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Modelling and Numerics for Respiratory Aerosols
Part of:
Partial differential equations, initial value and time-dependent initial-boundary value problems
Equations of mathematical physics and other areas of application
Published online by Cambridge University Press: 14 September 2015
Abstract
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.
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