UNSTRUCTURED LATTICE BOLTZMANN METHOD FOR HEMODYNAMIC FLOWS WITH SHEAR-DEPENDENT VISCOSITY

J. Janela (), A. Sequeira (), G. Pontrelli (), S. Succi () and S. Ubertini ()
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J. Janela: Department of Mathematics-ISEG and CEMAT-IST, 1200-781 Lisbon, Portugal
A. Sequeira: Department of Mathematics and CEMAT-IST, 1049-001 Lisbon, Portugal
G. Pontrelli: Istituto per le Applicazioni del Calcolo-CNR, 00185 Roma, Italy
S. Succi: Istituto per le Applicazioni del Calcolo-CNR, 00185 Roma, Italy
S. Ubertini: Department of Technology, University of Naples "Parthenope," Napoli, Italy

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 06, 795-811

Abstract: The lattice Boltzmann formulation on unstructured grids (ULBE) is compared against semi-analytical solutions of non-Newtonian flows in straight channels, as well as with finite-element simulations in stenosed geometries. In all cases, satisfactory agreement is found, lending further credit to the ULBE method as a potentially useful method for the numerical simulation of small-scale hemodynamic flows, such as blood flow in capillaries and arterioles.

Keywords: Unstructured lattice Boltzmann method; shear-thinning flows; hemodynamics; semi-analytical solution (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015488

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