This article is cited in 1 paper

A problem of flow through semipermeable obstacle

A. M. Khludnev^a, A. N. Leont'ev<sup>b

a</sup> M. A. Lavrent'ev Institute of Hydrodynamics
^b Institute of Mathematics, Federal University of Rio de Janeiro

Abstract: This paper deals with mathematical analysis of a potential flow through a thin semipermeable obstacle. The boundary value problem is characterized by the inequality type conditions imposed on a non-smooth component of the boundary. We prove solvability of the boundary value problem and analyze the solution properties. Using boundary elements, an optimization technique for the numerical solution of the problem is proposed. Numerical results for test problems are presented.

Key words: semipermeable obstacle, unilateral boundary conditions, potential flow, boundary elements.

UDC: 519.62/.642

Received: 07.07.2005
Revised: 23.08.2005

Language: English