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Volumn 387, Issue 2-3, 2008, Pages 385-406

Nonequilibrium entropy limiters in lattice Boltzmann methods

Author keywords

Entropy; Lattice Boltzmann method; Numerical regularisation

Indexed keywords

ENTROPY; FINITE ELEMENT METHOD; NUMERICAL METHODS; REYNOLDS NUMBER; SHOCK TUBES;

EID: 36448940182     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.09.031     Document Type: Article
Times cited : (40)

References (39)
  • 1
    • 41349084147 scopus 로고    scopus 로고
    • Kinetic boundary conditions in the lattice Boltzmann method
    • Ansumali S., and Karlin I.V. Kinetic boundary conditions in the lattice Boltzmann method. Phys. Rev. E 66 (2002) 026311
    • (2002) Phys. Rev. E , vol.66 , pp. 026311
    • Ansumali, S.1    Karlin, I.V.2
  • 2
    • 0141791179 scopus 로고    scopus 로고
    • Minimal entropic kinetic models for hydrodynamics
    • Ansumali S S., Karlin I.V., and Ottinger H.C. Minimal entropic kinetic models for hydrodynamics. Europhys. Lett. 63 (2003) 798-804
    • (2003) Europhys. Lett. , vol.63 , pp. 798-804
    • Ansumali S, S.1    Karlin, I.V.2    Ottinger, H.C.3
  • 3
    • 33645989763 scopus 로고    scopus 로고
    • Stretched exponentials from superstatistics
    • Beck C. Stretched exponentials from superstatistics. Physica A 365 (2006) 96-101
    • (2006) Physica A , vol.365 , pp. 96-101
    • Beck, C.1
  • 4
    • 13844320326 scopus 로고
    • The lattice Boltzmann-equation - theory and applications
    • Benzi R., Succi S., and Vergassola M. The lattice Boltzmann-equation - theory and applications. Phys. Rep. 222 (1992) 145-197
    • (1992) Phys. Rep. , vol.222 , pp. 145-197
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 6
    • 36448937985 scopus 로고    scopus 로고
    • R.A. Brownlee, A.N. Gorban, J. Levesley, Stabilisation of the lattice-Boltzmann method using the Ehrenfests' coarse-graining, cond-mat/0605359, 2006
  • 7
    • 33749258356 scopus 로고    scopus 로고
    • Stabilisation of the lattice-Boltzmann method using the Ehrenfests' coarse-graining
    • Brownlee R.A., Gorban A.N., and Levesley J. Stabilisation of the lattice-Boltzmann method using the Ehrenfests' coarse-graining. Phys. Rev. E 74 (2006) 037703
    • (2006) Phys. Rev. E , vol.74 , pp. 037703
    • Brownlee, R.A.1    Gorban, A.N.2    Levesley, J.3
  • 8
    • 34047135439 scopus 로고    scopus 로고
    • Stability and stabilization of the lattice Boltzmann method
    • Brownlee R.A., Gorban A.N., and Levesley J. Stability and stabilization of the lattice Boltzmann method. Phys. Rev. E 75 (2007) 036711
    • (2007) Phys. Rev. E , vol.75 , pp. 036711
    • Brownlee, R.A.1    Gorban, A.N.2    Levesley, J.3
  • 9
    • 28444438848 scopus 로고    scopus 로고
    • The 2D lid-driven cavity problem revisited
    • Bruneau C.-H., and Saad M. The 2D lid-driven cavity problem revisited. Comput. Fluids 35 (2006) 326-348
    • (2006) Comput. Fluids , vol.35 , pp. 326-348
    • Bruneau, C.-H.1    Saad, M.2
  • 11
    • 36448946694 scopus 로고    scopus 로고
    • S.R. Chatkravathy, S. Osher, High resolution applications of the Osher upwind scheme for the Euler equations, AIAA Paper 83-1943, In: Proc. AIAA 6th Computational Fluid Dynamics Conference, 1983, p. 363-373
  • 12
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., and Doolen G.D. 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
