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Construction of lattice-Boltzmann method for direct simulation of the interaction between a gas-liquid interface and sound

Research Project

Project/Area Number 18K03930
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 19010:Fluid engineering-related
Research InstitutionKobe University

Principal Investigator

Kataoka Takeshi  神戸大学, 工学研究科, 准教授 (20273758)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2022: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords流体音 / 気液界面 / 数値計算法 / 音波 / 数値計算 / 水面波 / 格子ボルツマン法 / 波動
Outline of Final Research Achievements

We have developed a two-dimensional LBM model that can simulate interaction of a water droplet with sound by introducing two different kinds of particles for the liquid and gaseous phases. The most striking difference between the liquid and gaseous phases is their density and compressibility, and their differences are modeled by the use of appropriate intermolecular forces. With these modifications being incorporated, a newly developed LBM model is able to simulate a collision of a droplet and quiescent surface appropriately. Specifically, the underwater sound was generated by the collision of the droplet with the water surface and it propagates either in a droplet and liquid phase, as well as into the air. At the same time, small air bubbles are generated and thus make the sound propagation to be a dipole type.

Academic Significance and Societal Importance of the Research Achievements

気液界面から発する空中音ならびに水中音,あるいはこれらの音と気液界面との相互作用は,多くの解明すべき問題が残っており,その詳細を調べる方法として,数値シミュレーションが有力である。
本研究の学術的意義は,格子ボルツマン法を導入することにより,これらの要素をひとつのモデルの中に組み込み,これらの要素を同時に直接シミュレーションできる手法を開発した点にある。気液界面の様々な要素が複雑に絡みあった気液界面と音波との相互干渉現象を解明する上において強力な解析手段が与えられたことになる。

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (12 results)

All 2021 2019 2018 Other

All Int'l Joint Research (3 results) Journal Article (6 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 6 results) Presentation (3 results) (of which Int'l Joint Research: 1 results)

  • [Int'l Joint Research] MIT(米国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] リヨン大学(フランス)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] MIT(米国)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Lattice Boltzmann method for compressible Euler equations based on exact kinetic system2021

    • Author(s)
      Hanada Takaya、Kataoka Takeshi
    • Journal Title

      International Journal for Numerical Methods in Fluids

      Volume: 93 Issue: 8 Pages: 2554-2569

    • DOI

      10.1002/fld.4987

    • NAID

      120007098981

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Long-time dynamics of internal wave streaming2021

    • Author(s)
      T.Jamin, T.Kataoka, T.Dauxois, and T.R. Akylas
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 907

    • DOI

      10.1017/jfm.2020.806

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] New lattice Boltzmann model for the compressible Navier-Stokes equations2019

    • Author(s)
      T.Kataoka and T.Hanada
    • Journal Title

      International Journal for Numerical Methods in Fluids

      Volume: 91 Issue: 4 Pages: 183-197

    • DOI

      10.1002/fld.4748

    • NAID

      120007028995

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] On three-dimensional internal gravity wave beams and induced large-scale mean flows2019

    • Author(s)
      T.Kataoka, T.R.Akylas
    • Journal Title

      Studies in Applied Mathematics

      Volume: 142 Issue: 4 Pages: 419-432

    • DOI

      10.1111/sapm.12257

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical simulation of compressible flows using the free-molecular-type LBM2018

    • Author(s)
      T.Hanada, T.Kataoka
    • Journal Title

      The 29th International Symposium on Transport Phenomena (ISTP29)

      Volume: -

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] The Stability of Internal Gravity Waves of Finite Width2018

    • Author(s)
      T.Hanada, T.Kataoka
    • Journal Title

      Theoretical and Applied Mechanics Japan

      Volume: 64 Issue: 0 Pages: 9-14

    • DOI

      10.11345/nctam.64.9

    • NAID

      130007583662

    • ISSN
      1348-0693, 1349-4244
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 自由分子型運動学的方程式を基とした圧縮性流れの格子ボルツマン法2021

    • Author(s)
      片岡 武
    • Organizer
      第35回数値流体力学シンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] 圧縮性NS方程式系に対する新しい運動学的方程式モデル2019

    • Author(s)
      片岡武,花田卓也
    • Organizer
      第33回数値流体力学シンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] Transverse Instability of Surface Solitary Waves and Breaking2018

    • Author(s)
      T.Kataoka
    • Organizer
      Workshop on Nonlinear Water Waves, Kyoto
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2024-01-30  

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