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Lattice Boltzmann for Free Surface Flows

A special issue of Water (ISSN 2073-4441). This special issue belongs to the section "Hydraulics and Hydrodynamics".

Deadline for manuscript submissions: closed (30 November 2019) | Viewed by 5068

Special Issue Editors


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Guest Editor
Department of Engineering, University of Rome “Roma Tre”, Via della Vasca Navale 79, 00141 Rome, Italy
Interests: shallow water flows; lattice boltzmann method; discrete boltzmann method; multi-layered shallow water flows; shallow granular flows

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Guest Editor
Department of Engineering, University of Rome “Roma Tre”, Via della Vasca Navale 79, 00141 Rome, Italy
Interests: flood modelling; environmental flows; Lattice Boltzmann Method; Multiphase flows; density driven flows; shallow water flows; mixing in estuaries; flow induced vibrations; droplet dynamics

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Guest Editor
Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy
Interests: non-equilibrium, rarefied flows, reactive flows in complex media, self-assembly and many-body dynamics in high internal phase emulsions and foams
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We encourage you to submit papers to an important Special Issue of Water focused on the application of Lattice Boltzmann (LBM) and Discrete Boltzmann (DBM) methods to free surface flows. Both LBM and DBM are nowadays consolidated and efficient computational methods, based on the kinetic theory of Boltzmann, which allow the simulation of a broad variety of fluid flows. Among them, free surface flows occur extensively in the environmental hydraulics. Based on the prevailing spatial scales, they can be modelled as fully 3D or as shallow flows. The former approach allows for the investigation of small scale phenomena, while the latter can give important technical information over large domains.

Papers for this Special Issue should be aimed at showing the versatility and the broad variety of the applicability of LBM and DBM in the free surface fluid dynamics. Additionally, papers can be addressed at advanced free surface flows simulations as advection-diffusion of contaminants in water bodies, multi-layered shallow water flows, shallow granular flows, buoyancy driven flows, etc. Case studies are suitable but must substantively contribute to a broader understanding of this topic.

Prof. Dr. Michele La Rocca
Dr. Pietro Prestininzi
Dr. Andrea Montessori
Guest Editors

Manuscript Submission Information

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Keywords

  • free surface water flows
  • Lattice Boltzmann Method
  • Discrete Boltzmann method
  • multi-layered shallow water flows
  • shallow granular flows
  • buoyancy driven flows

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Published Papers (1 paper)

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Research

21 pages, 3203 KiB  
Article
MRT-Lattice Boltzmann Model for Multilayer Shallow Water Flow
by Kevin R. Tubbs and Frank T.-C. Tsai
Water 2019, 11(8), 1623; https://doi.org/10.3390/w11081623 - 6 Aug 2019
Cited by 10 | Viewed by 4360
Abstract
The objectives of this study are to introduce a multiple-relaxation-time (MRT) lattice Boltzmann model (LBM) to simulate multilayer shallow water flows and to introduce graphics processing unit (GPU) computing to accelerate the lattice Boltzmann model. Using multiple relaxation times in the lattice Boltzmann [...] Read more.
The objectives of this study are to introduce a multiple-relaxation-time (MRT) lattice Boltzmann model (LBM) to simulate multilayer shallow water flows and to introduce graphics processing unit (GPU) computing to accelerate the lattice Boltzmann model. Using multiple relaxation times in the lattice Boltzmann model has an advantage of handling very low kinematic viscosity without causing a stability problem in the shallow water equations. This study develops a multilayer MRT-LBM to solve the multilayer Saint-Venant equations to obtain horizontal flow velocities in various depths. In the multilayer MRT-LBM, vertical kinematic viscosity forcing is the key term to couple adjacent layers. We implemented the multilayer MRT-LBM to a GPU-based high-performance computing (HPC) architecture. The multilayer MRT-LBM was verified by analytical solutions for cases of wind-driven, density-driven, and combined circulations with non-uniform bathymetry. The results show good speedup and scalability for large problems. Numerical solutions compared well to the analytical solutions. The multilayer MRT-LBM is promising for simulating lateral and vertical distributions of the horizontal velocities in shallow water flow. Full article
(This article belongs to the Special Issue Lattice Boltzmann for Free Surface Flows)
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