Entropic lattice Boltzmann method for microflows
作者： S. Ansumali , I.V. Karlin , C.E. Frouzakis , K.B. Boulouchos
DOI: 10.1016/J.PHYSA.2005.04.039
关键词: Lattice Boltzmann methods 、 Hagen–Poiseuille equation 、 Mach number 、 Boundary value problem 、 Knudsen number 、 Statistical physics 、 Kinetic Monte Carlo 、 Open-channel flow 、 Mathematics 、 Scaling
摘要: … expensive microscopic simulation techniques such as kinetic Monte Carlo and/or molecular … From the analysis of the Boltzmann–BGK equation it is known that the dimensionless flow …
core.ac.uk
harvard.edu
arxiv.org
elsevier.com
sci-hub.se 参考文章(33)
Santosh Ansumali, Iliya V. Karlin, Entropy Function Approach to the Lattice Boltzmann Method Journal of Statistical Physics. ,vol. 107, pp. 291- 308 ,(2002) , 10.1023/A:1014575024265
Iliya V. Karlin, Alexander N. Gorban, Invariant Manifolds for Physical and Chemical Kinetics ,(2005)
Santosh Ansumali, Iliya V. Karlin, Hans Christian Öttinger, Thermodynamic Theory of Incompressible Hydrodynamics Physical Review Letters. ,vol. 94, pp. 080602- ,(2005) , 10.1103/PHYSREVLETT.94.080602
Iliya V. Karlin, Alexander N. Gorban, S. Succi, V. Boffi, Maximum Entropy Principle for Lattice Kinetic Equations Physical Review Letters. ,vol. 81, pp. 6- 9 ,(1998) , 10.1103/PHYSREVLETT.81.6
Santosh Ansumali, Iliya V. Karlin, Kinetic boundary conditions in the lattice Boltzmann method. Physical Review E. ,vol. 66, pp. 026311- 026311 ,(2002) , 10.1103/PHYSREVE.66.026311
Santosh Ansumali, Iliya V. Karlin, Stabilization of the lattice Boltzmann method by the H Theorem: A numerical test Physical Review E. ,vol. 62, pp. 7999- 8003 ,(2000) , 10.1103/PHYSREVE.62.7999
Sauro Succi, Iliya V. Karlin, Hudong Chen, Colloquium: Role of the H theorem in lattice Boltzmann hydrodynamic simulations Reviews of Modern Physics. ,vol. 74, pp. 1203- 1220 ,(2002) , 10.1103/REVMODPHYS.74.1203
I. V. Karlin, H. C. Öttinger, S. Ansumali, Minimal entropic kinetic models for hydrodynamics EPL. ,vol. 63, pp. 798- 804 ,(2003) , 10.1209/EPL/I2003-00496-6
C. Y. Lim, C. Shu, X. D. Niu, Y. T. Chew, Application of lattice Boltzmann method to simulate microchannel flows Physics of Fluids. ,vol. 14, pp. 2299- 2308 ,(2002) , 10.1063/1.1483841
Miroslav Grmela, Iliya V. Karlin, Vladimir B. Zmievski, Boundary layer variational principles: A case study Physical Review E. ,vol. 66, pp. 011201- ,(2002) , 10.1103/PHYSREVE.66.011201