高次精度粒子法の開発

• Project/Area Number: 14J09735
• Research Category: Grant-in-Aid for JSPS Fellows
• Allocation Type: Single-year Grants
• Section: 国内
• Research Field: Nuclear engineering
• Research Institution: The University of Tokyo
• Principal Investigator: 玉井 佑 東京大学, 工学系研究科, 特別研究員(DC1)
• Project Period (FY): 2014-04-25 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥2,800,000 (Direct Cost: ¥2,800,000); Fiscal Year 2016: ¥900,000 (Direct Cost: ¥900,000); Fiscal Year 2015: ¥900,000 (Direct Cost: ¥900,000); Fiscal Year 2014: ¥1,000,000 (Direct Cost: ¥1,000,000)
• Keywords: 粒子法 / メッシュフリー法 / LSMPS法 / 高次精度 / 境界条件 / コンパクトスキーム / MPS法 / コンパクト差分スキーム / 数値流体力学

Outline of Annual Research Achievements

本年度は，一昨年度，及び昨年度において開発・改良したLeast Squares Moving Particle Semi-implicit法(以下，LSMPS法と記す．)の空間離散化スキームの更なる改良を行った．具体的には，Neumann境界条件を重み付き最小二乗法により拘束するLSMPS Constraintスキームの拡張版として，支配方程式とそれを微分したもの，そしてNeumann境界条件とそれを微分したものをそれぞれ重み付き最小二乗法を用いて空間の離散化の手順において多重に拘束することによりさらなる高精度かつ高計算効率を実現する，LSMPS Multiple-order Differential Constraint(MDC)スキームを開発した．また，既存のLSMPS法に関する文献ではScalar変数の離散化に適用される離散化スキームのみ定式化されていたが，応力テンソルに関するNeumann境界条件など，速度や変位などのVector変数の複数成分にまたがって微分値の拘束が必要な境界値問題に適用できる，LSMPS Vector Constraintスキームの開発も行った．さらに，Laplace作用素の近似を，最も低次精度(一次のConsistency)であるが最も局所的に行えるメッシュフリー空間離散化スキームや，有限差分法の分野において近年発展しているコンパクトスキームをメッシュフリー法に一般化した，メッシュフリーコンパクトスキームの開発も行った．これらのスキームの精度や収束性に関して，数学的な考察や数値実験などを行い，開発した離散化スキームを適用することにより高次精度のメッシュフリー数値解析が行えることを示した．

