2007 Fiscal Year Final Research Report Summary
The Frontier of Numerical Analysis for Dynamics of Interfaces and Developments in Sciences and Engineering
Project/Area Number |
16340029
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Research Category |
Grant-in-Aid for Scientific Research (B)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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Research Institution | Osaka Institute of Technology |
Principal Investigator |
TOMOEDA Kenji Osaka Institute of Technology, Faculty of Engineering, Professor (60033916)
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Co-Investigator(Kenkyū-buntansha) |
MIMURA Masayasu Meiji University, Faculty of Science and Technology, Professor (50068128)
山口 智彦 産業技術総合研究所, ナノテクノロジー研究部門, グループ長 (70358232)
KAWAGUCHI Masami Mie University, Graduate School of Engineering, Professor (30093123)
TABATA Masahisa Kyushu University, Graduate School of Mathematics, Professor (30093272)
GIGA Yoshikazu Tokyo University, Graduate School of Engineering, Professor (70144110)
NAKAKI Tatsuyuki Hiroshima University, Graduate School of Science, Professor (50172284)
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Project Period (FY) |
2004 – 2007
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Keywords | free boundary / TCD method / singular limit method / multi-fluid flows / crystal growth / viscous fingering / multi-scale FEM / support splitting phenomena |
Research Abstract |
We were concerned with the following numerical methods to the phenomena appearing in the repre-sentative dynamical interfaces : i) Pattern dynamics in the reaction-diffusion system, ii) Viscous fingering phenomena in Hele-Shaw Cell, iii) Dynamical behavior of the region occupied by the water in the process of evaporation. We obtained several results : 1) The TCD (Threshold Competition Dynamics) method is developed for the numerical computation in reaction-diffusion system, and enables us to realize the dynamical behavior of free boundary in R^n (n=1, 2, 3.). The idea of this method is based on the theory of "Singular limit method". 2) The mathematical model for the crystal growth is considered in the, form of the reaction-diffusion equation with the effect of a convection, and gives us interesting mathematical results. 3) In viscous fingering phenomena, the buoyancy-driven path instabilities of bubble rising in Hele-Shaw Cell are examined. As an interesting phenomenon there appears a wake which is similar to a comet. However, such a wake is not realized in numerical method yet. 4) Multi-scale FEM based on crystallographic homogenization method is developed to predict the dynamics of interfaces in the formability of sheet metal. 5) The repeated support splitting and connecting property in the process of evaporation is investigated, where the the support means the region occupied by the water. The numerical methods for this process are established and the shape of the initial distribution for which such a property appear is explicitly obtained.
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Research Products
(469 results)
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[Journal Article] Asymmetric rolling process simulations by dynamic explicit crystallographic homogenized finite element method2007
Author(s)
Nguyen Ngoc Tam, Yasunori Nakamura, Toshihiro Terao, Hiroyuki Kuramae, Eiji Nakamachi, Hidetoshi Sakamoto and Hideo Morimoto
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Journal Title
Materials Processing and Design:Modeling, Simulation and Applications, J.M.A.Cesar de Sa, Abel D.Santos eds.American Institute of Physics, (Proc.of the 9th International Conference on Numerical Methods in Industrial Forming Processes), Part I
Pages: 613-618
Description
「研究成果報告書概要(和文)」より
Peer Reviewed
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[Journal Article] SEM-EBSD based realistic modeling and crystallographic homogenization FE analyses of LDH formability Tests2007
Author(s)
Hiroyuki Kuramae, Nguyen Ngoc Tam, Yasunori Nakamura, Hidetoshi Sakamoto, Hideo Morimoto, Eiji Nakamachi
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Journal Title
Materials Processing and Design : Modeling, Simulation and Applications, J.M.A. Cesar de Sa, Abel D. Santos eds. American Institute of Physics,(Proc. of the 9th International Conference on Numerical Methods in Industrial Forming Processes), Part I
Pages: 123-128
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Development of multi-scale finite element analysis codes for high formability sheet metal gen-eration2007
Author(s)
Eiji Nakamachi, Hiroyuki Kuramae, Nguyen Ngoc Tam, Yasunori Nakamura, Hidetoshi Sakamoto, Hideo Morimoto
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Journal Title
