Theory and application of asymptotic numerical method for the incompressible viscous flows

• Project/Area Number: 21560173
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Fluid engineering
• Research Institution: Kyoto University
• Principal Investigator: OHWADA Taku 京都大学, 大学院・工学研究科, 准教授 (40223987)
• Co-Investigator(Renkei-kenkyūsha): PIETRO Asinari Dipartmento di energetica, Politecnico di Torino, Associate Professor
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 擬似圧縮性法 / 非圧縮Navier-Stokes方程式 / 格子ボルツマン法 / 境界条件 / リチャードソン補外 / 非圧縮 / ナヴィエ・ストークス

Research Abstract

A new artificial compressibility method for the incompressible Navier-Stokes equations is developed. This method is Poisson free and provides a suitable algorithm for the parallel computations. Comparisons are made with various existing methods and its performance is shown to be well suited for practical engineering problems with complex geometries. It is theoretically shown that the lattice Boltzmann method essentially solves the same PDE system that the present artificial compressibility method does. The capabilities of these methods are nearly identical and no outcome of the kinetic formulation in the lattice Boltzmann method is found in the present study.

Research Products

• [Journal Article] Link-wise Artificial Compressibility Method (2012)
  • Author(s): P.Asinari, T.Ohwada, E.Chacazzo, A.F.Di Rienzo
  • Journal Title: Journal of Computational Physics Volume: (印刷中) Issue: 15 Pages: 5109-5143
  • DOI: 10.1016/j.jcp.2012.04.027
  • Peer Reviewed
• [Journal Article] Artificial compressibility method and lattice Boltzmann method : Similarities and differences (2011)
  • Author(s): Ohwada T, Asinari P, Yabusaki D
  • Journal Title: COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 巻61号 Issue: 12 Pages: 3461-3474
  • DOI: 10.1016/j.camwa.2010.08.032
  • Peer Reviewed
• [Journal Article] Artificial compressibility method revisited : Asymptotic numerical method for incompressible Navier-Stokes equations (2010)
  • Author(s): Ohwada T, Asinari P
  • Journal Title: JOURNAL OF COMPUTATIONAL PHYSICS Volume: 巻229 Issue: 5 Pages: 1698-1723
  • DOI: 10.1016/j.jcp.2009.11.003
  • Peer Reviewed
• [Journal Article] Artificial compressibility method revisited : Asymptotic numerical method for incompressible Navier-Stokes equations (2010)
  • Author(s): T.Ohwada, P.Asinari
  • Journal Title: Journal of Computational Physics 229 Pages: 1698-1723
  • Peer Reviewed
• [Journal Article] Link-wise artificial compressibility method
  • Author(s): Asinari P, Ohwada T, Chiavazzoa E, Rienzoa A
  • Journal Title: Journal of computational physics
  • URL: http://dx.doi.org/10.1016/j.jcp.2012.04.027
  • Peer Reviewed
• [Journal Article] Artificial Compressibility method and lattice Boltzmann method : Similarities and Differences
  • Author(s): T.Ohwada, P.Asinari, D.Yabusaki
  • Journal Title: Computers & Mathematics with Applications Volume: (印刷中 電子版に掲載)
  • Peer Reviewed
• [Presentation] 非圧縮粘性流れに対する有限体積擬似圧縮性法について (2011)
  • Author(s): 松見優輝
  • Organizer: 第25回数値流体シンポジウム
  • Place of Presentation: 大阪大学茨木キャンパス
  • Year and Date: 2011-12-19
• [Presentation] Artificial compressibility method and lattice Boltzmann method (2011)
  • Author(s): Ohwada T
  • Organizer: DSMC11
  • Place of Presentation: Santa Fe, NM, USA
  • Year and Date: 2011-09-28
• [Presentation] Artificial compressibility method and lattice Boltzmann method (2011)
  • Author(s): T.Ohwada
  • Organizer: DSMC11
  • Place of Presentation: Santa Fe, NM, USA(招待講演)
  • Year and Date: 2011-09-28
• [Presentation] Artificial compressibility method and lattice Boltzmann method II (2011)
  • Author(s): Ohwada T
  • Organizer: International conference on mesoscopic method in eering and sciences 11
  • Place of Presentation: National Institute of Sciences, Lyon, France
  • Year and Date: 2011-07-08
• [Presentation] Artificial compressibility method and lattice Boltzmann method II (2011)
  • Author(s): T.Ohwada
  • Organizer: International conference on mesoscopic methods in engineering and sciences 11
  • Place of Presentation: National Institute of Sciences, Lyon, France
  • Year and Date: 2011-07-08
• [Presentation] 擬似圧縮性法と格子ボルツマン法:類似と相似 (2010)
  • Author(s): 薮崎大輔
  • Organizer: 第24回数値流体シンポジウム
  • Place of Presentation: 慶応大学日吉キャンパス
  • Year and Date: 2010-12-21
• [Presentation] Simple treatment of curved boundary in artificial compressibility method (2010)
  • Author(s): Yabusaki D, Ohwada T, Asinari P
  • Organizer: International conference on mesoscopic methods in engineering and sciences
  • Place of Presentation: University of Alberta, CANADA
  • Year and Date: 2010-07-15
• [Presentation] Kinetic methods in computational fluid dynamics (2010)
  • Author(s): Ohwada T
  • Organizer: International conference on mesoscopic methods in engineering and sciences
  • Place of Presentation: University of Alberta, CANADA
  • Year and Date: 2010-07-14
• [Presentation] Kinetic methods in computational fluid dynamics (2010)
  • Author(s): T.Ohwada
  • Organizer: International conference on mesoscopic methods in engineering and sciences
  • Place of Presentation: University of Alberta, CANADA(招待講演)
  • Year and Date: 2010-07-14
• [Presentation] Kinetic methods in CFD (2010)
  • Author(s): Ohwada T
  • Organizer: Asian computational fluid dynamics conference
  • Place of Presentation: 香港科学技術大学
  • Year and Date: 2010-01-11
• [Presentation] On the potential abilities of artificial compressibility method (2009)
  • Author(s): Ohwada T
  • Organizer: International conference for mesoscopic methods in engineering and science
  • Place of Presentation: 華中科学技術大学
  • Year and Date: 2009-07-17
• [Presentation] On the potential abilities of artificial compressibiolity method (2009)
  • Author(s): T.Ohwada
  • Organizer: International conference for mesoscopic methods in engineering and science
  • Place of Presentation: 華中科学技術大学
  • Year and Date: 2009-07-17