SEMI-ANALYTICAL SOLUTIONS OF A CONTAMINANT TRANSPORT EQUATION WITH NONLINEAR SORPTION IN 1D

dc.contributor.author	Frolkovič P.
dc.contributor.author	Kačur J.
dc.date.accessioned	2024-10-18T08:57:36Z
dc.date.available	2024-10-18T08:57:36Z
dc.date.issued	2006
dc.identifier	https://www.elibrary.ru/item.asp?id=51058257
dc.identifier.citation	Computational Geosciences, 2006, 10, 3, 279-290
dc.identifier.issn	1420-0597
dc.identifier.uri	https://repository.geologyscience.ru/handle/123456789/45972
dc.description.abstract	A new method to determine semi-analytical solutions of one-dimensional contaminant transport problem with nonlinear sorption is described. This method is based on operator splitting approach where the convective transport is solved exactly and the diffusive transport by finite volume method. The exact solutions for all sorption isotherms of Freundlich and Langmuir type are presented for the case of piecewise constant initial profile and zero diffusion. Very precise numerical results for transport with small diffusion can be obtained even for larger time steps (e.g., when the Courant-Friedrichs-Lewy (CFL) condition failed).
dc.subject	CONTAMINANT TRANSPORT
dc.subject	FINITE VOLUME METHOD
dc.subject	FREUNDLICH ISOTHERM
dc.subject	NONLINEAR SORPTION
dc.subject	35K65
dc.subject	35L67
dc.subject	65M25
dc.title	SEMI-ANALYTICAL SOLUTIONS OF A CONTAMINANT TRANSPORT EQUATION WITH NONLINEAR SORPTION IN 1D
dc.type	Статья
dc.identifier.doi	10.1007/s10596-006-9023-9

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