Abstract
We study a system of partial differential equations that model a macroscopic porous medium biofilm reactor. Solutions to the system are calculated numerically using the second order Uniformly accurate Central Scheme. We investigate and compare two different growth rate functions, first order and Monod kinetics. Although the reactor quickly becomes substrate limiting, a first order approximation of Monod kinetics leads to estimation errors in the reactor.
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Gaebler, H.J., Eberl, H.J. (2018). First Order Versus Monod Kinetics in Numerical Simulation of Biofilms in Porous Media. In: Kilgour, D., Kunze, H., Makarov, R., Melnik, R., Wang, X. (eds) Recent Advances in Mathematical and Statistical Methods . AMMCS 2017. Springer Proceedings in Mathematics & Statistics, vol 259. Springer, Cham. https://doi.org/10.1007/978-3-319-99719-3_32
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