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Application of a Moving-grid Method to a Class of 1D Brine Transport Problems in Porous Media
註釋The method is of the finite-difference type, implicit, and thus applicable to wide classes of (one-space dimensional) partial differential equation systems. The main feature of the method, however, is that it can automatically move the spatial grid for evolving time and thus is able to refine the grid in regions with large spatial transitions. The grid refinement has proven to be a very valuable facility in the numerical modeling of brine transport problems involving low and high salt concentrations. From the user's point of view, an additional advantage of the moving-grid method is that is can be implemented in advanced, user- oriented method-of-lines software packages based on implicit stiff ODE solvers.