Abstract: Based on three-dimensional numerical calculation, the simulating transportation of smoke-dust was realized. Rapid and stable numerical solution is the key to achieve successful dynamic simulation. In the paper, the corresponding mathematical model was studied firstly, and then the semi-Lagrangian method was used to solve the equations. In the process of solving equations, a splitting-approach was adopted to achieve the component equations, and then the semi-Lagrangian method was used to solve both transient and convection terms. The projection algorithm constraint-based was adopted to solve the pressure equation for incompressible fluid. The study only realized the numerical simulation for a simple cube space. Simulation results are displayed by OpengGL programming in terms of three-dimensional flow field and the distribution of smoke-dust concentrations. The stable and fast solution can be achieved by using the method described herewith.