A fluid sheath model of a cylindrical concave electrode and the distribution of the dust particles in the sheath have been stimulated. Factors, such as the number and the size of the dust particles, and the size of the electrode, which affect the distribution of the dust particles are considered. The result shows that the sheath is thin if the density of the plasma is high; otherwise, the sheath is thick. And structure of one level is formed if the number of the dust is small, while multilevel structure is formed if the number of the dust is large. With various sizes of the electrode, the dust shows complex and interesting structures.