| Project/Area Number |
25540044
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
High performance computing
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| Research Institution | Kyushu University |
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Principal Investigator |
Kikuuwe Ryo 九州大学, 工学(系)研究科(研究院), 准教授 (90362326)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 実時間シミュレーション / コンピュータグラフィックス / 非線形連立微分包含式 / 数値積分 / 非線形連立微分方程式 / 柔軟体 / 有限要素法 |
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| Outline of Final Research Achievements |
Mechanical systems involving friction and contact are represented by differential equations involving discontinuities, which are referred to as differential inclusions. They are mathematically elegant but are cumbersome in numerical simulations. Moreover, if the system also involves deformable continua and if the simulation needs to run in realtime, one must solve a huge system of nonlinear equations every timestep, which is typically about 0.001 to 0.03s. Computational techniques needed for such applications should assure the stability rather than quantitative accuracy or physical faithfulness. Such requirements are different from those for conventional applications of simulation software such as those for offline numerical analysis. In this research project, we have developed various elemental computational techniques and mathematical tools to deal with mechanical systems involving continua and discontinuities for realtime simulation.
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