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.
Skip Nav Destination
Article navigation
December 2017
Research Article|
December 05 2017
An efficient multi-dimensional implementation of VSIAM3 and its applications to free surface flows
Kensuke Yokoi
;
Kensuke Yokoi
a)
1
School of Engineering, Cardiff University
, Cardiff CF24 3AA, United Kingdom
Search for other works by this author on:
Mikito Furuichi;
Mikito Furuichi
2
Department of Mathematical Science and Advanced Technology, Japan Agency for Marine-Earth Science and Technology (JAMSTEC)
, 3173-25, Showa-Machi, Kanazawa, Yokohama, Japan
Search for other works by this author on:
Mikio Sakai
Mikio Sakai
3
Resilience Engineering Research Center, School of Engineering, The University of Tokyo
, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
Search for other works by this author on:
a)
Author to whom correspondence should be addressed: [email protected]. Tel.: +44-29-20870844. Fax: +44-29-20874716.
Physics of Fluids 29, 121611 (2017)
Article history
Received:
July 14 2017
Accepted:
November 04 2017
Citation
Kensuke Yokoi, Mikito Furuichi, Mikio Sakai; An efficient multi-dimensional implementation of VSIAM3 and its applications to free surface flows. Physics of Fluids 1 December 2017; 29 (12): 121611. https://doi.org/10.1063/1.4996183
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
On Oreology, the fracture and flow of “milk's favorite cookie®”
Crystal E. Owens, Max R. Fan (范瑞), et al.
Chinese Academy of Science Journal Ranking System (2015–2023)
Cruz Y. Li (李雨桐), 李雨桐, et al.
Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations
Hamidreza Eivazi, Mojtaba Tahani, et al.
Related Content
Numerical simulation of free surface flow using a multiphase model with higher order scheme
AIP Conf. Proc. (October 2018)
Numerical studies of the influence of the dynamic contact angle on a droplet impacting on a dry surface
Physics of Fluids (July 2009)
Anti-diffusion method for coupled level set and volume of fluid, volume of fluid, and tangent of hyperbola for interface capturing methods
Physics of Fluids (September 2024)
Boundary variation diminished conservative semi-Lagrangian method for both compressible and incompressible flows
Physics of Fluids (November 2021)
Preface to Special Topic: Papers from the Institute of Non-Newtonian Fluid Mechanics Meeting, Lake Vyrnwy, 2017
Physics of Fluids (December 2017)