Fluid simulation without pressure

Abstract

We suggests a new framework for enforcing the divergence-free condition on a velocity field. In this framework, the incompressibility is achieved by summing all the other nodal vorticities rather than via solving the Poisson equation. Our method is very simple to implement in both two and three dimensions and able to substitute for the conventional pressure projection step of the fluid simulation. In contrast with the pressure projection step, the proposed method can be efficiently parallelizable on multi-core or GPU architectures.