Modelling and Numerics for Respiratory Aerosols. (14th September 2015)

• Record Type: Journal Article
• Authors: Boudin, Laurent; Grandmont, Céline; Lorz, Alexander; Moussa, Ayman
• Is Part Of: Communications in computational physics. Volume 18:Number 3(2015:Sep.)
• Page Start: 723
• Page End: 756
• Publication Date: 2015-09-14
• Subjects: 65M60, -- 35Q30, -- 35Q83, -- 35Q92; Aerosols, -- Navier-Stokes-Vlasov system, -- discretization, -- finite-element method, -- particle-in-cell method, -- stability properties; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.180714.200415a
• Languages: English
• ISSNs: 1815-2406

Abstract

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.