https://drive.google.com/file/d/0B9N6z_bRVUMmbWU0UW13ZFoyTDA/view

"In this paper we introduce a novel micropolar material model forthe simulation of turbulent inviscid uids. The governing equations

are solved by using the concept of Smoothed Particle Hydrody-

namics (SPH). As already investigated in previous works, SPH uid

simulations suer from numerical diusion which leads to a lower

vorticity, a loss in turbulent details and nally in less realistic results.

To solve this problem we propose a micropolar uid model. The

micropolar uid model is a generalization of the classical Navier-

Stokes equations, which are typically used in computer graphics

to simulate uids. In contrast to the classical Navier-Stokes model,

micropolar uids have a microstructure and therefore consider the

rotational motion of uid particles. In addition to the linear velocity

eld these uids also have a eld of microrotation which represents

existing vortices and provides a source for new ones. However, clas-

sical micropolar materials are viscous and the translational and the

rotational motion are coupled in a dissipative way. Since our goal

is to simulate turbulent uids, we introduce a novel modied mi-

cropolar material for inviscid uids with a non-dissipative coupling.

Our model can generate realistic turbulences, is linear and angular

momentum conserving, can be easily integrated in existing SPH

simulation methods and its computational overhead is negligible."