메뉴 건너뛰기




Volumn 369, Issue 1944, 2011, Pages 2292-2300

Thermodynamic consistency in deriving lattice Boltzmann models for describing segregation in non-ideal mixtures

Author keywords

Immiscible fluids; Interfaces; Lattice Boltzmann equation; Miscible fluids; Non ideal mixtures; Segregation

Indexed keywords

DISCRETIZATIONS; FIRST MOMENTS; GALILEAN INVARIANCE; IMMISCIBLE FLUIDS; KINETIC MODELS; LATTICE BOLTZMANN EQUATION; LATTICE BOLTZMANN EQUATIONS; LATTICE BOLTZMANN MODELS; MISCIBLE FLUID; NON-IDEAL MIXTURES; NON-ISOTHERMAL CONDITION; THERMODYNAMIC CONSISTENCY;

EID: 79958819783     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2011.0021     Document Type: Conference Paper
Times cited : (8)

References (21)
  • 1
    • 4243307948 scopus 로고
    • Lattice Boltzmann model of immiscible fluids
    • (doi:10.1103/PhysRevA.43.4320)
    • Gunstensen, A. K., Rothman, D. H., Zaleski, S. & Zanetti, G. 1991 Lattice Boltzmann model of immiscible fluids. Phys. Rev. A 43, 4320-4327. (doi:10.1103/PhysRevA.43.4320)
    • (1991) Phys. Rev. A , vol.43 , pp. 4320-4327
    • Gunstensen, A.K.1    Rothman, D.H.2    Zaleski, S.3    Zanetti, G.4
  • 2
    • 84956109147 scopus 로고
    • Microscopic modeling of immiscible fluids in three dimensions by a lattice Boltzmann method
    • (doi:10.1209/0295-5075/18/2/012)
    • Gunstensen, A. K. & Rothman, D. H. 1992 Microscopic modeling of immiscible fluids in three dimensions by a lattice Boltzmann method. Europhys. Lett. 18, 157-161. (doi:10.1209/0295-5075/18/2/012)
    • (1992) Europhys. Lett. , vol.18 , pp. 157-161
    • Gunstensen, A.K.1    Rothman, D.H.2
  • 3
    • 24844466239 scopus 로고
    • Lattice Boltzmann model for simulating flows with multiple phases and components
    • (doi:10.1103/PhysRevE.47.1815)
    • Shan, X. & Chen, H. 1993 Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47, 1815-1819. (doi:10.1103/PhysRevE.47.1815)
    • (1993) Phys. Rev. E , vol.47 , pp. 1815-1819
    • Shan, X.1    Chen, H.2
  • 4
    • 33645077774 scopus 로고
    • Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation
    • (doi:10.1103/PhysRevE.49.2941)
    • Shan, X. & Chen, H. 1994 Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Phys. Rev. E 49, 2941-2948. (doi:10.1103/PhysRevE.49.2941)
    • (1994) Phys. Rev. E , vol.49 , pp. 2941-2948
    • Shan, X.1    Chen, H.2
  • 5
    • 0942289332 scopus 로고    scopus 로고
    • Lattice-Boltzmann model based on field mediators for immiscible fluids
    • (doi:10.1103/PhysRevE.68.056302)
    • Santos, L. O. E., Facin, P. C. & Philippi, P. C. 2003 Lattice-Boltzmann model based on field mediators for immiscible fluids. Phys. Rev. E 68, 056302. (doi:10.1103/PhysRevE.68.056302)
    • (2003) Phys. Rev. E , vol.68 , pp. 056302
    • Santos, L.O.E.1    Facin, P.C.2    Philippi, P.C.3
  • 6
    • 67651027859 scopus 로고    scopus 로고
    • Lattice Boltzmann method with self-consistent thermo-hydrodynamic equilibria
    • (doi:10.1017/S002211200900665X)
    • Sbrabaglia, M., Benzi, R., Biferale, L., Chen, H., Shan, X. & Succi, S. 2009 Lattice Boltzmann method with self-consistent thermo-hydrodynamic equilibria. J. Fluid Mech. 628, 299-309. (doi:10.1017/S002211200900665X)
    • (2009) J. Fluid Mech. , vol.628 , pp. 299-309
    • Sbrabaglia, M.1    Benzi, R.2    Biferale, L.3    Chen, H.4    Shan, X.5    Succi, S.6
  • 7
    • 11744361965 scopus 로고
    • Lattice Boltzmann simulation of nonideal fluids
    • doi:10.1103/PhysRevLett.75.830)
    • Swift, M. R., Osborn, W. R. & Yeomans, J. M. 1995 Lattice Boltzmann simulation of nonideal fluids. Phys. Rev. Lett. 75, 830-833. (doi:10.1103/PhysRevLett.75.830)
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 830-833
    • Swift, M.R.1    Osborn, W.R.2    Yeomans, J.M.3
  • 9
    • 0032250954 scopus 로고    scopus 로고
    • An improved hydrodynamics formulation for multiphase flow lattice-boltzmann models
    • Holdych, D. J., Rovas, D., Georgiadis, J. G. & Buckius, R. O. 1998 An improved hydrodynamics formulation for multiphase flow lattice-Boltzmann models. Int. J. Mod. Phys. C 9, 1393-1404. (doi:10.1142/S0129183198001266) (Pubitemid 128479619)
    • (1998) International Journal of Modern Physics C , vol.9 , Issue.8 , pp. 1393-1404
    • Holdych, D.J.1    Rovas, D.2    Georgiadis, J.G.3    Buckius, R.O.4
  • 10
    • 0034229781 scopus 로고    scopus 로고
    • A Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach
    • (doi:10.1016/S0010-4655(00)00090-4)
    • Inamuro, T., Konishi, N. & Ogino, F. 2000 A Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach. Comput. Phys. Commun. 129, 32-45. (doi:10.1016/S0010-4655(00)00090-4)
    • (2000) Comput. Phys. Commun. , vol.129 , pp. 32-45
    • Inamuro, T.1    Konishi, N.2    Ogino, F.3
  • 11
    • 33751172688 scopus 로고    scopus 로고
    • Thermodynamic consistency of liquid-gas lattice Boltzmann simulations
    • (doi:10.1103/PhysRevE.74.056703)
    • Wagner, A. J. 2006 Thermodynamic consistency of liquid-gas lattice Boltzmann simulations. Phys. Rev. E 74, 056703. (doi:10.1103/PhysRevE.74.056703)
    • (2006) Phys. Rev. E , vol.74 , pp. 056703
    • Wagner, A.J.1
  • 12
    • 34548863954 scopus 로고    scopus 로고
    • Symmetric free-energy-based multicomponent lattice Boltzmann method
    • (doi:10.1103/PhysRevE.76.036701)
    • Li, Q. & Wagner, A. J. 2007 Symmetric free-energy-based multicomponent lattice Boltzmann method. Phys. Rev. E 76, 036701. (doi:10.1103/PhysRevE.76.036701)
    • (2007) Phys. Rev. E , vol.76 , pp. 036701
    • Li, Q.1    Wagner, A.J.2
  • 13
    • 33750384597 scopus 로고    scopus 로고
    • Eliminating parasitic currents in the lattice Boltzmann equation method for nonideal gases
    • (doi:10.1103/PhysRevE.74.046709)
    • Lee, T. & Fischer, P. F. 2006 Eliminating parasitic currents in the lattice Boltzmann equation method for nonideal gases. Phys. Rev. E 74, 046709. (doi:10.1103/PhysRevE.74.046709)
    • (2006) Phys. Rev. E , vol.74 , pp. 046709
    • Lee, T.1    Fischer, P.F.2
  • 14
    • 33645699298 scopus 로고    scopus 로고
    • Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models
    • (doi:10.1103/PhysRevE.73.047701)
    • Shan, X. 2006 Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models. Phys. Rev. E 73, 047701. (doi:10.1103/PhysRevE.73.047701)
    • (2006) Phys. Rev. E , vol.73 , pp. 047701
    • Shan, X.1
  • 15
    • 0036111728 scopus 로고    scopus 로고
    • Thermodynamic foundations of kinetic theory and Lattice Boltzmann models for multiphase flows
    • DOI 10.1023/A:1014527108336
    • He, X. & Doolen, G. D. 2002 Thermodynamic foundations of kinetic theory and lattice Boltzmann models for multiphase flows. J. Stat. Phys. 107, 309-328. (doi:10.1023/ A:1014527108336) (Pubitemid 37133856)
    • (2002) Journal of Statistical Physics , vol.107 , Issue.1-2 , pp. 309-328
    • He, X.1    Doolen, G.D.2
  • 16
    • 33646551163 scopus 로고    scopus 로고
    • From the continuous to the lattice Boltzmann equation: The discretization problem and thermal models
    • (doi:10.1103/PhysRevE.73.056702)
    • Philippi, P. C., Hegele Jr, L. A., dos Santos, L. O. E. & Surmas, R. 2006 From the continuous to the lattice Boltzmann equation: the discretization problem and thermal models. Phys. Rev. E 73, 056702. (doi:10.1103/PhysRevE.73. 056702)
    • (2006) Phys. Rev. E , vol.73 , pp. 056702
    • Philippi, P.C.1    Hegele Jr., L.A.2    Dos Santos, L.O.E.3    Surmas, R.4
  • 17
    • 33645687069 scopus 로고    scopus 로고
    • Kinetic theory representation of hydrodynamics: A way beyond the Navier-Stokes equation
    • (doi:10.1017/S0022112005008153)
    • Shan, X., Yuan, X.-F. & Chen, H. 2006 Kinetic theory representation of hydrodynamics: a way beyond the Navier-Stokes equation. J. Fluid Mech. 550, 413-442. (doi:10.1017/S002211 2005008153)
    • (2006) J. Fluid Mech. , vol.550 , pp. 413-442
    • Shan, X.1    Yuan, X.-F.2    Chen, H.3
  • 18
    • 77949385936 scopus 로고    scopus 로고
    • General solution of lattices for Cartesian lattice Bhatnagar-Gross-Krook models
    • (doi:10.1103/PhysRevE.81.036702)
    • Shan, X. 2010 General solution of lattices for Cartesian lattice Bhatnagar-Gross-Krook models. Phys. Rev. E 81, 036702. (doi:10.1103/PhysRevE.81. 036702)
    • (2010) Phys. Rev. E , vol.81 , pp. 036702
    • Shan, X.1
  • 21
    • 33745635390 scopus 로고    scopus 로고
    • Equations of state in a lattice Boltzmann model
    • (doi:10.1063/1.2187070)
    • Yuan, P. & Schaefer, L. 2006 Equations of state in a lattice Boltzmann model. Phys. Fluids 18, 042101. (doi:10.1063/1.2187070)
    • (2006) Phys. Fluids , vol.18 , pp. 042101
    • Yuan, P.1    Schaefer, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.