007), 056705.
    • (2007) Phys. Rev. E. , vol.76 , pp. 056705
    • Li, Q.1    He, Y.L.2    Wang, Y.3    Tao, W.Q.4
  • 28
    • 79951974886 scopus 로고    scopus 로고
    • PhD Thesis, Mechanical Engineering Department, Hong Kong Polytechnic University, Hong Kong
    • S. C. Fu, Numerical simulation of blood flow in stenotic arteries, PhD Thesis, Mechanical Engineering Department, Hong Kong Polytechnic University, Hong Kong, 2011.
    • (2011) Numerical Simulation of Blood Flow in Stenotic Arteries
    • Fu, S.C.1
  • 30
    • 14544293952 scopus 로고    scopus 로고
    • Immersed boundary methods
    • DOI 10.1146/annurev.fluid.37.061903.175743
    • R. Mittal, and G. Iaccarino, Immersed boundary methods, Annu. Rev. Fluid. Mech., 37(2005), 239-261. (Pubitemid 40301258)
    • (2005) Annual Review of Fluid Mechanics , vol.37 , pp. 239-261
    • Mittal, R.1    Iaccarino, G.2
  • 31
    • 33044504607 scopus 로고
    • A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
    • S. V. Patankar, and D. B. Spalding, A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, Int. J. Heat. Mass. Trans., 15(1972), 1787-1806.
    • (1972) Int. J. Heat. Mass. Trans. , vol.15 , pp. 1787-1806
    • Patankar, S.V.1    Spalding, D.B.2
  • 35
    • 34548152058 scopus 로고    scopus 로고
    • The structure of shock waves as a test of Brenner's modifications to the Navier-Stokes equations
    • DOI 10.1017/S0022112007005575, PII S0022112007005575
    • C. J. Greenshields, and J. M. Reese, The structure of shock waves as a test of Brenner's modifications to the Navier-Stokes equations, J. Fluid. Mech., 580(2007), 407-429. (Pubitemid 47307549)
    • (2007) Journal of Fluid Mechanics , vol.580 , pp. 407-429
    • Greenshields, C.J.1    Reese, J.M.2
  • 36
    • 0017299920 scopus 로고
    • Density profiles in Argon and Nitrogen shock waves measured by the absorption of an electron beam
    • H. Alsmeyer, Density profiles in Argon and Nitrogen shock waves measured by the absorption of an electron beam, J. Fluid. Mech., 74(1976), 497-513.
    • (1976) J. Fluid. Mech. , vol.74 , pp. 497-513
    • Alsmeyer, H.1
  • 37
    • 0025469299 scopus 로고
    • Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients
    • J. W. Lee, and J. M. Hyun, Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients, Int. J. Heat. Mass. Trans., 33(8) (1990), 1619-1632.
    • (1990) Int. J. Heat. Mass. Trans. , vol.33 , Issue.8 , pp. 1619-1632
    • Lee, J.W.1    Hyun, J.M.2
  • 38
    • 0018432546 scopus 로고
    • NOTE ON GILL'S SOLUTION FOR FREE CONVECTION IN A VERTICAL ENCLOSURE.
    • A. Bejan, A note on Gill's solution for free convection in a vertical enclosure, J. Fluid. Mech., 90(1979), 561-568. (Pubitemid 9422239)
    • (1979) J Fluid Mech , vol.90 , Issue.PART 3 , pp. 561-568
    • Bejan Adrian1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.