Based on the theory of water-sediment two-phase flow,Eulerian multiphase model and mixture model were developed.A full Eulerian multiphase model may not be feasible for its complexity,so a simplified Eulerian multiphase model was applied in which the interface force of two phases only depends the friction.The mixture algebraic slip model(MASM) was developed from the Eulerian multiphase model.The simplified Eulerian multiphase model and MASM were applied to simulate 2-D turbid density current in a reservoir.By the analysis of the results of numerical simulation and experiment,MASM is more suitable for the turbid density current.The main reason is that the following behavior of suspended particles in MASM is better than in the simplified Eulerian multiphase model.