Abstract In this work, the recent development of numerical methods for gas-solid particle system issummarized. Fristly, the two-fluid model under Euler-Eulerian framework, discrete bubble model under lagrange-Eulerian framework, and the computational fluid dynamics and discrete element method coupled model (CFD-DEM) model from macro, meso and DNS(Direct Numerical Simulation) method under Euler-Lagrangian framework are analyzed and compared in terms of principle, computational loads, numerical precision and application prospects. Next, the two-fluid and CFD-DEM models were discussed in details for their promising engineering application prospects with the emphasis on the implant process under Eulerian architecture, the descriptions and models of the particle dynamical process, the micro-behaviors and the inter-phase coupling process. The coupling model of universal multiphase architecture based on Euler-Lagrangian method and its application in simulation has gradually been changing from academic to engineering scale, hence the multi phase particles system is becoming future research hotspot.