Research Progress Status

28年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

28年度が最終年度であるため、記入しない。

Research Products

• [Journal Article] An ALE particle method using upwind interpolation (2017)
  • Author(s): Fangyuan Hu, Takuya Matsunaga, Tasuku Tamai, Seiichi Koshizuka
  • Journal Title: Computers and Fluids Volume: 145 Pages: 21-36
  • DOI: 10.1016/j.compfluid.2016.12.011
  • Peer Reviewed
• [Journal Article] Comparison of Numerical Accuracy between MPS Method and LSMPS Method as Particle Methods in Computational Fluid Simulation (2016)
  • Author(s): 室谷浩平，玉井佑，越塚誠一
  • Journal Title: Bulletin of the Japan Society for Industrial and Applied Mathematics Volume: 26 Issue: 2 Pages: 2-13
  • DOI: 10.11540/bjsiam.26.2_2
  • NAID: 130005267467
  • ISSN: 2432-1982
  • Year and Date: 2016-06-24
  • Peer Reviewed
• [Journal Article] Anisotropic High Viscosity Fluid Analysis Using a Particle Method for Evaluating CFRTP Press Molding Process (2016)
  • Author(s): 志野亮作, 玉井佑, 越塚誠一, 真木晶, 石川健
  • Journal Title: Transactions of the Japan Society for Computational Engineering and Science Volume: 2016 Issue: 0 Pages: 20160015-20160015
  • DOI: 10.11421/jsces.2016.20160015
  • NAID: 130005160464
  • ISSN: 1347-8826
  • Peer Reviewed
• [Journal Article] On the consistency and convergence of particle-based meshfree discretization schemes for the Laplace operator (2016)
  • Author(s): T. Tamai, K. Murotani and S. Koshizuka
  • Journal Title: Computers & Fluids Volume: xx Pages: 79-85
  • DOI: 10.1016/j.compfluid.2016.02.012
  • Peer Reviewed
• [Journal Article] Human swallowing simulation based on videofluorography images using Hamiltonian MPS method (2015)
  • Author(s): Takahiro Kikuchi, Yukihiro Michiwaki, Tetsu Kamiya, Yoshio Toyama, Tasuku Tamai, and Seiichi Koshizuka
  • Journal Title: Computational Particle Mechanics Volume: 2 Issue: 3 Pages: 247-260
  • DOI: 10.1007/s40571-015-0049-4
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Least Squares Moving Particle Semi-implicit Method (2014)
  • Author(s): Tasuku Tamai, Seiichi Koshizuka
  • Journal Title: Computational Particle Mechanis Volume: 1 Issue: 3 Pages: 277-305
  • DOI: 10.1007/s40571-014-0027-2
  • Peer Reviewed
• [Journal Article] Development of Hierarchical Domain Decomposition Explicit MPS Method and Application to Large-scale Tsunami Analysis with Floating Objects (2014)
  • Author(s): Kohei Murotani, Seiichi Koshizuka, Tasuku Tamai, Kazuya Shibata, Naoto Mitsume, Shinobu Yoshimura, Satoshi Tanaka, Kyoko Hasegawa, Eiichi Nagai and Toshimitsu Fujisawa
  • Journal Title: Journal of Advanced Simulation in Science and Engineering Volume: 1 Issue: 1 Pages: 16-35
  • DOI: 10.15748/jasse.1.16
  • NAID: 130004709200
  • ISSN: 2188-5303
  • Peer Reviewed / Open Access
• [Presentation] Least Squares Moving Particle Semi-implicit法による気液二相流解析手法の開発 (2016)
  • Author(s): 矢島周, 越塚誠一, 柴田和也, 玉井佑
  • Organizer: 第３０回数値流体力学シンポジウム(CFD2016)
  • Place of Presentation: タワーホール船堀(東京都江戸川区)
  • Year and Date: 2016-12-12
• [Presentation] 粒子法を用いた長繊維熱可塑UDプリプレグのための異方性高粘度流体解析 (2016)
  • Author(s): 志野亮作, 玉井佑, 越塚誠一, 真木晶, 石川健
  • Organizer: 第３０回数値流体力学シンポジウム(CFD2016)
  • Place of Presentation: タワーホール船堀(東京都江戸川区)
  • Year and Date: 2016-12-12
• [Presentation] A Fiber Tracking Analysis Method and its Visualization for Press Molding of Carbon Fiber Reinforced Thermoplastics using a Particle Method (2016)
  • Author(s): Shun Fukumoto, Tasuku Tamai, Ryosaku Shino, Seiichi Koshizuka, Takahiro Hayashi, Takeshi Ishikawa
  • Organizer: Abstract The 35th JSST Annual Conference International Conference on Simulation Technology (JSST 2016)
  • Place of Presentation: Kyoto University(Kyoto, Japan)
  • Year and Date: 2016-10-27
  • Int'l Joint Research
• [Presentation] 高次精度メッシュフリー法を用いた非一様な熱伝導率を持つ熱拡散方程式の解析 (2016)
