A free-surface lattice Boltzmann method for modelling the filling of expanding cavities by Bingham fluids

被引：64
作者：
Ginzburg, I [1 ]
Steiner, K [1 ]
机构：
[1] Fraunhofer Inst Techno & Wirtschaftsmath, D-67663 Kaiserslautern, Germany
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2002年 / 360卷 / 1792期
关键词：
generalized LBE; free-surface phenomena; interface boundary conditions; filling processes; Bingham viscoplastic model; regularized models;
D O I：
10.1098/rsta.2001.0941
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The filling process of viscoplastic metal alloys and plastics in expanding cavities is modelled using the lattice Boltzmann method in two and three dimensions. These models combine the regularized Bingham model for viscoplastic fluids with a free-interface algorithm. The latter is based on a modified immiscible lattice Boltzmann model in which one species is the fluid and the other one is considered to be a vacuum. The boundary conditions at the curved liquid-vacuum interface are met without any geometrical front reconstruction from a first-order Chapman-Enskog expansion. The numerical results obtained with these models are found in good agreement with available theoretical and numerical analysis.
引用
收藏
页码：453 / 466
页数：14
相关论文
共 21 条
[1]   NON-NEWTONIAN FLOW (THROUGH POROUS-MEDIA) - A LATTICE-BOLTZMANN METHOD [J].
AHARONOV, E ;
ROTHMAN, DH .
GEOPHYSICAL RESEARCH LETTERS, 1993, 20 (08) :679-682
[2]   Inertial, viscous and yield stress effects in Bingham fluid filling of a 2-D cavity [J].
Alexandrou, AN ;
Duc, E ;
Entov, V .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2001, 96 (03) :383-403
[3]  
BAKHUDAROV M, 1993, MODELING CASTING WEL, P421
[4]   Gravity in a lattice Boltzmann model [J].
Buick, JM ;
Greated, CA .
PHYSICAL REVIEW E, 2000, 61 (05) :5307-5320
[5]   On the determination of yield surfaces in Herschel-Bulkley fluids [J].
Burgos, GR ;
Alexandrou, AN ;
Entov, V .
JOURNAL OF RHEOLOGY, 1999, 43 (03) :463-483
[6]   Multiple-relaxation-time lattice Boltzmann models in three dimensions [J].
d'Humières, D ;
Ginzburg, I ;
Krafczyk, M ;
Lallemand, P ;
Luo, LS .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 360 (1792) :437-451
[7]  
DHUMIERES D, 1994, PROGR ASTRONAUT AERO, V159, P450
[8]  
Frisch U., 1987, Complex Systems, V1, P649
[9]  
GINZBOURG I, 1994, J PHYS II, V4, P191, DOI 10.1051/jp2:1994123
[10]   Local second-order boundary methods for lattice Boltzmann models [J].
Ginzbourg, I ;
dHumieres, D .
JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (5-6) :927-971
123