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Partitioned coupling of advection–diffusion–reaction systems and Brinkman flows

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)

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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.

Item Type: Article
Identification Number: 10.1016/j.jcp.2017.05.011
Additional Information: Articolo in rivista
Projects: ERC Starting Grant “Multi-field and multi-scale Computational Apd Durability of PhotoVoltaic Modules” GA 306622., EPSRC research grant EP/R005702/1
Funders: European Research Council, Engineering and Physical Sciences Research Council EPSRC
Uncontrolled Keywords: Advection–reaction–diffusion; Viscous flow in porous media; Primal-mixed finite element methods; Coupling algorithms; Operator splitting
Subjects: T Technology > T Technology (General)
T Technology > TA Engineering (General). Civil engineering (General)
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 28 Mar 2018 13:20
Last Modified: 28 Mar 2018 13:20
URI: http://eprints.imtlucca.it/id/eprint/4065

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