Finite-difference schemes for computation viscoplastic medium flow in channel

We consider two finite-difference schemes for computation incompressible Bingham fluid flow in channel. We use variational inequality by Duvaut–Lions as a mathematical model. One of the schemes is an analogue of well-known MAC-scheme on staggered grids, second has one mesh for velocity approximation and another – for all rate-of-deformation tensor components. Convergence of finite-difference schemes and iterative process is investigated. Obtained results are compared and consistent with known from literature. We use suggested schemes for modeling flow of non-homogeneous Bingham medium.