-
3
-
-
34249834360
-
A convergence proof for Birds direct simulation Monte Carlo method for the Boltzmann equation
-
Wagner W. A convergence proof for Birds direct simulation Monte Carlo method for the Boltzmann equation. J. Stat. Phys. 1992, 66:1011-1044.
-
(1992)
J. Stat. Phys.
, vol.66
, pp. 1011-1044
-
-
Wagner, W.1
-
4
-
-
9744232189
-
Examination of the LBM in simulation of microchannel flow in transitional regime
-
Shen C., Tian D.B., Xie C., Fan J. Examination of the LBM in simulation of microchannel flow in transitional regime. Microscale Thermophys. Eng. 2004, 8(4):423-432.
-
(2004)
Microscale Thermophys. Eng.
, vol.8
, Issue.4
, pp. 423-432
-
-
Shen, C.1
Tian, D.B.2
Xie, C.3
Fan, J.4
-
5
-
-
0032632334
-
The fluid mechanics of microdevices
-
Gad-el-Hak M. The fluid mechanics of microdevices. J. Fluids Eng. 1999, 12(1):5-33.
-
(1999)
J. Fluids Eng.
, vol.12
, Issue.1
, pp. 5-33
-
-
Gad-el-Hak, M.1
-
6
-
-
27144465969
-
Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
-
Sbragaglia M., Succi S. Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. J. Phys. Fluids 2005, 17:093602.
-
(2005)
J. Phys. Fluids
, vol.17
, pp. 093602
-
-
Sbragaglia, M.1
Succi, S.2
-
7
-
-
19744369611
-
Simulation of gas flow in microchannels with a sudden expansion or contraction
-
Agrawal A., Djenidi L., Antonia R.A. Simulation of gas flow in microchannels with a sudden expansion or contraction. J. Fluid Mech. 2005, 530:135-144.
-
(2005)
J. Fluid Mech.
, vol.530
, pp. 135-144
-
-
Agrawal, A.1
Djenidi, L.2
Antonia, R.A.3
-
8
-
-
33645943380
-
Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for micro gas flows
-
Guo Z.L., Zhao T.S., Shi Y. Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for micro gas flows. J. Appl. Phys. 2006, 99:074903.
-
(2006)
J. Appl. Phys.
, vol.99
, pp. 074903
-
-
Guo, Z.L.1
Zhao, T.S.2
Shi, Y.3
-
9
-
-
36249008030
-
Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows
-
Guo Z.L., Shi B.C., Zhao T.S., Zheng C.G. Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows. Phys. Rev. E 2007, 76:056704.
-
(2007)
Phys. Rev. E
, vol.76
, pp. 056704
-
-
Guo, Z.L.1
Shi, B.C.2
Zhao, T.S.3
Zheng, C.G.4
-
10
-
-
41549112062
-
Lattice Boltzmann equation with multiple effective relaxation times for gaseous microscale flow
-
Guo Z.L., Zheng C.G., Shi B.C. Lattice Boltzmann equation with multiple effective relaxation times for gaseous microscale flow. Phys. Rev. E 2008, 77:036707.
-
(2008)
Phys. Rev. E
, vol.77
, pp. 036707
-
-
Guo, Z.L.1
Zheng, C.G.2
Shi, B.C.3
-
11
-
-
20944432095
-
Nanoscale air bearing modeling via lattice Boltzmann method
-
Kim W.T., Jhon M.S., Zhou Y., Staroselsky I., Chen H.D. Nanoscale air bearing modeling via lattice Boltzmann method. J. Appl. Phys. 2005, 97:10P304.
-
(2005)
J. Appl. Phys.
, vol.97
-
-
Kim, W.T.1
Jhon, M.S.2
Zhou, Y.3
Staroselsky, I.4
Chen, H.D.5
-
12
-
-
37649027266
-
Rarefaction and compressibility effects of the lattice Boltzmann equation method in a gas microchannel
-
Lee T., Lin C.L. Rarefaction and compressibility effects of the lattice Boltzmann equation method in a gas microchannel. Phys. Rev. E 2005, 71:046706.
-
(2005)
Phys. Rev. E
, vol.71
, pp. 046706
-
-
Lee, T.1
Lin, C.L.2
-
13
-
-
55549133585
-
Lattice Boltzmann modeling of microchannel flow in slip flow regime
-
Verhaeghe F., Luo L.S., Blanpain B. Lattice Boltzmann modeling of microchannel flow in slip flow regime. J. Comput. Phys. 2009, 228:147-157.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 147-157
-
-
Verhaeghe, F.1
Luo, L.S.2
Blanpain, B.3
-
14
-
-
33645687069
-
Kinetic theory representation of hydrodynamics: a way beyond Navier-Stokes equation
-
Shan X., Yuan X.-F., Chen H. Kinetic theory representation of hydrodynamics: a way beyond Navier-Stokes equation. J. Fluid Mech. 2006, 550:413-441.
