Numerical analysis to support splitting and merging phenomena in interfacial dynamics
| Project/Area Number |
23540171
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto University (2014)
Osaka Institute of Technology (2011-2013) |
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Principal Investigator |
TOMOEDA Kenji 京都大学, 情報学研究科, 研究員 (60033916)
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| Co-Investigator(Renkei-kenkyūsha) |
IMAI Hitoshi 同志社大学, 理工学部, 教授 (80203298)
KURAMA Hiroyuki 大阪工業大学, 工学部, 准教授 (90298802)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 自由境界サポートの分離・併合 / 界面ダイナミクス / 自由境界 / 差分法 / 応用数学 / サポート分離併合 |
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| Outline of Final Research Achievements |
Numerical experiments suggest interesting properties in the several fields. Among such properties, there are support splitting and merging phenomena in the behaviour of non-stationary seepage. The model equation in one dimensional space is written in the form of the initial-boundary value problem with the effect of a non-linear filtration.
In this study, such phenomena are realized by use of finite difference schemes, and are justified from numerical and analytical points of view. Thus we obtained following results: (1) Our difference scheme has the property of the stability and the convergence; (2) The solution of the initial-boundary value problem converges to the stationary solution when the boundary conditions are constant; (3) Repeated support splitting and merging phenomena appears when the period of the boundary conditions is sufficiently long; (4) We are able to show some example such that the support splitting phenomena never appears when the period is sufficiently short.
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Report
(5 results)
Research Products
(18 results)
