A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media

A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media

Year:    2021

Author:    Peiyao Liu, Peng Wang, Long Jv, Zhaoli Guo

Communications in Computational Physics, Vol. 29 (2021), Iss. 1 : pp. 265–291

Abstract

In this paper, the discrete unified gas-kinetic scheme (DUGKS) is extended to the convection heat transfer in porous media at representative elementary volume (REV) scale, where the changes of velocity and temperature fields are described by two kinetic equations. The effects from the porous medium are incorporated into the method by including the porosity into the equilibrium distribution function, and adding a resistance force in the kinetic equation for the velocity field. The proposed method is systematically validated by several canonical cases, including the mixed convection in porous channel, the natural convection in porous cavity, and the natural convection in a cavity partially filled with porous media. The numerical results are in good agreement with the benchmark solutions and the available experimental data. It is also shown that the coupled DUGKS yields a second-order accuracy in both temporal and spatial spaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2019-0200

Communications in Computational Physics, Vol. 29 (2021), Iss. 1 : pp. 265–291

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    Coupled discrete unified gas-kinetic scheme generalized Navier-Stokes equations porous media convection heat transfer.

Author Details

Peiyao Liu

Peng Wang

Long Jv

Zhaoli Guo

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