Development of numerical method for simulating supersonic aerodynamic sound using new type of kinetic equation

• Project/Area Number: 22760132
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Fluid engineering
• Research Institution: Kobe University
• Principal Investigator: KATAOKA Takeshi 神戸大学, 大学院・工学研究科, 准教授 (20273758)
• Project Period (FY): 2010 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000); Fiscal Year 2011: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000); Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 音響 / 格子ボルツマン法 / 運動学的方程式 / 数値計算 / 流体音 / 超音速流

Research Abstract

We have devised a new simple kinetic-equation model which can simulate supersonic flows and aerodynamic sound. This model is based on the free-molecular-type kinetic equation whose calculation system was constructed by Sone in 2002. Various numerical simulations are carried out to confirm that this model can compute supersonic flows and show that numerical results agree with the corresponding solutions of the compressible Navier-Stokes and Euler equations.

Research Products

• [Journal Article] Gas-flow simulations by novel lattice Boltzmann method (2011)
  • Author(s): T. Kataoka
  • Journal Title: Theoretical and Applied Mechanics Volume: Vol.59 Pages: 221-227
  • NAID: 130004463771
  • Peer Reviewed
• [Journal Article] Gas-flow simulations by novel lattice Boltzmann method (2011)
  • Author(s): T.Kataoka
  • Journal Title: Theoretical and Applied Mechanics Volume: 60 Pages: 43-50
  • NAID: 130004463771
  • Peer Reviewed
• [Journal Article] Gas-flow simulations by novel lattice Boltzmann method (2011)
  • Author(s): Takeshi KATAOKA
  • Journal Title: Theoretical and Applied Mechanics Volume: 59 Pages: 221-227
  • NAID: 130004463771
  • Peer Reviewed
• [Journal Article] Simulations of supersonic flows using new kinetic scheme based on the free-molecular-type equation (2010)
  • Author(s): T. Kataoka
  • Journal Title: Proceedings of 17th Australasian Fluid Mechanics Conference Volume: No.229 Pages: 4-4
  • Peer Reviewed
• [Journal Article] Simulations of supersonic flows using new kinetic scheme based on the free-molecular-type equation (2010)
  • Author(s): Takeshi KATAOKA
  • Journal Title: Proceedings of 17th Australasian Fluid Mechanics Conference
  • Peer Reviewed
• [Presentation] Simulations of supersonic flows using new kinetic scheme based on the free-molecular-type equation (2010)
  • Author(s): Takeshi KATAOKA
  • Organizer: 17th Australasian Fluid Mechanics Conference, Auckland, New Zealand
  • Place of Presentation: Auckland, (New Zealand)(招待講演)
  • Year and Date: 2010-12-06
• [Presentation] 自由分子型運動学的方程式を用いた気体流れの数値計算法 (2010)
  • Author(s): 片岡武
  • Organizer: 第59回理論応用力学講演会
  • Place of Presentation: 日本学術会議(東京都港区)(招待講演)
  • Year and Date: 2010-06-09