Choice of boundary condition for lattice-Boltzmann simulation of moderate-Reynolds-number flow in complex domains.
Phys Rev E Stat Nonlin Soft Matter Phys
; 89(2): 023303, 2014 Feb.
Article
em En
| MEDLINE
| ID: mdl-25353601
ABSTRACT
Modeling blood flow in larger vessels using lattice-Boltzmann methods comes with a challenging set of constraints a complex geometry with walls and inlets and outlets at arbitrary orientations with respect to the lattice, intermediate Reynolds (Re) number, and unsteady flow. Simple bounce-back is one of the most commonly used, simplest, and most computationally efficient boundary conditions, but many others have been proposed. We implement three other methods applicable to complex geometries [Guo, Zheng, and Shi, Phys. Fluids 14, 2007 (2002); Bouzidi, Firdaouss, and Lallemand, Phys. Fluids 13, 3452 (2001); Junk and Yang, Phys. Rev. E 72, 066701 (2005)] in our open-source application hemelb. We use these to simulate Poiseuille and Womersley flows in a cylindrical pipe with an arbitrary orientation at physiologically relevant Re number (1-300) and Womersley (4-12) numbers and steady flow in a curved pipe at relevant Dean number (100-200) and compare the accuracy to analytical solutions. We find that both the Bouzidi-Firdaouss-Lallemand (BFL) and Guo-Zheng-Shi (GZS) methods give second-order convergence in space while simple bounce-back degrades to first order. The BFL method appears to perform better than GZS in unsteady flows and is significantly less computationally expensive. The Junk-Yang method shows poor stability at larger Re number and so cannot be recommended here. The choice of collision operator (lattice Bhatnagar-Gross-Krook vs multiple relaxation time) and velocity set (D3Q15 vs D3Q19 vs D3Q27) does not significantly affect the accuracy in the problems studied.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Reologia
/
Velocidade do Fluxo Sanguíneo
/
Vasos Sanguíneos
/
Algoritmos
/
Análise Numérica Assistida por Computador
/
Modelos Cardiovasculares
Limite:
Animals
/
Humans
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2014
Tipo de documento:
Article
País de afiliação:
Reino Unido