Mathematical and numerical analysis of shock waves in real gases

• Project/Area Number: 24760055
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Applied physics, general
• Research Institution: Kitakyushu National College of Technology (2014); Nagoya Institute of Technology (2012-2013)
• Principal Investigator: TANIGUCHI Shigeru 北九州工業高等専門学校, 制御情報工学科, 助教 (00626880)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: 衝撃波工学 / 実在気体 / 数理工学 / 数値解析 / 非平衡熱・統計力学 / 拡張された熱力学 / 非線型波動 / 濃密気体

Outline of Final Research Achievements

Theoretical and numerical study of waves in real gases was carried out. Main results are summarized as follows: (1) Ultrasonic sounds and shock waves in rarefied polyatomic gases were analyzed based on extended thermodynamics (ET). The highly-nonequilibrium phenomena beyond the validity range of previous theories were successfully explained. (2) The new approach to the shock wave structure was proposed on the basis of the ET theory. This approach enables us to analyze the shock wave structure in rarefied polyatomic gases in a unified way. (3) The ET theory itself was also studied and developed.

Research Products

• [Journal Article] Non-linear extended thermodynamics of real gases with 6 fields (2015)
  • Author(s): T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
  • Journal Title: International Journal of Non-Linear Mechanics Volume: 72 Pages: 6-15
  • DOI: 10.1016/j.ijnonlinmec.2015.02.005
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] On the six-field model of fluids based on extended thermodynamics (2014)
  • Author(s): T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
  • Journal Title: Meccanica Volume: 49 Issue: 9 Pages: 2181-2187
  • DOI: 10.1007/s11012-014-9886-0
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] A study of linear waves based on extended thermodynamics for rarefied polyatomic gases (2014)
  • Author(s): T. Arima, S. Taniguchi, T. Ruggeri and M. Sugiyama
  • Journal Title: Acta Applicandae Mathematicae Volume: 132 Issue: 1 Pages: 15-25
  • DOI: 10.1007/s10440-014-9888-x
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Shock wave structure in a rarefied polyatomic gas based on extended thermodynamics (2014)
  • Author(s): S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
  • Journal Title: Acta Applicandae Mathematicae Volume: 132 Issue: 1 Pages: 583-593
  • DOI: 10.1007/s10440-014-9931-y
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Effect of the dynamic pressure on the shock wave structure in a rarefied polyatomic gas (2014)
  • Author(s): S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
  • Journal Title: Physics of Fluids Volume: 26 Issue: 1
  • DOI: 10.1063/1.4861368
  • Peer Reviewed
• [Journal Article] Thermodynamic theory of the shock wave structure in a rarefied polyatomic gas: Beyond the Bethe-Teller theory (2014)
  • Author(s): S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
  • Journal Title: Physical Review E Volume: 89 Issue: 1
  • DOI: 10.1103/physreve.89.013025
  • Peer Reviewed
• [Journal Article] 「拡張された熱力学」に基づく多原子分子希薄気体中の衝撃波構造I：14 変数理論 (2014)
