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Modelling and numerics for respiratory aerosols. (English) Zbl 1373.76078
Summary: In this work, we present a model for an aerosol (air/particle mixture) in the respiratory system. It consists of the incompressible Navier-Stokes equations for the air and the Vlasov equation for the particles in a fixed or moving domain, coupled through a drag force. We propose a discretization of the model, investigate stability properties of the numerical code and sensitivity to parameter perturbation. We also focus on the influence of the aerosol on the airflow.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
76T10 Liquid-gas two-phase flows, bubbly flows
76Z05 Physiological flows
92C30 Physiology (general)
35Q30 Navier-Stokes equations
35Q92 PDEs in connection with biology, chemistry and other natural sciences
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