-
1
-
-
41349084147
-
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
-
3
-
-
33645989763
-
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
-
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
-
-
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
-
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
-
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
-
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
-
-
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
-
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
-
15
-
-
0022659813
-
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
-
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
-
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
-
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
-
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
-
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
-
23
-
-
0033546458
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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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