Unstructured Lattice Boltzmann Method for Hemodynamic Flows with Shear-Dependent Viscosity
Janela, João; Pontrelli, G.; Sequeira, Adélia; Succi, S.; Ubertini, S.
International Journal of Modern Physics C, 21(6) (2010), 795-811
http://dx.doi.org/10.1142/S0129183110015488
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.
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