Figure 1: Our novel micropolar uid model allows the simulation of complex turbulent uids with static and dynamic boundaries. Left: A turbulent river with 12 million uid particles ows through a complex static boundary. Right: One million uid particles interact with a fast rotating propeller. In this paper we introduce a novel micropolar material model for the simulation of turbulent inviscid uids. The governing equations are solved by using the concept of Smoothed Particle Hydrodynamics (SPH). As already investigated in previous works, SPH uid simulations su er from numerical di usion 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 NavierStokes 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, classical 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 modi ed micropolar material for inviscid uids with a non-dissipative coupling. Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for pro t or commercial advantage and that copies bear this notice and the full citation on the rst page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior speci c permission and/or a fee. Request permissions from permissions@acm.org. SCA '17, Los Angeles, CA, USA © 2017 ACM. 978-1-4503-5091-4/17/07. . . $15.00 DOI: 10.1145/3099564.3099578 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.
Although not intended for the simulation of highly viscous fluids, Bender et al. REF proposed a micropolar constitutive model to simulate turbulent flow.
A micropolar material model for turbulent SPH fluids
SCA '17
Physics Computer Science