  The focus of this paper is the numerical solution of a pore-scale model for
the growth of a permeable biofilm. The model includes water flux inside the
biofilm, different biofilm components, and shear stress on the biofilm-water
interface. To solve the resulting highly coupled system of model equations, we
propose a splitting algorithm. The Arbitrary Lagrangian Eulerian (ALE) method
is used to track the biofilm-water interface. Numerical simulations are
performed using physical parameters from the existing literature. Our
computations show the effect of biofilm permeability on the nutrient transport
and on its growth.
