Computation of the stresses on a rigid body in exterior stokes and oseen flows Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/4q77ft50p

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  • This paper is about the computation of the stresses on a rigid body from a knowledge of the far field velocities in exterior Stokes and Oseen flows. The surface of the body is assumed to be bounded and smooth, and the body is assumed to move with constant velocity. We give fundamental solutions and derive boundary integral equations for the stresses. As it turns out, these integral equations are singular, and their null space is spanned by the normal to the body. We then discretize the problem by replacing the body by an approximating polyhedron with triangular faces. Using a collocation method, each integral equation delivers a linear system. Since its matrix approximates a singular integral operator, the matrix is ill-conditioned, and the solution is unstable. However, since we know that the problem is uniquely solvable in the hyperspace orthogonal to the normal, we use regularization methods to get stable solutions and project them in the normal direction onto the hyperspace.
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  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-09-21T18:02:15Z (GMT) No. of bitstreams: 1 SchusterMarkus1999.pdf: 2259683 bytes, checksum: d00be2de4b685732b1331890336654ef (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-09-21T18:00:35Z (GMT) No. of bitstreams: 1 SchusterMarkus1999.pdf: 2259683 bytes, checksum: d00be2de4b685732b1331890336654ef (MD5)

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