Numerical analysis of phenomenon with singularities in engineering

工程奇点现象的数值分析

• 批准号: 07305003
• 负责人: OHTSUKA Kohji
• 金额: $ 1.79万
• 依托单位: Hiroshima-Denki Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07305003/
• 关键词: Phenomenon with singularities; Theoretical research; Numerical Analysis; Fracture Phenomenon; flow problems; Simulation; Large-scale calculation; WWW homepage; 数理工学; 特異解; 破壊力学; CAEツール

By the development of technology, penomenon with singularities arise in engineering, for example, fracture phenomenon, complex flow. Now we want to study theoretically and numerically such phenomenon. Professor Tabata develop new technique for axisymmetric flow problems. Professor Fujino also develop the numerical calculations for large-scale linear equations. Professor Aoi and Yoshimura research numerically complex air flow near buildings. Professor Miyoshi, Yatomi, Nishimura, Ohtsuka organize the conference "Theoretical Studies on Fracture Phenomenon" in which mathematician and engineer got together and discussed. By this conference, we have the network between scholars of fracture in different field. The results are collected in book "Theoretical Studies on Fracture Phenomenon". You will get the informations from the homepage in <http : //barnard.c.hiroshima-dit.ac.jp> about this group.

随着科学技术的发展，工程中出现了许多奇异现象，如断裂现象、复杂流动等。现在我们要从理论上和数值上研究这种现象。Tabata教授开发了轴对称流动问题的新技术。藤野教授还发展了大型线性方程的数值计算。教授苍井空和吉村研究数值复杂的空气流动建筑物附近。三好、弥富市、西村、大冢教授组织了“断裂现象的理论研究”会议，数学家和工程师聚集在一起讨论。通过这次会议，我们建立了不同领域的断裂学者之间的网络。研究结果已收入《断裂现象的理论研究》一书。您将从<http：//barnard.c.hiroshima-dit.ac.jp>的主页上获得有关该组的信息。

项目成果

阿部 孝弘, 矢富 盟祥, 橋本 堅一: "エネルギー解放率による破壊基準を用いたき裂干渉問題に関する一考察" 第8回破壊力学シンポジュウム論文集. 97-101 (1995)

Takahiro Abe、Meyoshi Yatomi、Kenichi Hashimoto：“使用基于能量释放率的断裂准则研究裂纹干扰问题”第八届断裂力学研讨会论文集97-101（1995）。

S.Fujino and T.Takeuchi: "ILU factorization well-suited to vector processor using a variant of 5-point difference scheme" Computer Physics Communications. 85. 371-381 (1995)

S.Fujino 和 T.Takeuchi：“ILU 分解非常适合使用 5 点差分方案变体的矢量处理器”计算机物理通信。

M. Tabata: "Mixed and stabilized finite element approximations to axisymmetric flow" Computational Fluid Dynamics '94. 176-180 (1994)

M. Tabata：“轴对称流动的混合和稳定有限元近似”计算流体动力学94。

K. Kaminishi and T. Miyoshi: "Numerical Technique in application of the method of arbitrary lines to elastic-plastic analysis" Computational Mechanics '95. 1. 1298-1303 (1995)

K. Kaminishi 和 T. Miyoshi：“任意线方法在弹塑性分析中的应用数值技术”计算力学 95。

S.Fujino, T.Takeuchi: "ILU factorization well-suited to vector processor using a variant of 5-point difference scheme" Computer Physics Communications. 85. 371-381 (1995)

S.Fujino、T.Takeuchi：“ILU 分解非常适合使用 5 点差分方案变体的矢量处理器”计算机物理通信。