Turbulence Enhancement for SPH Fluids Visualization

In this paper, we present a novel method to restore turbulence details for Smoothed Particle Hydrodynamics (SPH) using the viscosity based vorticity field as a cooperative project of numerical simulation and computer visualization. One of the major issues that hinder the accuracy of the fluid simulation is the numerical dissipation, which comes along with the discretization of space and time. Therefore unrealistic results are unavoidable. To recover kinetic energy from the numerical dissipation, we propose a vorticity refinement solver for SPH fluids without extra restriction to the time step. In our method, the vorticity field of the fluid is enhanced proportional to the loss of energy due to the viscosity force. This means our method not only can increase existing vortices but also creating additional turbulence. Compared with Biot-Savart integrals, our method is more efficient by applying stream function to recover the velocity field from the vorticity field.