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The mathematical simulation of the liquid transport in a multilayered nonwoven

  • In this report we treat an optimization task, which should make the choice of nonwoven for making diapers faster. A mathematical model for the liquid transport in nonwoven is developed. The main attention is focussed on the handling of fully and partially saturated zones, which leads to a parabolic-elliptic problem. Finite-difference schemes are proposed for numerical solving of the differential problem. Paralle algorithms are considered and results of numerical experiments are given.

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Author:Raimondas Ciegis, Aivars Zemitis
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5893
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (184)
Document Type:Preprint
Language of publication:English
Year of Completion:1997
Year of Publication:1997
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:Elliptic-parabolic equation; finite-difference methods; parallel numerical algorithms; porous media
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K65 Degenerate parabolic equations
65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M06 Finite difference methods
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Sxx Flows in porous media; filtration; seepage / 76S05 Flows in porous media; filtration; seepage
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011