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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2007 Volume 149, Book 4, Pages 58–72 (Mi uzku626)

This article is cited in 3 papers

Mixed variable technique for simulating unsaturated-saturated flows

A. A. Akhtareeva, R. Z. Dautovb

a N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
b Kazan State University

Abstract: Mixed variable technique for simulating unsaturated-saturated flows is proposed. It based on a new form of governing equation in term of mixed variable and finite elements method with numerical integration. For homogeneous medium new variable coincides with saturation in one regions and with “normalized” pressure head otherwise. Efficient algorithm for solving discrete problem is proposed. Ñomputational accuracy and robustness of the method are demonstrated by solving four test problems.

UDC: 517.9

Received: 16.10.2007



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