During lunar landings, the engine plume impinges the lunar surface, stirring up lunar dust. To analyze the impact of lunar dust throughout the entire landing process and provide researchers with reliable dust visualization, transient calculations for lunar dust are necessary. Direct simulation Monte Carlo (DSMC) simulations for the plume field demand significant computational resources, making efficient transient calculations impractical. In this study, the first step involved precalculating the flow field for different altitudes and angles within the specified range. Subsequently, by decoupling the motion of lunar dust particles from lunar soil erosion and utilizing interpolation and coordinate transformations based on flow field data, transient calculations of lunar dust were achieved. Analyzing particle results yielded distribution patterns at various altitudes, forming the foundation for assessing and mitigating the hazards posed by lunar dust. Additionally, this research establishes the groundwork for real-time simulation of lunar dust distribution during landing processes.