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 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 . 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 and Rayleigh number for Hartmann number up to . 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.