Numerical simulation of probability distribution in phase space

• Project/Area Number: 23740357
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Meteorology/Physical oceanography/Hydrology
• Research Institution: The Institute of Physical and Chemical Research (2012-2014); Kobe University (2011)
• Principal Investigator: NISHIZAWA Seiya 独立行政法人理化学研究所, 計算科学研究機構, 研究員 (40447892)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000); Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
• Keywords: 存在確率分布 / 数値計算 / 確率微分方程式

Outline of Final Research Achievements

Probabilistic methods are necessary for long term predictions in nonlinear system due to their chaotic behavior. Direct numerical integration of the probability distribution in the phase space requires so huge amount of calculation in the case of systems with high degree of freedom, that Monte Carlo simulations are often used in such cases. In this study, possibility of the numerical integration of the probability distribution is investigated. Several approximations are employed to reduce the amount of the calculation, so the results have less accuracy than those of the Monte Carlo calculations.

Research Products

• [Journal Article] A linear thermal stability analysis of discretized fluid equations (2015)
  • Author(s): Miyamoto, Y., J. Ito, S. Nishizawa, and H. Tomita
  • Journal Title: Theoretical and Computational Fluid Dynamics Volume: 29 Issue: 3 Pages: 155-169
  • DOI: 10.1007/s00162-015-0345-x
  • Peer Reviewed
• [Journal Article] Horizontal distance of each cumulus and cloud broadening distance determine cloud cover (2015)
  • Author(s): Sato, Y., Y. Miyamoto, S. Nishizawa, H. Yashiro, Y. Kajikawa, R. Yoshida, T. Yamaura, and H. Tomita
  • Journal Title: SOLA Volume: 未定
  • NAID: 130005078530
  • Peer Reviewed / Open Access
• [Journal Article] Potential of Retrieving Shallow-Cloud Life Cycle from Future Generation Satellite Observations through Cloud Evolution Diagrams: A Suggestion from a Large Eddy Simulation (2014)
  • Author(s): Sato.Y, S.Nishizawa 他
  • Journal Title: SOLA Volume: 10 Issue: 0 Pages: 10-14
  • DOI: 10.2151/sola.2014-003
  • NAID: 130004940840
  • ISSN: 1349-6476
  • Peer Reviewed
• [Journal Article] 完全圧縮 LES モデルの開発と層積雲の成長過程に関する 計算~雲・エアロゾル科学への計算科学からの貢献 (2014)
  • Author(s): 佐藤陽祐, 西澤誠也 他
  • Journal Title: 低温科学 Volume: 72 Pages: 265-284
  • Peer Reviewed
• [Presentation] SCALE introduction (2014)
  • Author(s): Nishizawa, S
  • Organizer: Joint workshop of 6th International Workshop on Global Cloud Resolving Modeling and 3rd International Workshop on Nonhydrostatic Numerical Models
  • Place of Presentation: 理化学研究所計算科学研究機構(兵庫・神戸)
  • Year and Date: 2014-09-24 – 2014-09-26
• [Presentation] High-resolution large-eddy simulation on the Martian planetary boundary layer (2014)
  • Author(s): Nishizawa, S, H. Yashiro, M. Odaka, Y. Takahashi, Y.-Y. Hayashi, H. Tomita, S. Takehiro, M. Ishiwatari, K. nakajima, Y. Sato, and K. Sugiyama
  • Organizer: AOGS 11th Annual Meeting
  • Place of Presentation: ロイトン札幌(北海道・札幌)
  • Year and Date: 2014-07-28 – 2014-08-01
• [Presentation] 高解像度重力流実験でみられる不安定のフラクタル構造とそれによる混合
  • Author(s): 西澤誠也 他
  • Organizer: 日本気象学会2013年度春季大会
  • Place of Presentation: 東京
• [Presentation] 火星境界層の高解像度 LES 実験
  • Author(s): 西澤誠也, 八代尚, 小高正嗣 他
  • Organizer: 第４６回 月・惑星シンポジウム
  • Place of Presentation: 神奈川