  • 13
  • 15
    • 0022659813 scopus 로고
    • Numerical investigation of incompressible flow in grooved channels. Part 1. Stability and self-sustained oscillations
    • Ghaddar N.K., Korczak K.Z., Mikic B.B., and Patera A.T. Numerical investigation of incompressible flow in grooved channels. Part 1. Stability and self-sustained oscillations. J. Fluid Mech. 163 (1986) 99-127
    • (1986) J. Fluid Mech. , vol.163 , pp. 99-127
    • Ghaddar, N.K.1    Korczak, K.Z.2    Mikic, B.B.3    Patera, A.T.4
  • 16
    • 0000935266 scopus 로고
    • A difference scheme for numerical solution of discontinuous solution of hydrodynamic equations
    • Godunov S.K. A difference scheme for numerical solution of discontinuous solution of hydrodynamic equations. Math. Sbornik 47 (1959) 271-306
    • (1959) Math. Sbornik , vol.47 , pp. 271-306
    • Godunov, S.K.1
  • 18
    • 4243756172 scopus 로고    scopus 로고
    • Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics
    • Gorban A.N., Karlin I.V., Öttinger H.C., and Tatarinova L.L. Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics. Phys. Rev. E 62 (2001) 066124
    • (2001) Phys. Rev. E , vol.62 , pp. 066124
    • Gorban, A.N.1    Karlin, I.V.2    Öttinger, H.C.3    Tatarinova, L.L.4
  • 19
    • 34047174311 scopus 로고    scopus 로고
    • Basic types of coarse-graining
    • Gorban A.N., Kazantzis N., Kevrekidis I.G., Öttinger H.-C., and Theodoropoulos C. (Eds), Springer, Berlin, Heidelberg, New York. cond-mat/0602024
    • Gorban A.N. Basic types of coarse-graining. In: Gorban A.N., Kazantzis N., Kevrekidis I.G., Öttinger H.-C., and Theodoropoulos C. (Eds). Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena (2006), Springer, Berlin, Heidelberg, New York 117-176. cond-mat/0602024
    • (2006) Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena , pp. 117-176
    • Gorban, A.N.1
  • 20
    • 84956073211 scopus 로고
    • Lattice gas-dynamics with enhanced collisions
    • Higuera F., Succi S., and Benzi R. Lattice gas-dynamics with enhanced collisions. Europhys. Lett. 9 (1989) 345-349
    • (1989) Europhys. Lett. , vol.9 , pp. 345-349
    • Higuera, F.1    Succi, S.2    Benzi, R.3
  • 21
    • 0004574861 scopus 로고
    • Simulation of cavity flow by the lattice Boltzmann method
    • Hou S., Zou Q., Chen S., Doolen G., and Cogley A.C. Simulation of cavity flow by the lattice Boltzmann method. J. Comput. Phys. 118 (1995) 329-347
    • (1995) J. Comput. Phys. , vol.118 , pp. 329-347
    • Hou, S.1    Zou, Q.2    Chen, S.3    Doolen, G.4    Cogley, A.C.5
  • 22
  • 23
    • 0033546458 scopus 로고    scopus 로고
    • Perfect entropy functions of the lattice Boltzmann method
    • Karlin I.V., Ferrante A., and Öttinger H.C. Perfect entropy functions of the lattice Boltzmann method. Europhys. Lett. 47 (1999) 182-188
    • (1999) Europhys. Lett. , vol.47 , pp. 182-188
    • Karlin, I.V.1    Ferrante, A.2    Öttinger, H.C.3
  • 26
    • 0030384290 scopus 로고    scopus 로고
    • Oscillations arising in numerical experiments
    • Levermore C.D., and Liu J.-G. Oscillations arising in numerical experiments. Physica D 99 (1996) 191-216
    • (1996) Physica D , vol.99 , pp. 191-216
    • Levermore, C.D.1    Liu, J.-G.2
  • 27
    • 10244278027 scopus 로고    scopus 로고
    • Numerical study of flow past an impulsively started cylinder by the lattice-Boltzmann method
