In this paper we discuss numerical method for a pore scale model for precipitation and dissolution in porous media.We focus here on the chemistry, which is modeled by a parabolic problem that is coupled through the boundary conditions to an ordinary differential inclusion. A semi-implicit time stepping is combined with a regularization approach to construct a stable and convergent numerical scheme. For dealing with the emerging time discrete nonlinear problems we propose here a simple fixed point iterative procedure.
|Title of host publication||Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005)|
|Editors||A. Bermúdez de Castro, D. Gómez, P. Quintela, P. Salgado|
|Place of Publication||Berlin|
|Publication status||Published - 2006|