Materials Processing and Design : Modeling, Simulation and Applications, J.M.A. Cesar de Sa, Abel D. Santos eds. American Institute of Physics, (Proc. of the 9th International Conference on Numerical Methods in Industrial Forming Processes), Part I
Pages: 215-220
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Asymmetric rolling process simulations by dynamic explicit crystallo-graphic homogenized finite element method2007
Author(s)
Nguyen Ngoc Tam, Yasunori Nakamura, Toshihiro Terao, Hiroyuki Kuramae, Eiji Nakamachi, Hidetoshi Sakamoto, Hideo Morimoto
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Journal Title
Materials Processing and Design : Modeling, Simulation and Applications, J.M.A. Cesar de Sa, Abel D. Santos eds. American Institute of Physics, (Proc. of the 9th International Conference on Numerical Methods in Industrial Forming Processes), Part I
Pages: 613-618
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Flow through porous media with absorption2004
Author(s)
K.Tomoeda
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Journal Title
Proceedings of 4th European Congress on Computational Methods in Applied Sciences and Engineering, P.Neittaanmaki, T.Rossi, S.Korotov, E.Onate, J.Periaux, and D.Knorzer(eds.), vol 2, ISBN 951-39-1869-6, in CD-ROM
Pages: 15
Description
「研究成果報告書概要(和文)」より
Peer Reviewed
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[Presentation] 確率的需要予測手法の構築2007
Author(s)
河原田 秀夫, 鄭 英鎬, 水藤 寛
Organizer
日本応用数理学会2007年度年会
Place of Presentation
北海道大学
Year and Date
20070900
Description
「研究成果報告書概要(和文)」より
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[Presentation] EBSD計測・結晶均質化有限要素解析による降伏曲面の導出2007
Author(s)
前田 喬之, Nguyen Ngoc Tam, 上辻 靖智, 倉前 宏行, 森本 秀夫, 坂本 英俊, 仲町 英治
Organizer
日本塑性加工学会第58回塑性加工連合講演会
Place of Presentation
札幌市教育文化会館・北海道厚生年金会館,札幌市
Year and Date
2007-10-26
Description
「研究成果報告書概要(和文)」より
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[Presentation] 異周速圧延による集合組織発展のマルチスケール有限要素解析2007
Author(s)
高橋 聖治, 仲町 英治, 田中 和人, 片山 傳生, 倉前 宏行, Nguyen Ngoc Tam, 中村 康範
Organizer
日本塑性加工学会第58回塑性加工連合講演会
Place of Presentation
札幌市教育文化会館・北海道厚生年金会館,札幌市
Year and Date
2007-10-26
Description
「研究成果報告書概要(和文)」より
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[Presentation] 混相流の数値解析-流体の併合2007
Author(s)
田端 正久
Organizer
日本数学会2007年度秋季総合分科会
Place of Presentation
東北大学川内北キャンパス,仙台
Year and Date
2007-09-23
Description
「研究成果報告書概要(和文)」より
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[Presentation] 無限精度数値計算法2007
Author(s)
今井 仁司
Organizer
中国・四国OR学会第2回支部定例シンポジウム
Place of Presentation
徳島大学
Year and Date
2007-09-07
Description
「研究成果報告書概要(和文)」より
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[Presentation] 高分子水溶液の動的表面張力2007
Author(s)
金子 知央, 州口 正美
Organizer
第56回高分子学会年次大会
Place of Presentation
国立京都国際会館
Year and Date
2007-05-29
Description
「研究成果報告書概要(和文)」より
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[Presentation] 特異拡散方程式とその応用2006
Author(s)
儀我 美一
Organizer
発展法手式若手セミナー
Place of Presentation
六甲山セミナーハウス,神戸
Year and Date
2006-08-07
Description
「研究成果報告書概要(和文)」より
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[Presentation] 2流体問題の有限要素解析2005
Author(s)
福島 吉則, 田端 正久
Organizer
応用数学合同研究集会
Place of Presentation
龍谷大学瀬田キャンパス,大津
Year and Date
2005-12-21
Description
「研究成果報告書概要(和文)」より
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[Presentation] 2流体問題の有限要素解の収束性2005
Author(s)
福島 吉則, 田端 正久
Organizer
第19回数値流体力学シンポジウム
Place of Presentation
国立オリンピック記念青少年総合センター,東京
Year and Date
2005-12-14
Description
「研究成果報告書概要(和文)」より
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[Presentation] 二流体問題の有限要素計算と解析2005
Author(s)
福島 吉則, 田端 正久
Organizer
日本応用数理学会2005年度年会
Place of Presentation
東北大学青葉山キャンパス,仙台
Year and Date
2005-09-25
Description
「研究成果報告書概要(和文)」より
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[Presentation] 遺伝的アルゴリズムの性能評価2004
Author(s)
水藤 寛, 河原田 秀夫, 七澤 洋平
Organizer
日本流通情報学会第1回全国研究発表大会
Place of Presentation
流通経済大学
Year and Date
20040400
Description
「研究成果報告書概要(和文)」より
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[Presentation] Flow Through Porous Media with Absorption2004
Author(s)
K.Tomoeda
Organizer
Minisymposium:Flow Through Porous Media, Mathematical and Numerical Methods II, ECCOMAS 2004 Congress
Place of Presentation
Jyvaskyla Paviljonki International Congress Centre and University of Jyvaskyla,Mattilanniemi
Year and Date
2004-07-27
Description
「研究成果報告書概要(和文)」より
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[Book] 数学辞典第4版2007
Author(s)
友枝 謙二(分担執筆(有限差分法担当))
Total Pages
1976
Publisher
岩波書店(日本数学会編集)
Description
「研究成果報告書概要(和文)」より
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[Book] 高分子事典2005
Author(s)
川口 正美(分担執筆)
Total Pages
830
Publisher
朝倉書店
Description
「研究成果報告書概要(和文)」より
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[Book] 新しい乳化技術2004
Author(s)
川口 正美(分担執筆)
Total Pages
270
Publisher
情報機構
Description
「研究成果報告書概要(和文)」より
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[Book] レオロジー2004
Author(s)
川口 正美(分担執筆)
Total Pages
285
Publisher
情報機構
Description
「研究成果報告書概要(和文)」より