A variational approach to the modeling and analysis of droplet and bubble motions
| Project/Area Number |
25800087
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Hokkaido University |
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Principal Investigator |
Ginder Elliott 北海道大学, 電子科学研究所, 助教 (30648217)
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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 |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | droplet motion / threshold dynamics / free boundary problems / variational methods / numerical algorithm / Threshold dynamics / approximation scheme |
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| Outline of Final Research Achievements |
This research analyzed and simulated a mathematical model which describes the motion of droplets and bubbles. We used a variational method known as minimizing movements to treat our equation from the point of view of energy. Droplet contact angle dynamics were also incorporated by using techniques from the calculus of variations, and we built numerical methods for simulating the droplet motions (including coalesce and division). We also discovered a threshold dynamical algorithm for approximating interface motion by hyperbolic mean curvature flow. This research was awarded the Mathematical Society of Japan’s 2013 Prize for Excellent Young Applied Mathematicians.
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Report
(4 results)
Research Products
(24 results)
