2010 Fiscal Year Final Research Report
Numerical analysis of two-phase flow problems by phase-field models
| Project/Area Number |
21740064
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | The University of Tokyo |
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Principal Investigator |
SAITO Norikazu The University of Tokyo, 大学院・数理科学研究科, 准教授 (00334706)
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| Project Period (FY) |
2009 – 2010
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| Keywords | 応用数学 / 数値解析 / 有限要素法 / 流体 |
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| Research Abstract |
In this work, I have developed new methods of analysis for the finite element method applied to the two-phase problem of the viscous incompressible fluid based on the phase field model. In particular, I have studied a suitable mathematical framework to treat those problems. The main contribution of this work was to give a new methodology on the mathematical theory and numerical analysis of multi-phase fluid-flow problems.
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