Geodesic
Finite-difference schemes for computation viscoplastic medium flow in channel
Matematičeskoe modelirovanie, Tome 20 (2008) no. 12, pp. 76-88

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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. 
@article{MM_2008_20_12_a5,
     author = {E. A. Muravleva},
     title = {Finite-difference schemes for computation viscoplastic medium flow in channel},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {76--88},
     publisher = {mathdoc},
     volume = {20},
     number = {12},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_12_a5/}
}
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E. A. Muravleva. Finite-difference schemes for computation viscoplastic medium flow in channel. Matematičeskoe modelirovanie, Tome 20 (2008) no. 12, pp. 76-88. http://geodesic.mathdoc.fr/item/MM_2008_20_12_a5/