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A lattice Boltzmann model for blood flows. (English) Zbl 1252.76068
Summary: A lattice Boltzmann model for blood flows is proposed. The lattice Boltzmann Bi-viscosity constitutive relations and control dynamics equations of blood flow are presented. A non-equilibrium phase is added to the equilibrium distribution function in order to adjust the viscosity coefficient. By comparison with the rheology models, we find that the lattice Boltzmann Bi-viscosity model is more suitable to study blood flow problems. To demonstrate the potential of this approach and its suitability for the application, based on this validate model, as examples, the blood flow inside the stenotic artery is investigated.

MSC:
76M28 Particle methods and lattice-gas methods
76Z05 Physiological flows
76A10 Viscoelastic fluids
92C35 Physiological flow
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