TY - JOUR A1 - Lenarda, Pietro A1 - Paggi, Marco A1 - Ruiz Baier, R. PB - Elsevier SP - 281 Y1 - 2017/// JF - Journal of Computational Physics VL - 344 SN - 0021-9991 N2 - We present a partitioned algorithm aimed at extending the capabilities of existing solvers for the simulation of coupled advection?diffusion?reaction systems and incompressible, viscous flow. The space discretisation of the governing equations is based on mixed finite element methods defined on unstructured meshes, whereas the time integration hinges on an operator splitting strategy that exploits the differences in scales between the reaction, advection, and diffusion processes, considering the global system as a number of sequentially linked sets of partial differential, and algebraic equations. The flow solver presents the advantage that all unknowns in the system (here vorticity, velocity, and pressure) can be fully decoupled and thus turn the overall scheme very attractive from the computational perspective. The robustness of the proposed method is illustrated with a series of numerical tests in 2D and 3D, relevant in the modelling of bacterial bioconvection and Boussinesq systems. TI - Partitioned coupling of advection?diffusion?reaction systems and Brinkman flows AV - none KW - Advection?reaction?diffusion; Viscous flow in porous media; Primal-mixed finite element methods; Coupling algorithms; Operator splitting UR - https://www.sciencedirect.com/science/article/pii/S0021999117303807 N1 - Articolo in rivista ID - eprints4065 EP - 302 ER -