Fluid Dynamic Simulation for Cutting in Virtual Environment

Abstract

In this paper, we introduce a 3D fluid dynamics solver for real-time interactions in virtual environment. We approach the solution of differential equations based on the cubic interpolated propagation (CIP) technique on GPU. Since the CIP combine the solution for fluid equations and their interactions with the environment together, the Navier-Stokes equation can be solved efficiently. Furthermore, to achieve high performance results without involving a supercomputer, we take advantage of the parallelism and programmability of the GPU. Simulation is performed on pixels that can be considered to be a grid of cells; therefore processing on multiple vertices and pixels can be done simultaneously in parallel. This strategy is effective enough to simulate fluid dynamic model for real-time virtual cutting in 3D computer graphic. Experimental results demonstrate that the skin cutting followed by blood flowing over the anatomical surface run smoothly in a real-time interaction and realistic visual effect is achieved.