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JOURNALS // Matematicheskoe modelirovanie

Mat. Model., 2008, Volume 20, Number 12, Pages 76–88 (Mi mm2716)

Finite-difference schemes for computation viscoplastic medium flow in channel
E. A. Muravleva

References

1. Shwedov F. N., “La rigidite de liquides”, Rapport Congr. Intern. Phys., v. 1, Paris, 1900, 478–486
2. Bingham F. C., Fluidity and Plasticity, New York, 1922
3. Genki G., “Prostranstvennaya zadacha uprugogo i plasticheskogo ravnovesiya”, Izv. AN SSSR. OTN, 1937, no. 2
4. Ilyushin A. A., “Deformatsiya vyazko-plasticheskogo tela”, Uch. zapiski MGU. Mekhanika, 1940, no. 39
5. Oldroyd J. G., “Two-dimensional plastic flow of a Bingham solid. A plastic boundary-layer theory for slow motion”, Proc. Camb. Phil. Soc., 43 (1947), 383–395  crossref  mathscinet  zmath
6. Prager W., “On Slow Visco-Plastic Flow”, Chapter, Studies in Mathematics and Mechaniscs, Volume presented to Richard fon Mises, Academic Press, 1954  mathscinet  zmath
7. Mosolov P. P., Myasnikov V. P., “Variatsionnye metody v teorii techenii vyazko-plasticheskoi sredy”, PMM, 29:3 (1965), 468–492  zmath
8. Mosolov P. P., Myasnikov V. P., “O zastoinykh zonakh techeniya vyazko-plasticheskoi sredy v trubakh”, PMM, 30:4 (1966), 705–717  zmath
9. Mosolov P. P., Myasnikov V. P., “O kachestvennykh osobennostyakh techenii vyazko-plasticheskoi sredy v trubakh”, PMM, 31:3 (1967), 609–613  mathscinet  zmath
10. Dyuvo G., Lions Zh.-L., Neravenstva v mekhanike i fizike, Nauka, M., 1980  mathscinet
11. Mosolov P. P., Myasnikov V. P., Variatsionnye metody v teorii techenii zhestko-vyazkoplasticheskikh sred, Izd-vo MGU, M., 1971
12. Dean E. J., Glowinski R., Guidoboni G., “On the numerical simulation of Bingham visco-plastic flow: Old and New results”, J. Non-Newtonian Fluid Mech., 142 (2007), 36–62  crossref  zmath
13. Glovinski R., Lions Zh.-L., Tremoler R., Chislennoe issledovanie variatsionnykh neravenstv, Mir, M., 1979  mathscinet
14. Glowinski R., Numerical methods for Nonlinear Variational Problems, Springer-Verlag, New York, 1984  mathscinet  zmath
15. Karchevskii M. M., Lyashko A. D., Raznostnye skhemy dlya nelineinykh zadach matematicheskoi fiziki, Izd-vo KGU, Kazan, 1976
16. Lapin A. V., Vvedenie v teoriyu variatsionnykh neravenstv, Izd-vo KGU, Kazan, 1981  zmath
17. Lapin A. V., Setochnye approksimatsii variatsionnykh neravenstv, Izd-vo KGU, Kazan, 1984
18. Roquet N., Saramito P., “An adaptive finite element method for viscoplastic fluid flows in pipes”, Comput. Meth. Appl. Mech. Eng., 190:40 (2001), 5391–5412  crossref  zmath
19. Moyers-Gonzalez M. A., Frigaard I. A., “Numerical solution of duct flows of multiple visco-plastic fluids”, J. Non-Newtonian Fluid Mech., 122 (2004), 227–241  crossref  zmath
20. Huilgol R. R., You Z., “Application of the augumented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids”, J. Non-Newtonian Fluid Mech., 128 (2005), 126–143  crossref
21. Fletcher K., Vychislitelnye metody v dinamike zhidkostei, T. 2, Mir, M., 1991


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