    • Li Y., Shock R., Zhang R., and Chen H. Numerical study of flow past an impulsively started cylinder by the lattice-Boltzmann method. J. Fluid Mech. 519 (2004) 273-300
    • (2004) J. Fluid Mech. , vol.519 , pp. 273-300
    • Li, Y.1    Shock, R.2    Zhang, R.3    Chen, H.4
  • 28
    • 0002706567 scopus 로고    scopus 로고
    • A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations
    • Pan T.W., and Glowinksi R. A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations. Comput. Fluid Dyn. J. 9 (2000) 28-42
    • (2000) Comput. Fluid Dyn. J. , vol.9 , pp. 28-42
    • Pan, T.W.1    Glowinksi, R.2
  • 29
    • 0036522107 scopus 로고    scopus 로고
    • Transition in a 2-D lid-driven cavity flow
    • Peng Y.-F., Shiau Y.-H., and Hwang R.R. Transition in a 2-D lid-driven cavity flow. Comput. Fluids 32 (2003) 337-352
    • (2003) Comput. Fluids , vol.32 , pp. 337-352
    • Peng, Y.-F.1    Shiau, Y.-H.2    Hwang, R.R.3
  • 31
    • 0035305311 scopus 로고    scopus 로고
    • Relative entropy: free energy associated with equilibrium fluctuations and nonequilibrium deviations
    • Qian H. Relative entropy: free energy associated with equilibrium fluctuations and nonequilibrium deviations. Phys. Rev. E. 63 (2001) 042103
    • (2001) Phys. Rev. E. , vol.63 , pp. 042103
    • Qian, H.1
  • 32
    • 0022477699 scopus 로고
    • Characteristic-based schemes for the Euler equations
    • Roe P.L. Characteristic-based schemes for the Euler equations. Ann. Rev. Fluid Mech. 18 (1986) 337-365
    • (1986) Ann. Rev. Fluid Mech. , vol.18 , pp. 337-365
    • Roe, P.L.1
  • 34
    • 0036822246 scopus 로고    scopus 로고
    • Role of the H theorem in lattice Boltzmann hydrodynamic simulations
    • Succi S., Karlin I.V., and Chen H. Role of the H theorem in lattice Boltzmann hydrodynamic simulations. Rev. Mod. Phys. 74 (2002) 1203-1220
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 1203-1220
    • Succi, S.1    Karlin, I.V.2    Chen, H.3
  • 35
    • 0021513424 scopus 로고
    • High resolution schemes using flux-limiters for hyperbolic conservation laws
    • Sweby P.K. High resolution schemes using flux-limiters for hyperbolic conservation laws. SIAM J. Num. Anal. 21 (1984) 995-1011
    • (1984) SIAM J. Num. Anal. , vol.21 , pp. 995-1011
    • Sweby, P.K.1
  • 36
    • 34748872597 scopus 로고    scopus 로고
    • Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity
    • Tadmor E., and Zhong W. Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity. J. Hyperbolic Differ. Equ. 3 (2006) 529-559
    • (2006) J. Hyperbolic Differ. Equ. , vol.3 , pp. 529-559
    • Tadmor, E.1    Zhong, W.2
  • 37
    • 33747374389 scopus 로고    scopus 로고
    • Numerical stability of entropic versus positivity-enforcing lattice Boltzmann schemes
    • Tosi F., Ubertini S., Succi S., Chen H., and Karlin I.V. Numerical stability of entropic versus positivity-enforcing lattice Boltzmann schemes. Math. Comput. Simulation 72 (2006) 227-231
    • (2006) Math. Comput. Simulation , vol.72 , pp. 227-231
    • Tosi, F.1    Ubertini, S.2    Succi, S.3    Chen, H.4    Karlin, I.V.5
  • 38
    • 3142757150 scopus 로고
    • Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow
    • Van Leer B. Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow. J. Comput. Phys. 23 (1977) 263-275
    • (1977) J. Comput. Phys. , vol.23 , pp. 263-275
    • Van Leer, B.1


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