Perturbed integral equation method on determining unknown geometry in fluid flow |
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Institution: | 1. Department of Mathematics, Sunmoon University, Asansi, Choongnam 336-708, Republic of Korea;2. Department of Mechanical Engineering, KAIST, Daejeon 305-701, Republic of Korea;3. Department of Mathematics, Ajou University, Suwon 442-749, Republic of Korea |
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Abstract: | We consider an inverse problem arising in fluid flow. An algorithm to find the shape of a body in uniform flow is proposed when the tangential velocity on its boundary is given a priori. The fluid flow is assumed to be inviscid, incompressible and irrotational.The essential idea to develop our algorithm is the boundary modification process toward the solution shape with the help of the perturbed integral equations. The perturbed integral equations are derived from the boundary perturbation. We also give examples exhibiting the reliability for our proposed algorithm. |
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