  • Author(s): 谷口茂、有馬隆司、杉山勝
  • Journal Title: 平成25年度衝撃波シンポジウム講演論文集 Volume: 24 Pages: 440-446
• [Journal Article] 「拡張された熱力学」に基づく多原子分子希薄気体中の衝撃波構造II：6 変数理論 (2014)
  • Author(s): 有馬隆司、谷口茂、杉山勝
  • Journal Title: 平成25年度衝撃波シンポジウム講演論文集 Volume: 24 Pages: 447-453
• [Journal Article] 「拡張された熱力学」に基づく多原子分子希薄気体中の衝撃波構造III：緩和過程 (2014)
  • Author(s): 服部拓麻、谷口茂、有馬隆司、杉山勝
  • Journal Title: 平成25年度衝撃波シンポジウム講演論文集 Volume: 24 Pages: 454-458
• [Journal Article] Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics (2013)
  • Author(s): T. Arima, S. Taniguchi, T. Ruggeri and M. Sugiyama
  • Journal Title: Continuum Mechanics and Thermodynamics Volume: 未定 Issue: 6 Pages: 727-737
  • DOI: 10.1007/s00161-012-0271-8
  • Peer Reviewed
• [Journal Article] Monatomic rarefied gas as a singular limit of polyatomic gas in extended thermodynamics (2013)
  • Author(s): T. Arima, S. Taniguchi, T. Ruggeri and M. Sugiyama
  • Journal Title: Physics Letters A Volume: 377 Issue: 34-36 Pages: 2136-2140
  • DOI: 10.1016/j.physleta.2013.06.035
  • Peer Reviewed
• [Journal Article] Light Scattering in Rarefied Polyatomic Gases Based on Extended Thermodynamics (2013)
  • Author(s): T. Arima, S. Taniguchi and M. Sugiyama
  • Journal Title: Proceedings of Symposium on Ultrasonic Electronics Volume: 34 Pages: 15-16
• [Journal Article] 実在気体における新しい種類の衝撃波：Compressive upper shock II (2013)
  • Author(s): 谷口茂
  • Journal Title: 平成2４年度衝撃波シンポジウム講演論文集 Volume: 23 Pages: 263-266
• [Journal Article] Extended thermodynamics of real gases with dynamic pressure: An extension of Meixner's theory (2012)
  • Author(s): T. Arima, S. Taniguchi, T. Ruggeri and M. Sugiyama
  • Journal Title: Physics Letters A Volume: 376 Issue: 44 Pages: 2799-2803
  • DOI: 10.1016/j.physleta.2012.08.030
  • Peer Reviewed
• [Journal Article] Propagation of Sound Wave in Rarefied Polyatomic Gases Based on Extended Thermodynamics I. Longitudinal Wave (2012)
  • Author(s): T. Arima, S. Taniguchi, T. Ruggeri and M. Sugiyama
  • Journal Title: Proceeding of Symposium on Ultrasonic Electronics Volume: 33 Pages: 315-316
• [Journal Article] Propagation of Sound Wave in Rarefied Polyatomic Gases Based on Extended Thermodynamics II. Transverse Wave (2012)
  • Author(s): Y. Mizuno, T. Arima, S. Taniguchi and M. Sugiyama
  • Journal Title: Proceeding of Symposium on Ultrasonic Electronics Volume: 33 Pages: 317-318
• [Presentation] 拡張された熱力学に基づく多原子分子希薄気体の動的構造因子 (2015)
  • Author(s): ○有馬隆司、杉山勝、谷口茂
  • Organizer: 日本物理学会第70回年次大会
  • Place of Presentation: 早稲田大学早稲田キャンパス
  • Year and Date: 2015-03-22
• [Presentation] 拡張された熱力学に基づく多原子分子希薄気体中の衝撃波構造IV：Meixner理論との関係 (2015)
  • Author(s): ○谷口茂、杉山勝
  • Organizer: 平成26年度衝撃波シンポジウム
  • Place of Presentation: 群馬県伊香保温泉ホテル天坊
  • Year and Date: 2015-03-11
• [Presentation] 拡張された熱力学に基づく多原子分子希薄気体中の衝撃波構造V：水素の同位体効果 (2015)
  • Author(s): ○竹内佑太、竹田宗弘、谷口茂、小石まどか、杉山勝
  • Organizer: 平成26年度衝撃波シンポジウム
  • Place of Presentation: 群馬県伊香保温泉ホテル天坊
  • Year and Date: 2015-03-10
• [Presentation] 拡張された熱力学に基づく希薄水素気体中の衝撃波構造の解析 (2015)
  • Author(s): ○小石まどか、谷口茂、竹内佑太、竹田宗弘、杉山勝
  • Organizer: 日本機械学会中国四国支部第53期総会・講演会
