Volume 2, Issue 2
The Pressure-StreamFunction MFS Formulation for the Detection of an Obstacle Immersed in a Two-Dimensional Stokes Flow

A. Karageorghis & D. Lesnic

Adv. Appl. Math. Mech., 2 (2010), pp. 183-199.

Published online: 2010-02

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  • Abstract

In this paper we consider a geometric inverse problem which requires detecting an unknown obstacle such as a submarine or an aquatic mine immersed in a Stokes slow viscous stationary flow of an incompressible fluid, from a single set of Cauchy (fluid velocity and stress force) boundary measurements. The numerical reconstruction is based on the method of fundamental solutions (MFS) for the pressure and streamfunction in two dimensions combined with regularization. Numerical results are presented and discussed.

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@Article{AAMM-2-183, author = {}, title = {The Pressure-StreamFunction MFS Formulation for the Detection of an Obstacle Immersed in a Two-Dimensional Stokes Flow}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {2}, pages = {183--199}, abstract = {

In this paper we consider a geometric inverse problem which requires detecting an unknown obstacle such as a submarine or an aquatic mine immersed in a Stokes slow viscous stationary flow of an incompressible fluid, from a single set of Cauchy (fluid velocity and stress force) boundary measurements. The numerical reconstruction is based on the method of fundamental solutions (MFS) for the pressure and streamfunction in two dimensions combined with regularization. Numerical results are presented and discussed.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0962}, url = {http://global-sci.org/intro/article_detail/aamm/8326.html} }
TY - JOUR T1 - The Pressure-StreamFunction MFS Formulation for the Detection of an Obstacle Immersed in a Two-Dimensional Stokes Flow JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 183 EP - 199 PY - 2010 DA - 2010/02 SN - 2 DO - http://dor.org/10.4208/aamm.09-m0962 UR - https://global-sci.org/intro/aamm/8326.html KW - AB -

In this paper we consider a geometric inverse problem which requires detecting an unknown obstacle such as a submarine or an aquatic mine immersed in a Stokes slow viscous stationary flow of an incompressible fluid, from a single set of Cauchy (fluid velocity and stress force) boundary measurements. The numerical reconstruction is based on the method of fundamental solutions (MFS) for the pressure and streamfunction in two dimensions combined with regularization. Numerical results are presented and discussed.

A. Karageorghis & D. Lesnic. (1970). The Pressure-StreamFunction MFS Formulation for the Detection of an Obstacle Immersed in a Two-Dimensional Stokes Flow. Advances in Applied Mathematics and Mechanics. 2 (2). 183-199. doi:10.4208/aamm.09-m0962
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