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We introduce a solver method for spatially dependent and nonlinear fluid transport. The motivation is from transport processes in porous media (e.g., waste disposal and chemical deposition processes). We analyze the coupled transport-reaction equation with mobile and immobile areas. The main idea is to apply transformation methods to spatial and nonlinear terms to obtain linear or nonlinear ordinary differential equations. Such differential equations can be simply solved with Laplace transformation...
Our studies are motivated by a desire to model long-time simulations of possible scenarios for a waste disposal. Numerical methods are
developed for solving the arising systems of convection-diffusion-dispersion-reaction
equations, and the received results of several discretization
methods are presented. We concentrate on linear reaction systems, which
can be solved analytically.
In the numerical methods, we use large time-steps to achieve
long simulation times of about 10 000 years.
We propose...
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