Study on noise reduction scheme in the Monte Carlo simulation forBoltzmann equation

• Project/Area Number: 22560159
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Fluid engineering
• Research Institution: Yokohama National University
• Principal Investigator: MATSUMOTO Hiroaki 横浜国立大学, 工学研究院, 教授 (10251753)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2010: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
• Keywords: 分子流体力学 / 希薄気体流れ / ボルツマン方程式 / モンテカルロ解析 / ノイズ低減 / 分子気体力学 / 希薄萍気体流れ

Research Abstract

A noise reduction scheme based on the Markov statistical process was introduced to the direct simulation Monte Carlo method, and then applied to the two dimensional Couette flow and cavity flow in the low speed and low Knudsen number rarefied gas fields. It was confirmed that the noise reduction scheme was reduced the statistical errors faster than those of DSMC simulation. However small discrepancies were observed in the profiles of the flow structures such as velocity and temperature distributions between the noise reduction scheme and DSMC method.

Research Products

• [Journal Article] Monte Carlo Simulation of Rarefied Gas Flow induced by Wall Temperature Gradient (2012)
  • Author(s): Hiroaki Matsumoto and Kyoshiro Kanamori
  • Journal Title: Rarefied Gas Dynamics Pages: 6661-6666
  • Peer Reviewed
• [Journal Article] Monte Carlo Simulation of Rarefied Gas Flow induced by Wall Temperature Gradient (2012)
  • Author(s): Hiroaki Matsumoto
  • Journal Title: Rarefied Gas Dynamics Volume: AIP CONF. PROC. 1501 Pages: 6661-6666
  • Peer Reviewed
• [Journal Article] Monte Carlo Simulation of Hypersonic Rarefied Gas Flow using Rotationally and Vibrationally Inelastic Cross Section Models (2011)
  • Author(s): Hiroaki Matsumoto
  • Journal Title: Rarefied Gas Dynamics Volume: 1333 Pages: 1245-1250
  • Peer Reviewed
• [Journal Article] Monte Carlo Simulation of Hypersonic Rarefied Gas Flow using Rotationally and Vibrationally Inelastic Cross Section Models (2011)
  • Author(s): Hiroaki Matsumoto
  • Journal Title: Rarefied Gas Dynamics (AIP) Volume: 印刷中
  • Peer Reviewed
• [Presentation] 非一様な壁面温度に誘起される自由分子流れのモンテ カルロシミュレーション (2012)
  • Author(s): 松本 裕昭、金森 恭士郎
  • Place of Presentation: 高知大学
  • Year and Date: 2012-09-17
• [Presentation] 壁面温度勾配に誘起される希薄気体流れのモンテカル ロシミュレーション (2012)
  • Author(s): 松本 裕昭、金森 恭士郎
  • Organizer: 日本機械学会、2012 年度年次大会
  • Place of Presentation: 金沢大学
  • Year and Date: 2012-09-10
• [Presentation] Double Cone形状物体周りの超音速希薄気体流れのモンテカルロシミュレーション (2011)
  • Author(s): 松本 裕昭、佐宗 純
  • Organizer: 日本機械学会 2011年度年次大会
  • Place of Presentation: 東京工業大学
  • Year and Date: 2011-09-14
• [Presentation] Double Cone形状物体周りの超音速希薄気体流れのモンテカルロシミュレーション (2011)
  • Author(s): 松本裕昭、佐宗純
  • Organizer: 日本機械学会2011年度年次大会
  • Place of Presentation: 東京工業大学
  • Year and Date: 2011-09-14
• [Presentation] 超音速希薄気体中の熱的非平衡現象のモンテカルロシミュレーション (2011)
  • Author(s): 松本 裕昭
  • Organizer: 日本流体力学会 2011年会
  • Place of Presentation: 首都大学東京
  • Year and Date: 2011-09-09
• [Presentation] 超音速希薄気体中の熱的非平衡現象のモンテカルロシミュレーション (2011)
  • Author(s): 松本裕昭
  • Organizer: 日本流体力学会年会2011
  • Place of Presentation: 首都大学東京
  • Year and Date: 2011-09-09
• [Presentation] Monte Carlo Simulation of Hypersonic Rarefied Gas Flow using Rotationally and Vibrationally Inelastic Cross Section Models (2010)
  • Author(s): Hiroaki Matsumoto
  • Organizer: 27^<th> International Symposium on Rarefied Gas Dynamics
  • Place of Presentation: Asilomar Conference Grounds, Pacific Grove, California, USA
  • Year and Date: 2010-07-14
• [Presentation] 壁面温度勾配に誘起される希薄気体流れのモンテカルロシミュレーション
  • Author(s): (1) 松本裕昭
  • Organizer: 日本機械学会2012年度年次大会
  • Place of Presentation: 金沢大学
• [Presentation] 非一様な壁面温度に誘起される自由分子流れのモンテカルロシミュレーション
  • Author(s): 松本 裕昭
  • Organizer: 日本流体力学会年会2012
  • Place of Presentation: 高知大学