caa a22 4500 463162536 CHVBK 20180406164751.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s11242-006-9081-4 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9081-4 A linearization technique for multi-species transport problems [Elektronische Daten] [Neyva Romeiro, Rigoberto Castro, Sandra Malta, Luiz Landau] We study a one-dimensional multi-species system of dispersive-advective contaminant transport equations coupled by nonlinear biological (kinetic reactions) and physical (adsorption) processes. To deal with the nonlinearities and the coupling, and to avoid additional computational costs, we propose a linearization technique based on first-order Taylor's series expansions. A stabilized finite element in space, combined with an Euler implicit finite difference discretization in time, is used to approximate the dispersive-advective transport problem. Three computational tests are performed with different boundary conditions, retardation factors and kinetic parameters for a nonlinear reactive multi-species transport model. The proposed methodology is shown to be accurate and decrease computational costs in the numerical implementation of nonlinear reactive transport problems. Springer Science+Business Media, Inc., 2007 Taylor's series expansions nationallicence Analytical solutions nationallicence Stabilized finite element method nationallicence Nonlinear reactions nationallicence Multi-species transport models nationallicence Romeiro Neyva Universidade Estadual de Londrina, 86051-990, Londrina, PR, Brazil aut Castro Rigoberto Universidade Estadual do Norte Fluminense, 28013-600, Campos dos Goytagazes, RJ, Brazil aut Malta Sandra Universidade Federal do Estado do Rio de Janeiro, DME, Av. Pasteur, 458, 22290-240, Urca, RJ, Brazil aut Landau Luiz Universidade Federal do Rio de Janeiro, COPPE, 21945-970, Rio de Janeiro, RJ, Brazil aut Transport in Porous Media Springer Netherlands 70/1(2007-10-01), 1-10 0169-3913 70:1<1 2007 70 11242 https://doi.org/10.1007/s11242-006-9081-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9081-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Romeiro Neyva Universidade Estadual de Londrina, 86051-990, Londrina, PR, Brazil aut NATIONALLICENCE 700 1- Castro Rigoberto Universidade Estadual do Norte Fluminense, 28013-600, Campos dos Goytagazes, RJ, Brazil aut NATIONALLICENCE 700 1- Malta Sandra Universidade Federal do Estado do Rio de Janeiro, DME, Av. Pasteur, 458, 22290-240, Urca, RJ, Brazil aut NATIONALLICENCE 700 1- Landau Luiz Universidade Federal do Rio de Janeiro, COPPE, 21945-970, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 773 0- Transport in Porous Media Springer Netherlands 70/1(2007-10-01), 1-10 0169-3913 70:1<1 2007 70 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer