An efficient multi-dimensional implementation of VSIAM3 and its applications to free surface flows

Yokoi, Kensuke ORCID: https://orcid.org/0000-0001-7914-6050, Furuichi, Mikito and Sakai, Mikio 2017. An efficient multi-dimensional implementation of VSIAM3 and its applications to free surface flows. Physics of Fluids 29 (12) , 121611. 10.1063/1.4996183

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Abstract

We propose an efficient multidimensional implementation of VSIAM3 (volume/surface integrated average-based multi-moment method). Although VSIAM3 is a highly capable fluid solver based on a multi-moment concept and has been used for a wide variety of fluid problems, VSIAM3 could not simulate some simple benchmark problems well (for instance, lid-driven cavity flows) due to relatively high numerical viscosity. In this paper, we resolve the issue by using the efficient multidimensional approach. The proposed VSIAM3 is shown to capture lid-driven cavity flows of the Reynolds number up to Re = 7500 with a Cartesian grid of 128 × 128, which was not capable for the original VSIAM3. We also tested the proposed framework in free surface flow problems (droplet collision and separation of We = 40 and droplet splashing on a superhydrophobic substrate). The numerical results by the proposed VSIAM3 showed reasonable agreements with these experiments. The proposed VSIAM3 could capture droplet collision and separation of We = 40 with a low numerical resolution (8 meshes for the initial diameter of droplets). We also simulated free surface flows including particles toward non-Newtonian flow applications. These numerical results have showed that the proposed VSIAM3 can robustly simulate interactions among air, particles (solid), and liquid.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	Q Science > QA Mathematics Q Science > QC Physics T Technology > T Technology (General)
Publisher:	American Institute of Physics (AIP)
ISSN:	1070-6631
Date of First Compliant Deposit:	7 November 2017
Date of Acceptance:	4 November 2017
Last Modified:	26 Nov 2024 21:15
URI:	https://orca.cardiff.ac.uk/id/eprint/106604

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