  • Place of Presentation: 近畿大学工学部東広島キャンパ ス
  • Year and Date: 2015-03-06
• [Presentation] Nonlinear Extended Thermodynamics of Real Gases with Six Fields. Part I: Universal Principles and Field Equations (2014)
  • Author(s): T. Arima, ○T. Ruggeri, M. Sugiyama and S. Taniguchi
  • Organizer: Current Problems in Fluid-Dynamics and Non-Equilibrium Thermodynamics
  • Place of Presentation: Bressanone, Italy
  • Year and Date: 2014-12-19
  • Invited
• [Presentation] Nonlinear Extended Thermodynamics of Real Gases with Six Fields. Part II: Comparison with the Meixner Theory of Relaxation Processes (2014)
  • Author(s): T. Arima, T. Ruggeri, ○M. Sugiyama and S. Taniguchi
  • Organizer: Current Problems in Fluid-Dynamics and Non-Equilibrium Thermodynamics
  • Place of Presentation: Bressanone, Italy
  • Year and Date: 2014-12-19
  • Invited
• [Presentation] Molecular Extended Thermodynamics of Polyatomic Gases with Many Number of Moments (2014)
  • Author(s): ○T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
  • Organizer: Current Problems in Fluid-Dynamics and Non-Equilibrium Thermodynamics
  • Place of Presentation: Bressanone, Italy
  • Year and Date: 2014-12-19
  • Invited
• [Presentation] Shock waves in rarefied polyatomic gases with large bulk viscosity based on extended thermodynamics (2014)
  • Author(s): S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
  • Organizer: Current Problems in Fluid-Dynamics and Non-Equilibrium Thermodynamics
  • Place of Presentation: Bressanone, Italy
  • Year and Date: 2014-12-18
  • Invited
• [Presentation] 多原子分子希薄気体中の衝撃波構造に対する動圧の影響 (2014)
  • Author(s): ○谷口茂、有馬隆司、T. Ruggeri、杉山勝
  • Organizer: 日本物理学会2014年秋季大会
  • Place of Presentation: 中部大学春日井キャンパス
  • Year and Date: 2014-09-07
• [Presentation] 多原子分子気体に対する「拡張された熱力学」理論とそれに基づく衝撃波構造の解析 (2014)
  • Author(s): ○谷口茂、有馬隆司、T. Ruggeri、杉山勝
  • Organizer: 第１2回日本流体力学会中四国・九州支部講演会
  • Place of Presentation: 九州大学伊都キャンパス
  • Year and Date: 2014-06-21
• [Presentation] Dense-Gas Model Based on Extended Thermodynamics
  • Author(s): ○M. Sugiyama, T. Arima, S. Taniguchi and T. Ruggeri
  • Organizer: 4th International Conference on New Trends in Fluid and Solid Models
  • Place of Presentation: Salerno, Italy
  • Invited
• [Presentation] Extended Thermodynamics of Dense Gases: Review of Its Recent Developments
  • Author(s): ○M. Sugiyama, T. Arima, S. Taniguchi and T. Ruggeri
  • Organizer: International Conference on Waves and Stability in Continuum Mechanics
  • Place of Presentation: Levico TN, Italy
  • Invited
• [Presentation] Propagation of Linear Waves in Rarefied Polyatomic Gases Based on Extended Thermodynamics
  • Author(s): ○T. Arima, S. Taniguchi, T. Ruggeri and M. Sugiyama
  • Organizer: International Conference on Waves and Stability in Continuum Mechanics
  • Place of Presentation: Levico TN, Italy
• [Presentation] Shock structures and sub shocks in rarefied polyatomic gases based on extended thermodynamics
  • Author(s): ○S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
  • Organizer: International Conference on Waves and Stability in Continuum Mechanics
