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Integral equation method for the study of two dimensional stokes flow

Integralgleichungsmethode für ebene Stokes-Strömungen

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Summary

An integral equation method applicable to two-dimensional Stokes flows for incompressible Newtonian isoviscous fluids is presented here. This new formulation only involves the physical quantities usually defined on the boundary in fluid mechanics. Through a discretization of boundary integral equations, we prove the numerical efficiency of our method by solving three problems.

Zusammenfassung

In der vorliegenden Arbeit wird eine Integralgleichungsmethode beschrieben, die auf ebene Stokes-Strömungen (schleichende Strömungen) einer inkompressiblen Newtonschen Flüssigkeit anwendbar ist. Diese neue Formulierung verwendet nur die in der Strömungsmechanik üblicherweise am Rand vorgegebenen physikalischen Größen. Nach einer Diskretisierung der Randintegrale zeigen wir die Leistungsfähigkeit unserer numerischen Methode, indem wir drei Probleme lösen.

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  1. Laboratoire de Mécanique des Solides, Equipe de Recherche Associée au CNRS, Avenue du Recteur Pineau 40, F-86022, Poitiers Cedex, France

    G. Bézine & D. Bonneau

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  1. G. Bézine
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  2. D. Bonneau
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Bézine, G., Bonneau, D. Integral equation method for the study of two dimensional stokes flow. Acta Mechanica 41, 197–209 (1981). https://doi.org/10.1007/BF01177347

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  • DOI: https://doi.org/10.1007/BF01177347

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