Perturbed integral equation method on determining unknown geometry in fluid flow

Authors:
Do Wan Kim;Jeong Ho Chu;Hyeong-Ohk Bae
Affiliations:
Department of Mathematics, Sunmoon University, Asansi, Choongnam 336-708, Republic of Korea;Department of Mechanical Engineering, KAIST, Daejeon 305-701, Republic of Korea;Department of Mathematics, Ajou University, Suwon 442-749, Republic of Korea
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

Citing 3
Cited 0

Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions

Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions
Inverse problem in incompressible, irrotational axisymmetric flow

Journal of Computational Physics
An algorithm for the solution of inverse Laplace problems and its application in flaw identification in materials

Journal of Computational Physics

Quantified Score

Hi-index	7.29

Visualization

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.