Geodesic
Solving the problem of Bingham fluid flow in cylindrical pipeline
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2015), pp. 82-86.

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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. 
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A. V. Lapin; A. D. Romanenko. Solving the problem of Bingham fluid flow in cylindrical pipeline. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2015), pp. 82-86. http://geodesic.mathdoc.fr/item/IVM_2015_2_a9/

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