The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional stokes flow
Date
2010ISSN
2070-0733Source
Advances in Applied Mathematics and MechanicsVolume
2Issue
2Pages
183-199Google Scholar check
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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. © 2010 Global Science Press.