  • Author(s): 玉井佑、越塚誠一
  • Organizer: 日本機械学会第29回計算力学講演会 (CMD2016)
  • Place of Presentation: 名古屋大学東山キャンパス(愛知県名古屋市)
  • Year and Date: 2016-09-22
• [Presentation] Numerical analysis of multi-layered anisotropic high viscous fluid using a particle method for press molding of CFRTP (2016)
  • Author(s): Ryosaku Shino, Tasuku Tamai, Seiichi. Koshizuka, Arata Maki, Takeshi Ishikawa
  • Organizer: The 13th International Conference on Flow Processes in Composite Materials (FPCM 13)
  • Place of Presentation: Kyoto Institute of Technology(Kyoto, Japan)
  • Year and Date: 2016-07-06
  • Int'l Joint Research
• [Presentation] Generalization of meshfree compact schemes and their applications (2016)
  • Author(s): Tasuku Tamai, and Seiichi Koshizuka
  • Organizer: ECCOMAS Congress 2016
  • Place of Presentation: Creta Maris' Conference Center(Crete Island, Greece)
  • Year and Date: 2016-05-05
  • Int'l Joint Research
• [Presentation] An implicit time integration algorithm for anisotropic high viscous incompressible flow (2015)
  • Author(s): Tasuku Tamai, and Seiichi Koshizuka
  • Organizer: 第２９回数値流体力学シンポジウム
  • Place of Presentation: 九州大学筑紫キャンパス (福岡県春日市)
  • Year and Date: 2015-12-15
• [Presentation] Numerical analysis of sloshing flow using least squares moving particle semi-implicit method (2015)
  • Author(s): Tasuku Tamai and Seiichi Koshizuka
  • Organizer: 3rd Deans’Forum Workshop on Resilience Engineering
  • Place of Presentation: The University of Tokyo, Hongo campus (Bunkyo-ku, Tokyo, Japan)
  • Year and Date: 2015-11-16
  • Int'l Joint Research / Invited
• [Presentation] 粒子法のための半陰解法による表面張力モデリング (2015)
  • Author(s): 玉井 佑，越塚 誠一
  • Organizer: 日本機械学会第２８回計算力学講演会
  • Place of Presentation: 横浜国立大学 (神奈川県横浜市)
  • Year and Date: 2015-10-12
• [Presentation] A Convection Scheme for Incompressible Flows by Particle Method (2015)
  • Author(s): Fangyuan Hu, Takuya Matsunaga, Tasuku Tamai, and Seiichi Koshizuka
  • Organizer: 日本機械学会第２８回計算力学講演会
  • Place of Presentation: 横浜国立大学 (神奈川県横浜市)
  • Year and Date: 2015-10-12
• [Presentation] CFRTPプリプレグのプレス成形のための粒子法異方性高粘度流体解析 (2015)
  • Author(s): 志野 亮作，玉井 佑，越塚 誠一，真木 晶，石川 健
  • Organizer: 日本機械学会第２８回計算力学講演会
  • Place of Presentation: 横浜国立大学 (神奈川県横浜市)
  • Year and Date: 2015-10-12
• [Presentation] A Structure Preserving Meshfree Spatial Discretization Scheme (2015)
  • Author(s): Tasuku Tamai and Seiichi Koshizuka
  • Organizer: 3rd International Workshops on Advances in Computational Mechanics
  • Place of Presentation: KFC Hall & Rooms (Sumida-ku, Tokyo, Japan)
  • Year and Date: 2015-10-12
  • Int'l Joint Research / Invited
• [Presentation] Conservative Particle Mechanics (2015)
  • Author(s): Tasuku Tamai and Seiichi Koshizuka
  • Organizer: 4th International Conference on Particle-Based Methods. Fundamentals and Applications
  • Place of Presentation: Barcelona (Spain)
  • Year and Date: 2015-09-28
  • Int'l Joint Research
• [Presentation] Numerical Analysis of Anisotropic High Viscosity Fluid for Press Molding of Carbon Fiber Reinforced Thermo Plastic (2015)
  • Author(s): Ryosaku Shino, Tasuku Tamai, Seiichi Koshizuka, Akira Maki, and Takeshi Ishikawa
  • Organizer: 4th International Conference on Particle-Based Methods. Fundamentals and Applications
  • Place of Presentation: Barcelona (Spain)
  • Year and Date: 2015-09-28
  • Int'l Joint Research
• [Presentation] 粒子法を用いた異方性高粘度流体解析に関する研究 (2015)
  • Author(s): 志野 亮作，玉井 佑，越塚 誠一，真木 晶，石川 健
  • Organizer: 第20回計算工学講演会
  • Place of Presentation: つくば国際会議場 (茨城県つくば市)
  • Year and Date: 2015-06-08
• [Presentation] Fundamental study of Moving Particle eXplicit(MPX) method (2015)
  • Author(s): Tasuku Tamai and Seiichi Koshizuka
  • Organizer: 1st Pan-American Congress on Computational Mechanics
  • Place of Presentation: Buenos Aires (Argentina)
  • Year and Date: 2015-04-27
