Analysis of blood flow in deformable vessels via a lattice Boltzmann approach

被引:6
作者
De Rosis, Alessandro [1 ]
机构
[1] Univ Bologna, DICAM, I-40136 Bologna, Italy
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2014年 / 25卷 / 04期
关键词
Lattice Boltzmann method; deformable vessel; pulsatile flow; fluid-structure interaction; FLUID-STRUCTURE INTERACTION; NAVIER-STOKES EQUATIONS; FINITE-ELEMENT; NUMERICAL-ANALYSIS; SIMULATION; RHEOLOGY; MODELS; TRANSPIRATION;
D O I
10.1142/S0129183113501076
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, the lattice Boltzmann (LB) method is used in order to simulate non-Newtonian blood flows in deformable vessels. Casson's rheological model is adopted and a local correction to the relaxation time is implemented in order to modify the viscosity. The hyperelastic, hardening and anisotropic behavior of a flexible arterial wall is discussed and a closed-form solution is used to predict the deformed configuration of the vessel. A partitioned staggered-explicit strategy to couple the LB method and such analytical prediction is proposed.
引用
收藏
页数:18
相关论文
共 51 条
[1]  
Abi-Abdallah D., 2007, Computer Methods in Biomechanics and Biomedical Engineering, V10, P159, DOI 10.1080/10255840701479636
[2]   Mesoscopic simulations of systolic flow in the human abdominal aorta [J].
Artoli, AM ;
Hoekstra, AG ;
Sloot, PMA .
JOURNAL OF BIOMECHANICS, 2006, 39 (05) :873-884
[3]   A comparison of non-Newtonian models for lattice Boltzmann blood flow simulations [J].
Ashrafizaadeh, Mahmud ;
Bakhshaei, Hani .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (05) :1045-1054
[4]   Isogeometric fluid-structure interaction analysis with applications to arterial blood flow [J].
Bazilevs, Y. ;
Calo, V. M. ;
Zhang, Y. ;
Hughes, T. J. R. .
COMPUTATIONAL MECHANICS, 2006, 38 (4-5) :310-322
[5]   THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS [J].
BENZI, R ;
SUCCI, S ;
VERGASSOLA, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03) :145-197
[6]   Non-Newtonian blood flow simulation in cerebral aneurysms [J].
Bernsdorf, J. ;
Wang, D. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (05) :1024-1029
[7]  
Bisson M., 2011, COMMUN COMPUT PHYS
[8]   Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method [J].
Boyd, Joshua ;
Buick, James M. ;
Green, Simon .
PHYSICS OF FLUIDS, 2007, 19 (09)
[9]   Vascular fluid dynamics and vascular biology and disease [J].
Caro, CG .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2001, 24 (17-18) :1311-1324
[10]   RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].
CHEN, HD ;
CHEN, SY ;
MATTHAEUS, WH .
PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342