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A micropolar material model for turbulent SPH fluids

Bender, J; Kugelstadt, T; Koschier, D; Weiler, M; (2017) A micropolar material model for turbulent SPH fluids. In: Spencer, Stephen N and Thomaszewski, Bernhard and Kangkang, Yin, (eds.) Proceedings of the ACM SIGGRAPH / Eurographics Symposium on Computer Animation (SCA '17). ACM: New York, USA. Green open access

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Abstract

In this paper we introduce a novel micropolar material model for the simulation of turbulent inviscid fluids. The governing equations are solved by using the concept of Smoothed Particle Hydrodynamics (SPH). As already investigated in previous works, SPH fluid simulations suffer from numerical discusion which leads to a lower vorticity, a loss in turbulent details and finally in less realistic results. To solve this problem we propose a micropolar fluid model. The micropolar fluid model is a generalization of the classical Navier-Stokes equations, which are typically used in computer graphics to simulate fluids. In contrast to the classical Navier-Stokes model, micropolar fluids have a microstructure and therefore consider the rotational motion of fluid particles. In addition to the linear velocity field these fluids also have a field 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 fluids, we introduce a novel modified micropolar material for inviscid fluids 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.

Type: Proceedings paper
Title: A micropolar material model for turbulent SPH fluids
Event: SCA '17, 28-30 July 2017, Los Angeles, CA, USA
ISBN-13: 9781450350914
Open access status: An open access version is available from UCL Discovery
DOI: 10.1145/3099564.3099578
Publisher version: https://doi.org/10.1145/3099564.3099578
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Smoothed Particle Hydrodynamics, micropolar fluids, turbulence, incompressible fluids
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10056697
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