  • Place of Presentation: Levico TN, Italy
• [Presentation] 希薄な二酸化炭素気体中の衝撃波構造に関する「拡張された熱力学」を用いた解析
  • Author(s): ○谷口茂、有馬隆司、杉山勝、T. Ruggeri
  • Organizer: 日本物理学会第2013年秋季大会
  • Place of Presentation: 徳島大学
• [Presentation] Light scattering in Rarefied Polyatomic Gases Based on Extended Thermodynamics
  • Author(s): ○T. Arima, S. Taniguchi and M. Sugiyama
  • Organizer: 第34回超音波エレクトロニクスの基礎と応用に関するシンポジウム
  • Place of Presentation: 同志社大学
• [Presentation] 「拡張された熱力学」に基づく多原子分子希薄気体中の衝撃波構造
  • Author(s): 谷口茂
  • Organizer: 第７９回現象数理セミナー
  • Place of Presentation: 九州大学
• [Presentation] 「拡張された熱力学」理論の多原子分子希薄気体中の衝撃波構造への応用
  • Author(s): 谷口茂
  • Organizer: 第七回紀州吉宗セミナー
  • Place of Presentation: 和歌山大学
  • Invited
• [Presentation] 「拡張された熱力学」に基づく多原子分子希薄気体中の衝撃波構造I：14 変数理論
  • Author(s): ○谷口茂、有馬隆司、杉山勝
  • Organizer: 平成25年度衝撃波シンポジウム
  • Place of Presentation: 青山学院大学
• [Presentation] 「拡張された熱力学」に基づく多原子分子希薄気体中の衝撃波構造II：6 変数理論
  • Author(s): ○有馬隆司、谷口茂、杉山勝
  • Organizer: 平成25年度衝撃波シンポジウム
  • Place of Presentation: 青山学院大学
• [Presentation] 「拡張された熱力学」に基づく多原子分子希薄気体中の衝撃波構造III：緩和過程
  • Author(s): ○服部拓麻、谷口茂、有馬隆司、杉山勝
  • Organizer: 平成25年度衝撃波シンポジウム
  • Place of Presentation: 青山学院大学
• [Presentation] 拡張された熱力学に基づく多原子分子希薄気体中を伝播する縦波 II
  • Author(s): ○有馬隆司、 谷口茂、 杉山勝
  • Organizer: 日本物理学会第69回年次大会
  • Place of Presentation: 東海大学
• [Presentation] Dense-Gas Model Based on Extended Thermodynamics
  • Author(s): M. Sugiyama, T. Arima, S. Taniguchi, and T. Ruggeri
  • Organizer: 4th International Conference on New Trends in Fluid and Solid Models
  • Place of Presentation: Salerno, Italy
  • Invited
• [Presentation] Extended Thermodynamics of Dense Gases: Theory and Its Application
  • Author(s): M. Sugiyama, T. Arima, S. Taniguchi, and T. Ruggeri
  • Organizer: The 6th China-Italy Colloquium on Applied Mathematics
  • Place of Presentation: Shanghai, China
  • Invited
• [Presentation] Shock-induced phase transitions in systems of hard spheres with attractive interactions
  • Author(s): S. Taniguchi
  • Organizer: XXXVII Summer School on Mathematical Physics
  • Place of Presentation: Ravello, Italy
• [Presentation] 実在気体における新しい種類の衝撃波：Compressive upper shock II
  • Author(s): 谷口茂
  • Organizer: 日本物理学会第68回年次大会
  • Place of Presentation: 広島大学・東広島キャンパス
• [Presentation] 拡張された熱力学に基づく多原子分子希薄気体中を伝播する縦波と横波の解析
  • Author(s): 有馬隆司、水野葉子、谷口茂、杉山勝
  • Organizer: 日本物理学会第68回年次大会
  • Place of Presentation: 広島大学・東広島キャンパス
• [Presentation] 実在気体における新しい種類の衝撃波：Compressive upper shock II
  • Author(s): 谷口茂
  • Organizer: 平成2４年度衝撃波シンポジウム
  • Place of Presentation: 北九州国際会議場(小倉)
• [Presentation] Propagation of Sound Wave in Rarefied Polyatomic Gases Based on Extended Thermodynamics I. Longitudinal Wave
  • Author(s): T. Arima, S. Taniguchi, T. Ruggeri and M. Sugiyama
  • Organizer: 第33回超音波エレクトロニクスの基礎と応用に関するシンポジウム
  • Place of Presentation: 千葉大学
• [Presentation] Propagation of Sound Wave in Rarefied Polyatomic Gases Based on Extended Thermodynamics II. Transverse Wave
  • Author(s): Y. Mizuno, T. Arima, S. Taniguchi and M. Sugiyama
  • Organizer: 第33回超音波エレクトロニクスの基礎と応用に関するシンポジウム
  • Place of Presentation: 千葉大学