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.
ANALYSIS OF BLOOD FLOW IN DEFORMABLE VESSELS VIA A LATTICE BOLTZMANN APPROACH / ALESSANDRO DE ROSIS. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS C. - ISSN 0129-1831. - ELETTRONICO. - 25:4(2014), pp. 1350107.1-1350107.9. [10.1142/S0129183113501076]
ANALYSIS OF BLOOD FLOW IN DEFORMABLE VESSELS VIA A LATTICE BOLTZMANN APPROACH
DE ROSIS, ALESSANDRO
2014
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
