Abstract: In this paper, the coordination of spatial-temporal discrets of FEM and direct integral method is investigates.By analyzing the numespatial-temporal discrete,the principle of balancing the principle of balancing the energy error induced by spatialdiscrete and the energy error induced by temporal discrete is presented, and the prioriprocess and adaptive method for the coordination of spatial discerand temporal discrete is obtained.

Key words: dense, liquid-solid two-phase, turbulent flow, K-ε-T model, FEM, direct integration, spatial-temporal discrete, coordination