eprintid: 4065
rev_number: 8
eprint_status: archive
userid: 69
dir: disk0/00/00/40/65
datestamp: 2018-03-28 13:20:52
lastmod: 2018-03-28 13:20:52
status_changed: 2018-03-28 13:20:52
type: article
metadata_visibility: show
creators_name: Lenarda, Pietro
creators_name: Paggi, Marco
creators_name: Ruiz Baier, R.
creators_id: 
creators_id: marco.paggi@imtlucca.it
creators_id: 
title: Partitioned coupling of advection–diffusion–reaction systems and Brinkman flows
ispublished: pub
subjects: T1
subjects: TA
divisions: CSA
full_text_status: none
keywords: Advection–reaction–diffusion; Viscous flow in porous media; Primal-mixed finite element methods; Coupling algorithms; Operator splitting
note: Articolo in rivista
abstract: 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.
date: 2017
date_type: published
publication: Journal of Computational Physics
volume: 344
publisher: Elsevier
pagerange: 281-302
id_number: 10.1016/j.jcp.2017.05.011
refereed: TRUE
issn: 0021-9991
official_url: https://www.sciencedirect.com/science/article/pii/S0021999117303807
funders: European Research Council
funders: Engineering and Physical Sciences Research Council EPSRC
projects: ERC Starting Grant “Multi-field and multi-scale Computational Apd Durability of PhotoVoltaic Modules” GA 306622.
projects: EPSRC research grant EP/R005702/1
citation:   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)