Investigation of the MRT-LBM with and without free surface flows: Validation in classical benchmark problems

Kenta Sato, Shunichi Koshimura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The lattice Boltzmann method (LBM) is an alternative simulation tool describing incompressible fluids. In recent years, it has become clear that the lattice BGK model has limitations for high-accuracy calculations. By contrast, the advanced multiple-relaxation-time (MRT) model is attracting more attention to overcome the defects of the BGK model. The objectives of this study are to verify and validate the MRT-LBM with and without free surface flows. We have performed (i) a comparison of the MRT-LBM and BGK-LBM to clarify the accuracy in two-dimensional cavity flows, (ii) a numerical simulation with the MRT-LBM's free surface model in standing waves benchmark problem. We found that the MRT-LBM has superior accuracy over the BGK-LBM in the cavity flows even in solid wall boundaries. Moreover, the MRT-LBM can controlled the compressibility drop in the 2nd order value of the Mach number in free surface flow.

Original languageEnglish
Title of host publicationProceedings of the 6th European Conference on Computational Mechanics
Subtitle of host publicationSolids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018
EditorsRoger Owen, Rene de Borst, Jason Reese, Chris Pearce
PublisherInternational Centre for Numerical Methods in Engineering, CIMNE
Pages4253-4264
Number of pages12
ISBN (Electronic)9788494731167
Publication statusPublished - 2020 Jan 1
Event6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 - Glasgow, United Kingdom
Duration: 2018 Jun 112018 Jun 15

Publication series

NameProceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018

Conference

Conference6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018
CountryUnited Kingdom
CityGlasgow
Period18/6/1118/6/15

Keywords

  • Free surface flows
  • Lid-driven cavity flows
  • Standing waves analysis
  • The lattice Boltzmann method
  • The multiple-relaxation-time model

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Mechanics of Materials
  • Mechanical Engineering

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