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Zbl 0594.76087
Russell, Thomas F.
Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. (English)
[J] SIAM J. Numer. Anal. 22, 970-1013 (1985). ISSN 0036-1429; ISSN 1095-7170/e

In this paper miscible displacement of one incompressible fluid by another in a porous medium is modeled by a nonlinear coupled system of two partial differential equations. The solution algorithm proposed uses a standard Galerkin procedure for pressures and a combination of Galerkin procedure and method of characteristics for concentration. Convergence rates for the proposed algorithms are discussed in detail. The author indicates that numerical the results obtained (which are published elsewhere) show that larger time steps are appropriate with this scheme, and that the approximations exhibit improved qualitative behavior.
[M.Aral]

MSC 2000:: *76S05 Flows in porous media
76M99 Basic methods in fluid mechanics
65C20 Models (numerical methods)

Keywords: miscible displacement; nonlinear coupled system of two partial differential equations; standard Galerkin procedure for pressures; Galerkin procedure; method of characteristics for concentration; Convergence rates

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