Abstract
Abstract A moving finite element method (MFEM) is developed for the numerical solutions of time-dependent partial differential equations involving solid-fluid reactions. Our MFEM generates an adaptive mesh for each dependent variable so, through spatial domain decomposition, it can be modified in order to be and efficient solver for a class of problems showing a moving internal boundary. The algorithm was tested in the numerical simulation of a non catalytic solid-fluid reaction modelled by the (a) isothermal, (b) non-isothermal shrinking core model with non-linear kinetics. This work establishes the effectiveness and applicability of the MFEM in solving moving boundary problems.
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