relation: http://eprints.imtlucca.it/4065/
title: Partitioned coupling of advection–diffusion–reaction systems and Brinkman flows
creator: Lenarda, Pietro
creator: Paggi, Marco
creator: Ruiz Baier, R.
subject: T Technology (General)
subject: TA Engineering (General). Civil engineering (General)
description: 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.
publisher: Elsevier
date: 2017
type: Article
type: PeerReviewed
identifier:   Lenarda, Pietro and Paggi, Marco and Ruiz Baier, R.  Partitioned coupling of advection–diffusion–reaction systems and Brinkman flows.  Journal of Computational Physics, 344.  pp. 281-302.  ISSN 0021-9991      (2017)  
relation: https://www.sciencedirect.com/science/article/pii/S0021999117303807
relation: 10.1016/j.jcp.2017.05.011