HR: 1400h
AN: H53E-06    [Abstracts]
TI: Operator Splitting Method Applied to a System of Advection-Diffusion Equations with Nonlinear Reactions
AU: * Hernandez-Rendon, M
EM: carmen.hernandez@inegi.gob.mx
AF: Instiuto Nacional de Estadística Geografía e Informática, Patritismo 711 Torre A Piso 9, Colonia San Juan Mixcoac, Mexico, D.F., 03730, Mexico
AB: In this work a second order operator splitting method is applied to solve a system of advection-diffusion equations with non linear reaction terms. This kind of systems represents, for example, the transport of species in porous media undergoing biodegradation. Besides the numerical difficulties associated with advection- dominated flows, stiffness may be introduced into the system since the range of characteristic reaction time is huge. This is avoided with the use of the algorithm proposed here. Approximation of time derivative is obtained using standard procedures. The spatial advection-diffusion part is solved by means of the standard Galerkin finite element method. Numerical results are presented and analyzed for different test cases in one spatial dimension. The extension of the algorithm to multridimensional multispecies transport is discussed.
DE: 1832 Groundwater transport
DE: 1847 Modeling
DE: 1849 Numerical approximations and analysis
SC: Hydrology [H]
MN: 2007 Joint Assembly