  • Int'l Joint Research
• [Presentation] [Keynote lecture]High Viscosity Flow Analysis using Moving Particle Simulation Methods (2015)
  • Author(s): Seiiichi Koshizuka, Shogo Kaito, Tasuku Tamai, Kouhei Murotani, and Kazuya Shibata
  • Organizer: The 18th International Conference on Finite Elements in Flow Problems (FEF2015)
  • Place of Presentation: Taipei, Taiwan
  • Year and Date: 2015-03-16 – 2015-03-18
  • Invited
• [Presentation] Simulation of Endolymph Flow Dynamics in the Human Semicircular Canals based on Magnetic Resonance Images using the Moving Particle Semi-implicit Method (2015)
  • Author(s): Chieh Chen, Tasuku Tamai, Kazuya Shibata, and Seiichi Koshizuka
  • Organizer: The 18th International Conference on Finite Elements in Flow Problems (FEF2015)
  • Place of Presentation: Taipei, Taiwan
  • Year and Date: 2015-03-16 – 2015-03-18
  • Invited
• [Presentation] Convergence Study and Recent Advances of Least Squares Moving Particle Semi-implicit Method (2015)
  • Author(s): Tasuku Tamai, and Seiichi Koshizuka
  • Organizer: The 18th International Conference on Finite Elements in Flow Problems (FEF2015)
  • Place of Presentation: Taipei, Taiwan
  • Year and Date: 2015-03-16 – 2015-03-18
  • Invited
• [Presentation] 高次精度粒子法 (2015)
  • Author(s): 玉井佑
  • Organizer: ミニワークショップ 粒子法－数値計算と数学解析
  • Place of Presentation: 九州大学伊都キャンパス、福岡県
  • Year and Date: 2015-02-18 – 2015-02-19
  • Invited
• [Presentation] Least Squares Moving Particle Semi-implicit法の離散化スキームをい用いたPoisson方程式の収束性に関する研究 (2014)
  • Author(s): 玉井佑、越塚誠一
  • Organizer: 日本機械学会第27回計算力学講演会 (CMD2014)
  • Place of Presentation: 岩手大学工学部、岩手県
  • Year and Date: 2014-11-22 – 2014-11-24
• [Presentation] Large-Scale Tsunami Analsis on Urban Area using MPS-FE Fluid Structure Interaction Coupled Method (2014)
  • Author(s): Kouhei Murotani, Seiichi Koshizuka, Naoto Mitsume, Shinobu Yoshimura, Kazuya Shibata, Tasuku Tamai, Satoshi Tanaka, Kyoko Hasegawa, and Toshimitu Fujisawa
  • Organizer: The 14th Asia Simulation Conference and The 33rd JSST Annual Conference
  • Place of Presentation: Kita kyusyu, Japan
  • Year and Date: 2014-10-26 – 2014-10-30
• [Presentation] Zoom up tsunami analysis on urban areas by three analyses stages using hierarchical domain decomposition in explicit MPS method (2014)
  • Author(s): Kouhei Murotani, Seiichi Koshizuka, Hiroshi Kanayama, Kazuya Shibata, Tasuku Tamai, Naoto Mitsume, Shinobu Yoshimura, Satoshi Tanaka, Kyoko Hasegawa, and Toshimitsu Fujisawa
  • Organizer: 11th World Congress on Computational Mechanics (ECCM XI)
  • Place of Presentation: Barcelona, Spain
  • Year and Date: 2014-07-20 – 2014-07-25
• [Presentation] Fundamental Study on Least Squares Moving Particle Semi-implicit Metho (2014)
  • Author(s): Tasuku Tamai, Kazuya Shibata, Seiichi Koshizuka
  • Organizer: 11th World Congress on Computational Mechanics (ECCM XI)
  • Place of Presentation: Barcelona, Spain
  • Year and Date: 2014-07-20 – 2014-07-25
• [Presentation] 階層型領域分割MPS法を用いた多数の浮遊物が漂流する市街地津波遡上解析 (2014)
  • Author(s): 室谷浩平、越塚誠一、玉井佑、柴田和也、三目直登、吉村忍、田中覚、長谷川恭子、藤澤智光
  • Organizer: 第19回計算工学講演会
  • Place of Presentation: 広島国際会議場、広島県
  • Year and Date: 2014-06-11 – 2014-06-13
• [Presentation] A simulation of Endolymph Flow Dynamics in the Human Semi-circular Canals using the Moving Particle Semi-implicit Method based on Magnetic Resonance Images (2014)
  • Author(s): Chieh Chen, Takayuki Okura, Tasuku Tamai, Kazuya Shibata, and Seiichi Koshizuka
  • Organizer: 第19回計算工学講演会
  • Place of Presentation: 広島国際会議場、広島県
  • Year and Date: 2014-06-11 – 2014-06-13
• [Presentation] Least Squares Moving Particle Semi-implicit法による自由表面を伴う三次元非圧縮流れの解析 (2014)
  • Author(s): 玉井佑、柴田和也、室谷浩平、越塚誠一
  • Organizer: 第19回計算工学講演会
  • Place of Presentation: 広島国際会議場、広島県
  • Year and Date: 2014-06-11 – 2014-06-13