The problem of torsion of composite shafts consisting of a cylindrical matrix surrounding a ΓΏnite number of inclusions is solved by using the complex variable boundary element method. The method consists in reducing the problem to the solution of a singular integral equation in terms of an analytic
Complex variable boundary element method for potential flow with thin objects
β Scribed by Kozo Sato
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 365 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0045-7825
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β¦ Synopsis
A complex variable boundary element method (CVBEM) is developed for potential flow in the presence of thin objects. Singularities caused by such objects are expressed analytically through the conformal mapping technique, and the resultant singular solution is coupled with the CVBEM by the principle of superposition. This can be done by virtue of the semi-analytic nature of the CVBEM. The numerical results for example problems including flow barriers and high-conductivity fractures confirm that the proposed model yields accurate solutions of the velocity potential and the stream function within the flow domain.
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