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. / Graduation date: 1999
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/33743 |
| Date | 11 June 1998 |
| Creators | Schuster, Markus |
| Contributors | Guenther, Ronald B. |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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