Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters

Baird, G. R.; Bürger, Raimund; Méndez, Paul E.; Ruiz–Baier, Ricardo

doi:10.1007/s00211-020-01169-1

Numer. Math.

2021

DOI: 10.1007/s00211-020-01169-1

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Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters

G. R. Baird

Raimund Bürger

Paul E. Méndez

et al.

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Cited by 5 publications

References 53 publications

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A divergence‐conforming method for flow and double‐diffusive transport

Bürger,

Khan,

Méndez

et al. 2024

Proc Appl Math and Mech

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The results of a recent extension of the analysis of an ‐conforming method for a model of double‐diffusive flow in porous media introduced in [Bürger, Méndez, Ruiz‐Baier, SINUM (2019), 57:1318–1343] to the time‐dependent case are summarized. These include the efficiency and reliability of residual‐based a posteriori error estimators for the steady, semi‐discrete, and fully discrete problems. The method consists of Brezzi–Douglas–Marini approximations for velocity and compatible piecewise discontinuous pressures, whereas Lagrangian elements are used for concentration and salinity. Novel numerical tests confirm the accuracy of the method and illustrate its application to a salinity‐driven problem of sedimentation.

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A divergence‐conforming method for flow and double‐diffusive transport

Bürger,

Khan,

Méndez

et al. 2024

Proc Appl Math and Mech

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show abstract

Mixed approximation of the axisymmetric acoustic eigenvalue problem

Querales

Venegas

2022

Computers & Mathematics with Applications

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Second-order numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media

Liu

Chen

Wang

et al. 2023

Journal of Computational Physics

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Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters

Cited by 5 publications

References 53 publications

A divergence‐conforming method for flow and double‐diffusive transport

A divergence‐conforming method for flow and double‐diffusive transport

Mixed approximation of the axisymmetric acoustic eigenvalue problem

Second-order numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media

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