Abstract (EN):
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 an 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.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
6