-
(2006)
J. Fluid Mech.
, vol.550
, pp. 413-441
-
-
Shan, X.1
Yuan, X.-F.2
Chen, H.3
-
15
-
-
33750984258
-
Entropy and Galilean invariance of lattice Boltzmann theories
-
Chikatamarla S.S., Karlin I.V. Entropy and Galilean invariance of lattice Boltzmann theories. Phys. Rev. Lett. 2006, 97:190601.
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 190601
-
-
Chikatamarla, S.S.1
Karlin, I.V.2
-
16
-
-
33947588372
-
Hydrodynamics beyond Navier-Stokes: exact solution to the lattice Boltzmann hierarchy
-
Ansumali S., Karlin I.V., Arcidiacono S., Abbas A., Prasianakis N.I. Hydrodynamics beyond Navier-Stokes: exact solution to the lattice Boltzmann hierarchy. Phys. Rev. Lett. 2007, 98:124502.
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 124502
-
-
Ansumali, S.1
Karlin, I.V.2
Arcidiacono, S.3
Abbas, A.4
Prasianakis, N.I.5
-
17
-
-
49349085687
-
Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers
-
Kim S.H., Pitsch H.P., Boyd I.D. Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers. J. Comput. Phys. 2008, 227:8655-8671.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 8655-8671
-
-
Kim, S.H.1
Pitsch, H.P.2
Boyd, I.D.3
-
18
-
-
33750046359
-
Capturing Knudsen layer phenomena using a lattice Boltzmann model
-
Zhang Y.H., Gu X.J., Barber R.W., Emerson D.R. Capturing Knudsen layer phenomena using a lattice Boltzmann model. Phys. Rev. E 2006, 74:046704.
-
(2006)
Phys. Rev. E
, vol.74
, pp. 046704
-
-
Zhang, Y.H.1
Gu, X.J.2
Barber, R.W.3
Emerson, D.R.4
-
19
-
-
42549165251
-
Lattice Boltzmann models for nonequilibrium gas flows
-
Tang G.H., Zhang Y.H., Emerson D.R. Lattice Boltzmann models for nonequilibrium gas flows. Phys. Rev. E 2008, 77:046701.
-
(2008)
Phys. Rev. E
, vol.77
, pp. 046701
-
-
Tang, G.H.1
Zhang, Y.H.2
Emerson, D.R.3
-
20
-
-
61949345410
-
Lattice Boltzmann modeling Knudsen layer effect in non-equilibrium flows
-
Tang G.H., Zhang Y.H., Gu X.J., Emerson D.R. Lattice Boltzmann modeling Knudsen layer effect in non-equilibrium flows. EPL 2008, 83:40008.
-
(2008)
EPL
, vol.83
, pp. 40008
-
-
Tang, G.H.1
Zhang, Y.H.2
Gu, X.J.3
Emerson, D.R.4
-
22
-
-
79957802922
-
-
Thermal Lattice Boltzmann Two-Phase Flow Model for Fluid Dynamics, PhD Thesis, University of Pittsburgh
-
Y. Peng, Thermal Lattice Boltzmann Two-Phase Flow Model for Fluid Dynamics, PhD Thesis, University of Pittsburgh (2005).
-
(2005)
-
-
Peng, Y.1
-
27
-
-
0038735493
-
Lattice Boltzmann model of microfluidics with high Reynolds numbers in the presence of external forces
-
Li B., Wok D.K. Lattice Boltzmann model of microfluidics with high Reynolds numbers in the presence of external forces. Phys. Rev. Lett. 2003, 90:124502.
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 124502
-
-
Li, B.1
Wok, D.K.2
-
28
-
-
36549094315
-
Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard sphere molecules
-
Ohwada T., Sone Y., Aoki K. Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard sphere molecules. Phys. Fluids A 1989, 1(12):2042-2049.
-
(1989)
Phys. Fluids A
, vol.1
, Issue.12
, pp. 2042-2049
-
-
Ohwada, T.1
Sone, Y.2
Aoki, K.3
-
30
-
-
0000866303
-
A survey of flow at low pressures
-
Thompson S.L., Owens W.R. A survey of flow at low pressures. Vacuum 1975, 25:151-156.
-
(1975)
Vacuum
, vol.25
, pp. 151-156
-
-
Thompson, S.L.1
Owens, W.R.2
-
31
-
-
0029296703
-
Equivalent circuit model of the squeezed gas film in a silicon accelerometer
-
Veijola T., Kuisma H., Lahdenpera J., Ryhanen T. Equivalent circuit model of the squeezed gas film in a silicon accelerometer. Sens. Actuators, A 1995, 48:239-248.
