This article is cited in 1 paper

Brief communications

Solving the problem of Bingham fluid flow in cylindrical pipeline

A. V. Lapin, A. D. Romanenko

Chair of Mathematical Statistics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We consider an elliptic variational inequality in a circular domain, which simulates viscoplastic Bingham flow in a pipe. This variational inequality is approximated by finite-difference scheme on a grid in polar coordinates. To solve the finite-dimensional problem we propose a generalized Uzawa-type iterative method. We prove the convergence of the iterative method.

Keywords: Bingham's flow, finite-difference approximation, iterative method.

UDC: 519.632

Presented by the member of Editorial Board: R. Z. Dautov
Received: 25.09.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:2, 67–70

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