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

Abstract EN

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.