Finite-difference schemes for the computation of viscoplastic medium flows in a channel

E. A. Muravleva

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Two finite-difference schemes for the computation of incompressible Bingham fluid flows in pipes are proposed. The variational Duvaut-Lions inequality is used as a mathematical model. One of the difference schemes is an analogue of the well-known MAC (marker-and-cell) scheme on staggered grids, the second employs one grid for velocity approximation, and the other for all the components of the strain rate tensor. The convergence of finite-difference schemes and the iteration method are studied. The obtained results are compared with those known from publications. The proposed schemes were used to compute Bingham medium with an inhomogeneous yield stress.

Original languageEnglish
Pages (from-to)768-779
Number of pages12
JournalMathematical Models and Computer Simulations
Volume1
Issue number6
DOIs
Publication statusPublished - 1 Dec 2009
Externally publishedYes

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