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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:344

Article

Lenarda, Pietro¹  Paggi, Marco¹  Baier, Ricardo Ruiz² 

[1] IMT Sch Adv Studies Lucca, Res Unit Multiscale Anal Mat MUSAM, Piazza San Francesco 19, I-55100 Lucca, Italy

[2] Univ Oxford, Math Inst, A Wiles Bldg,Radcliffe Observ Quarter, Oxford OX2 6GG, England

关键词: Advection-reaction-diffusion;    Viscous flow in porous media;    Primal-mixed finite element methods;    Coupling algorithms;    Operator splitting;   

DOI  :  10.1016/j.jcp.2017.05.011

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free