Entropic lattice Boltzmann models for hydrodynamics in three dimensions

被引:119
作者
Chikatamarla, S. S.
Ansumali, S.
Karlin, I. V. [1 ]
机构
[1] ETH, Inst Energy Technol, CH-8092 Zurich, Switzerland
[2] Nanyang Technol Univ, Sch Chem & Biomed Engn, Singapore 639798, Singapore
关键词
D O I
10.1103/PhysRevLett.97.010201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Efficient, nonlinearly stable entropic lattice Boltzmann models for computational fluid dynamics are presented. A new method of fast evaluation of equilibria to machine precision is proposed. Analytical solution is found for the collision step which guarantees stability and thermodynamic consistency of the scheme. As an example, a novel 15-velocity lattice Boltzmann model is derived and validated with a simulation of a three-dimensional backward-facing step flow.
引用
收藏
页数:4
相关论文
共 16 条
[1]   Consistent lattice Boltzmann method [J].
Ansumali, S ;
Karlin, IV .
PHYSICAL REVIEW LETTERS, 2005, 95 (26)
[2]   Minimal entropic kinetic models for hydrodynamics [J].
Ansumali, S ;
Karlin, IV ;
Öttinger, HC .
EUROPHYSICS LETTERS, 2003, 63 (06) :798-804
[3]   Thermodynamic theory of incompressible hydrodynamics -: art. no. 080602 [J].
Ansumali, S ;
Karlin, IV ;
Öttinger, HC .
PHYSICAL REVIEW LETTERS, 2005, 94 (08)
[4]  
Ansumali S, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.056312
[5]   Stabilization of the lattice Boltzmann method by the H theorem:: A numerical test [J].
Ansumali, S ;
Karlin, IV .
PHYSICAL REVIEW E, 2000, 62 (06) :7999-8003
[6]   EXPERIMENTAL AND THEORETICAL INVESTIGATION OF BACKWARD-FACING STEP FLOW [J].
ARMALY, BF ;
DURST, F ;
PEREIRA, JCF ;
SCHONUNG, B .
JOURNAL OF FLUID MECHANICS, 1983, 127 (FEB) :473-496
[7]   Entropic lattice Boltzmann methods [J].
Boghosian, BM ;
Yepez, J ;
Coveney, PV ;
Wager, A .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2007) :717-766
[8]   Grad's approximation for missing data in lattice Boltzmann simulations [J].
Chikatamarla, SS ;
Ansumali, S ;
Karlin, IV .
EUROPHYSICS LETTERS, 2006, 74 (02) :215-221
[9]  
KAIKTSIS LK, 1991, J FLUID MECH, V230, P501
[10]   Perfect entropy functions of the Lattice Boltzmann method [J].
Karlin, IV ;
Ferrante, A ;
Öttinger, HC .
EUROPHYSICS LETTERS, 1999, 47 (02) :182-188