Split operator finite element method for modelling pulmonary gas exchange

Georgina Juanita Bignell, Peter R Johnston

Abstract


A pulmonary gas exchange model which contains six species of interest in three different regions is considered. The model leads to a system of coupled non-linear parabolic partial differential equations and is solved using a transport-reaction split operator scheme. A Galerkin weighted residual finite element method solves the transport algorithm while a simple forward time step is used for the reaction algorithm. Using different time scales for the transport and reaction algorithms, we obtain a reasonable approximation of gas exchange.

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DOI: http://dx.doi.org/10.21914/anziamj.v48i0.125



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.