The method of fundamental solutions for inverse 2D Stokes problems |
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| Authors: | C W Chen D L Young C C Tsai K Murugesan |
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| Affiliation: | (1) Department of Civil Engineering & Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan;(2) Department of Information Technology, Toko University, Chia-Yi County, Taiwan |
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| Abstract: | A numerical scheme based on the method of fundamental solutions is proposed for the solution of two-dimensional boundary inverse
Stokes problems, which involve over-specified or under-specified boundary conditions. The coefficients of the fundamental
solutions for the inverse problems are determined by properly selecting the number of collocation points using all the known
boundary values of the field variables. The boundary points of the inverse problems are collocated using the Stokeslet as
the source points. Validation results obtained for two test cases of inverse Stokes flow in a circular cavity, without involving
any iterative procedure, indicate the proposed method is able to predict results close to the analytical solutions. The effects
of the number and the radius of the source points on the accuracy of numerical predictions have also been investigated. The
capability of the method is demonstrated by solving different types of inverse problems obtained by assuming mixed combinations
of field variables on varying number of under- and over-specified boundary segments. |
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| Keywords: | Method of fundamental solutions Stokeslet Inverse problem Circular cavity Meshless numerical method |
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