Acknowledgement
Supported by : Kangnung National University
Korean Journal of Mathematics
- Volume 16 Issue 1
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- Pages.25-40
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- 2008
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
A SHAPE OPTIMIZATION METHOD USING COMPLIANT FORMULATION ASSOCIATED WITH THE 2D STOKES CHANNEL FLOWS
- Kim, Hongchul (Department of Mathematics Kangnung National University)
- Received : 2008.01.10
- Published : 2008.03.10
Abstract
We are concerned with a free boundary problem for the 2D Stokes channel flows, which determines the profile of the wing for the channel, so that the given traction force is to be distributed along the wing of the channel. Using the domain embedding technique, the free boundary problem is transferred into the shape optimization problem through the compliant formulation by releasing the traction condition along the variable boundary. The justification of the formulation will be discussed.