-
(1995)
Sens. Actuators, A
, vol.48
, pp. 239-248
-
-
Veijola, T.1
Kuisma, H.2
Lahdenpera, J.3
Ryhanen, T.4
-
32
-
-
36149021726
-
On gaseous self-diffusion in long capillary tubes
-
Polard W.G., Present R.D. On gaseous self-diffusion in long capillary tubes. Phys. Rev. 1948, 73(7):762-774.
-
(1948)
Phys. Rev.
, vol.73
, Issue.7
, pp. 762-774
-
-
Polard, W.G.1
Present, R.D.2
-
33
-
-
0141450124
-
Lattice-Boltzmann simulations of fluid flows in MEMS
-
Nie X., Doolen D., Chen S. Lattice-Boltzmann simulations of fluid flows in MEMS. J. Stat. Phys. 2002, 107(1/2).
-
(2002)
J. Stat. Phys.
, vol.107
, Issue.1-2
-
-
Nie, X.1
Doolen, D.2
Chen, S.3
-
34
-
-
0037026130
-
Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis
-
Succi S. Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis. J. Phys. Rev. Lett. 2002, 89:064502.
-
(2002)
J. Phys. Rev. Lett.
, vol.89
, pp. 064502
-
-
Succi, S.1
-
35
-
-
32044470680
-
Mesoscopic modeling of heterogeneous boundary conditions for microchannel flows
-
Benzi R., Biferale L., Sbragaglia M., Succi S., Toschi F. Mesoscopic modeling of heterogeneous boundary conditions for microchannel flows. J. Fluid Mech. 2006, 548:257-280.
-
(2006)
J. Fluid Mech.
, vol.548
, pp. 257-280
-
-
Benzi, R.1
Biferale, L.2
Sbragaglia, M.3
Succi, S.4
Toschi, F.5
-
36
-
-
0033239234
-
A model for flows in channels, pipes and ducts at micro and nano scales
-
Beskok A., Karniadakis G.E. A model for flows in channels, pipes and ducts at micro and nano scales. Microscale Thermophys. Eng. 1999, 343-377.
-
(1999)
Microscale Thermophys. Eng.
, pp. 343-377
-
-
Beskok, A.1
Karniadakis, G.E.2
-
37
-
-
34547235541
-
Lattice kinetic theory as a form of supra-molecular dynamics for computational microfluidics
-
Succi S., Benzi R., Biferale L., Sbragaglia M., Toschi F. Lattice kinetic theory as a form of supra-molecular dynamics for computational microfluidics. Acad. Sci. Tech. Sci. 2007, 55(2).
-
(2007)
Acad. Sci. Tech. Sci.
, vol.55
, Issue.2
-
-
Succi, S.1
Benzi, R.2
Biferale, L.3
Sbragaglia, M.4
Toschi, F.5
-
38
-
-
0039718204
-
Poiseuille flow and thermal creep of a rarefied gas between parallel plates
-
Kanki T., Iuchi S. Poiseuille flow and thermal creep of a rarefied gas between parallel plates. J. Phys. Fluids 1973, 16(5):594-599.
-
(1973)
J. Phys. Fluids
, vol.16
, Issue.5
, pp. 594-599
-
-
Kanki, T.1
Iuchi, S.2
-
39
-
-
4544236275
-
Variational approach to gas flows in microchannels
-
Cercignani C., Lampis M., Lorenzani S. Variational approach to gas flows in microchannels. J. Phys. Fluid 2004, 16:3426-3437.
-
(2004)
J. Phys. Fluid
, vol.16
, pp. 3426-3437
-
-
Cercignani, C.1
Lampis, M.2
Lorenzani, S.3
-
40
-
-
84977259887
-
Die gesetze der molecular stromung und dieinneren reibungstromung der gase durchrohren
-
Knudsen M. Die gesetze der molecular stromung und dieinneren reibungstromung der gase durchrohren. Ann. Phys. 1909, 28:75-130.
-
(1909)
Ann. Phys.
, vol.28
, pp. 75-130
-
-
Knudsen, M.1
-
41
-
-
41349091193
-
Lattice Boltzmann simulation of rarefied gas flows in microchannels
-
Zhang Y., Qin R., Emerson D.R. Lattice Boltzmann simulation of rarefied gas flows in microchannels. Phys. Rev. Lett. 2005, 71:047702.
-
(2005)
Phys. Rev. Lett.
, vol.71
, pp. 047702
-
-
Zhang, Y.1
Qin, R.2
Emerson, D.R.3
-
42
-
-
31944452059
-
Simulation of micro and nano scale flows via the lattice Boltzmann method
-
Zhoua Y., Zhanga R., Staroselskya I., Chena H., Kimb W.T., Jhon M.S. Simulation of micro and nano scale flows via the lattice Boltzmann method. Physica A 2006, 362:68-77.
-
(2006)
Physica A
, vol.362
, pp. 68-77
-
-
Zhoua, Y.1
Zhanga, R.2
Staroselskya, I.3
Chena, H.4
Kimb, W.T.5
Jhon, M.S.6
|