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

Abstract

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 Pr=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 Pr=0.054 and Rayleigh number Ra=5×104 for Hartmann number Ha 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.