LAGRANGE{GALERKIN APPROXIMATION FOR ADVECTION{ DOMINATED NONLINEAR CONTAMINANT TRANSPORT IN POROUS MEDIA supported by British-German ARC Grant
نویسندگان
چکیده
We describe an extension of the Lagrange{Galerkin approach for advection problems with nonlinear (non{)equlibrium adsorption, possibly with isotherms of the Freundlich type. Numerical examples indicate that this method allows for large time steps and still gives nearly exact approximations of shocks and sharp fronts.
منابع مشابه
Lagrange{galerkin Approximation for Advection{dominated Contaminant Transport with Nonlinear Equilibrium or Non{equilibrium Adsorption
An extension of the Lagrange{Galerkin approach is developed for advection-dominated problems with nonlinear adsorption, either being in equilibrium or in non{equilibrium, possibly with isotherms of the Freundlich type. The scheme should be feasable also for the hyperbolic limit case. The basic problems to deal with are the possibility of non{unique characteristics due to the nonlinear isotherms...
متن کاملTwo-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...
متن کاملTwo-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...
متن کاملThree-dimensional analytical models for time-dependent coefficients through uniform and varying plane input source in semi-infinite adsorbing porous media.
In the present study, analytical solutions are developed for three-dimensional advection-dispersion equation (ADE) in semi-infinite adsorbing saturated homogeneous porous medium with time dependent dispersion coefficient. It means porosity of the medium is filled with single fluid(water). Dispersion coefficient is considered proportional to seepage velocity while adsorption coefficient inversel...
متن کاملAn exponential integrator for advection-dominated reactive transport in heterogeneous porous media
We present an exponential time integrator in conjunction with a finite volume discretisation in space for simulating transport by advection and diffusion including chemical reactions in highly heterogeneous porous media representative of geological reservoirs. These numerical integrators are based on the variation of constants solution and solving the linear system exactly. This is at the expen...
متن کامل