Abstract
The last part of the paper presents an efficient numerical scheme to approximate the solution of the twoscale model. This scheme has as starting point the algorithm in [M. Redeker and C. Eck. A fast and accurate adaptive solution strategy for two-scale models with continuous inter-scale dependencies. J. Comput. Phys., 240:268‐283, 2013]. After some test cases validating the method, we finally present computations for several realistic scenarios. The results demonstrate the interdependence of the change of the pore structure due to precepitaion/dissolution and the evolution of the Darcy scale concentration of the dissolved particles in the one fluid.
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