Keywords
- Free Boundary
- Viscous Incompressible Fluid
- Unknown Boundary
- Fluid Numerical Method
- Thin Fluid Layer
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
V.Ya. Rivkind, N.B. Fridman. On the Navier-Stokes equations with discountinuous coefficients. Zapiski nauchn. seminarov LOMI. 1978, Leningrad, v.38, pp. 137–152. (in Russian).
V.Ya. Rivkind. Investigation of a problem of the stationary movement of a drop in the flow of a viscous incompressible fluid. Doklady AN SSSR, 1976, 227, N5, Moscow (in Russian).
V.Ya. Rivkind. Investigation of some problems of the flow of multi-layer viscous incompressible fluids, Trudy Vseoyuznoi konferencli po uravneniyam v chastnyh proizvodnyh (Proceedings of the All-Union conference on partial differential equations, dedicated to the 75-th anniversary of I.G. Petrovskii). Nauka, Moscow, 1978 (in Russian).
V.Ya. Rivkind. Computational methods for fluid-flows of viscous incompressible fluids with free boundaries. Chislenn. Meth.Meh. Sploshnoi sredy, 12, N4, pp. 106–115 (1981), Novosibirsk (in Russian).
Bemelmans J. Liquid drops in a viscous fluid under the influence of gravity and surface tension. Manuscripta math., 36, 1981, 105–123.
Yerunova I.B. Investigation of a problem of the stationary movement of two fluids in a vessl. Doklady AN SSSR, 1984, v.279, N1.
J. Sokolovskiy. Eine verallgemeinerte Leitlinienmethode zur Berechnung wehrschichtiger Strömungen nichtlinearviskoser Fluide. J.Appl. Maths and Phys. (ZAMP) v.39, März 1988, p. 221.
V.Ya. Rivkind. Approximate Methods for solving problems of viscous fluid with a free boundary. Numerical Methods and Applications. Sofia, 1985.
V.V. Puhnachev. A non-stationarymproblem for the Navier-Stokes equations with a free boundary in plane. Prikl.mat. i tehn. fizika, 1973, N3, Novosibirsk (in Russian).
V.A. Solonnikov, V.E. Scadilov. On one boundary value problem for the stationary Navier-Stokes equations system. Trudy mat. inst. AN SSSR, 1973, 125, Leningrad (in Russian).
W.J. William, L.E. Scriven. Separating flow near a static contact line: Slip at a wall and shape of a free surface. J. Comp. Phys. 34, 287–313 (1980).
A.V. Ilyin. Numerical investigation of problems of thin fluid layers movements. Ph.D. Thesis, Leningrad, 1986 (in Russian).
K.J. Ruschak, A method for incorporating free boundaries with surface tension in finite-element fluid flow simulators. Inst. J.num.meth. engng.15, N5, 639–648 (1980).
S.F. Kistler and L.E. Scriven. Coating flow theory by finite element and asymptotic analysis of the Navier-Stokes system. Int. J. num. meth. fluids 4, 207–229 (1984).
Wang T.G., Saffren M.M., Elleman D.D. Drop dynamics in space. In: Mater.Sci. Space appl. Space Process. New York, 1977, 151–172.
Bushlanov V.P., Vasenin I.M. Stability of a rotating viscous drop. Teplofiz. i fiz. gidrodinamika. Novosibirsk, 1978, pp. 9–14 (in Russian).
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© 1990 Springer-Verlag
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Rivkind, V.Y. (1990). Numerical methods for the Navier-Stokes equations with an unknown boundary between two viscous incompressible fluids. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086070
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DOI: https://doi.org/10.1007/BFb0086070
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