Double-Population Link-Wise Artificial Compressibility Method for Simulating Two-Dimensional Magnetoconvection

The recently developed Link-Wise Artificial Compressibility Method (LW-ACM) with double population is presented, validated, and then applied to magnetoconvective flow. The validation step evolves in two stages. First of all, we used the problem of mixed convection over a vertical duct preceded by a...

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Bibliographic Details
Published in:Mathematical problems in engineering 2019-01, Vol.2019 (2019), p.1-11
Main Authors: Hamdi, Mohamed, Ben Nasrallah, Sassi, Elalimi, Souheil
Format: Article
Language:English
Subjects:
Accuracy
Compressibility
Computer simulation
Convection
Field strength
Hartmann number
Magnetic fields
Magnetism
Mathematical models
Model accuracy
Prandtl number
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Summary:The recently developed Link-Wise Artificial Compressibility Method (LW-ACM) with double population is presented, validated, and then applied to magnetoconvective flow. The validation step evolves in two stages. First of all, we used the problem of mixed convection over a vertical duct preceded by a sudden expansion in order to validate the multiple relaxation times (MRT) code. Then, we explore the accuracy and the performance of the LW-ACM versus the MRT model and the classic Bhatnagar-Gross-Krook (BGK) model by using a differentially heated cavity problem for Prandtl number P r = 0.71 . The numerical results for values of Nusselt numbers and process time clearly showed the accuracy and the efficiency of LW-ACM. The adequate accuracy of the proposed model encouraged us to apply it to a magnetoconvection problem. Dynamic and thermal fields are presented and analyzed at P r = 0.054 and Rayleigh number R a = 5 × 10 4 for Hartmann number H a up to 60 . Results revealed that the effects of magnetic fields on dynamic and thermal fields are important and that the heat transfer in the cavity is a decreasing function of magnetic field strength.
ISSN:1024-123X
1563-5147
DOI:10.1155/2019/7834731