An direct boundary integral equations method to Stokes flow past rigid bodies in ground effect

• Autorzy: Kohr M.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to give a direct boundary integral equations method for the slow motion of some rigid bodies of an arbitrary shape, near a plane wall in a viscous incompressible fluid. By using an integral representation of the velocity field as a sum between single-layer potentials and double-layer potentials, the problem is reduced to the study of a Fredholm integral system of the second kind. By following the properties of the single-layer and double-layer operators, the existence and uniqueness result of the corresponding solution is given. The numerical results are obtained by a standard boundary element method.

Słowa kluczowe

EN

Stokes flow; Green's functions; double-layer and single-layer potentials; compact operators; Fredholm's results

PL

hydromechanika

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: Applied Mechanics and Engineering
• Rocznik: 1998
• Tom: Vol. 3, no 2
• Strony: 217--232
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Kohr M.

• University Babes-Bolyai, Faculty of Mathematics Cluj - Napoca, ROMANIA