Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

On the Development of a Numerical Model for the Simulation of Air Flow in the Human Airways
Lancmanová A., Bodnár T., Sequeira A.
Abstract:
This contribution reports on an ongoing study focusing on reduced order models for incompressible viscous fluid flow in two dimensional channels. A finite difference solver was developed using a simple implementation of the immersed boundary method to represent the channel geometry. The solver was validated for unsteady flow by comparing the obtained two-dimensional numerical solutions with analytical profiles computed from the Womersley solution. Finally the 2D model was coupled to a simple 1D extension simulating the flow in axisymmetric elastic vessel (tube). Some of the coupling principles and implementation issues are discussed in detail.
Keywords:
reduced order model, incompressible Navier-Stokes equations, finite difference approximation, coupling method

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2023.016

In Proceedings Topical Problems of Fluid Mechanics 2023, Prague, 2023, Edited by David Šimurda and Tomáš Bodnár, pp. 112 ISBN 978-80-87012-83-3 (Print) ISSN 2336-5781 (Print)