The objective of this paper is to investigate the dynamic behaviors of a single bubble near the rigid boundary via computational method, especially for the dynamics of shock waves and high-speed liquid jet.In the numerical simulations, a three dimensional one-fluid model with reformulated mass conservation equation considering the compressibility, is introduced to regulate the coupling between pressure and flow velocity in the momentum equation to be critical in accurately capturing the temporal evolution of the bubble, and the corresponding fluid density and pressure dynamics.Compared with the experimental spark-generated bubble visualization, it is shown there is a general agreement between the numerical and experimental temporal bubble shape.The temporal evolution of the bubble can be divided into two stages, namely shrinking and collapse stages.During the shrinking stage, a robust shock wave is emitted from the collapsing bubble, propagating outwards from the bubble, reflecting from the wall, and dissipating at far field.For the collapse stage, the jet-impact-induced shock wave is clearly captured before the bubble reaching to the minimum volume.Besides, high pressure region above the top margin of bubbles contributes to the formation of high-speed liquid jet, splitting of the bubble, and the rebound of sub-bubbles.