It has been considered that patterns of limiting streamlines are deeply related to a formulation of longitudinal vortex around a hull. Several approaches visualize the patterns on the surface have been proposed in experiments and CFD computations. It is not easy to efficiently obtain limiting streamlines owing to several issues on the conventional visualization techniques. In additions, considering the quantitative feature of the visualized results, a certain type of visualization error will be produced in the case of the hull that its shape is long in the streamwise direction. In practical cases, it has been reported that the patterns of limiting streamlines depend on the visualization software to be utilized. In this paper, firstly, we develop a visualization technique of limiting streamlines using PEM (Pixel Exposure Method) to overcome the drawbacks of the conventional methods. Secondly, numerical errors in such visualization are pointed out, and propose a way to reduce the visualization errors. We will visualize several results obtained from the Direct Numerical Simulation (DNS) by proposed method. It will be shown that our procedure of the visualization which the whole region of the surface is visualized by PEM and the detail is explored by a highly accurate particle tracking is suitable for inquiring a structure of the flow fields.