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Ilya Karlin
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Kinetic boundary conditions in the lattice Boltzmann method
S Ansumali, IV Karlin
Physical Review E 66 (2), 026311, 2002
4602002
Perfect entropy functions of the lattice Boltzmann method
IV Karlin, A Ferrante, HC Öttinger
EPL (Europhysics Letters) 47 (2), 182, 1999
4571999
Invariant manifolds for physical and chemical kinetics
AN Gorban, IV Karlin
Lect. Notes Phys 660, 2004
3602004
Minimal entropic kinetic models for hydrodynamics
S Ansumali, IV Karlin, HC Öttinger
Europhysics Letters 63 (6), 798, 2003
3492003
Method of invariant manifold for chemical kinetics
AN Gorban, IV Karlin
Chemical Engineering Science 58 (21), 4751-4768, 2003
2892003
Colloquium: Role of the H theorem in lattice Boltzmann hydrodynamic simulations
S Succi, IV Karlin, H Chen
Reviews of Modern Physics 74 (4), 1203, 2002
2452002
Maximum entropy principle for lattice kinetic equations
IV Karlin, AN Gorban, S Succi, V Boffi
Physical Review Letters 81 (1), 6, 1998
2171998
Single relaxation time model for entropic lattice Boltzmann methods
S Ansumali, IV Karlin
Physical Review E 65 (5), 056312, 2002
2112002
Entropy and Galilean invariance of lattice Boltzmann theories
SS Chikatamarla, IV Karlin
Physical review letters 97 (19), 190601, 2006
2102006
Lattices for the lattice Boltzmann method
SS Chikatamarla, IV Karlin
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 79 (4 …, 2009
1972009
Constructive methods of invariant manifolds for kinetic problems
AN Gorban, IV Karlin, AY Zinovyev
Physics Reports 396 (4-6), 197-403, 2004
1972004
Entropic lattice Boltzmann models for hydrodynamics in three dimensions
SS Chikatamarla, S Ansumali, IV Karlin
Physical review letters 97 (1), 010201, 2006
1902006
Entropic lattice Boltzmann method for multiphase flows
A Mazloomi M, SS Chikatamarla, IV Karlin
Physical review letters 114 (17), 174502, 2015
174*2015
Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
S Ansumali, IV Karlin, S Arcidiacono, A Abbas, NI Prasianakis
Physical review letters 98 (12), 124502, 2007
1742007
Stabilization of the lattice Boltzmann method by the H theorem: A numerical test
S Ansumali, IV Karlin
Physical Review E 62 (6), 7999, 2000
1672000
Lattice Boltzmann method for thermal flow simulation on standard lattices
NI Prasianakis, IV Karlin
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 76 (1 …, 2007
1542007
Gibbs' principle for the lattice-kinetic theory of fluid dynamics
IV Karlin, F Bösch, SS Chikatamarla
Physical Review E 90 (3), 031302, 2014
1492014
Entropy function approach to the lattice Boltzmann method
S Ansumali, IV Karlin
Journal of Statistical Physics 107, 291-308, 2002
1402002
Consistent lattice Boltzmann method
S Ansumali, IV Karlin
Physical review letters 95 (26), 260605, 2005
1372005
Galilean-invariant lattice-Boltzmann models with H theorem
BM Boghosian, PJ Love, PV Coveney, IV Karlin, S Succi, J Yepez
Physical Review E 68 (2), 025103, 2003
1322003
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