Analysis of Heat and Fluid Flow Problems in a Multiply-Connected Region, using a Conformal Mapping
| Project/Area Number |
20540108
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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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 | Tokyo Institute of Technology |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 数理物理 / 数理工学 / シミュレーション工学 / 流体工学 |
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| Research Abstract |
Extension and applicability of conformal mapping used in a finite difference scheme is investigated. Univalence of conformal mapping required is searched in a family of functions possessing parameters, whereas an explicit condition for multiply-connectedness is clearly introduced and several concrete conformal mapping functions for a multiply-connected domain are proposed, supplemented with a transform of a variable if any, since such a conformal mapping function is not uniquely determined as long as only corresponding boundary configurations are specified a priori.
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Report
(6 results)
Research Products
(30 results)
