Non Fickian diffusion in porous media
 
 
Description:  Transport processes in porous media have being described by the classical convection-diffusion equation for the concentration coupled with an elliptic equation for the pressure and Darcy’s law for the velocity. Despite the popularity of this model, gaps between experimental data and simulation results were observed in different scenarios. To overcome the limitation of the traditional diffusion models, integro-differential models involving an integral in time were proposed. In this case, Fick’s law that defines a relation between the mass flux and the gradient of the concentration is replaced by an equation where the mass flux is given by the past in time of the gradient of the concentration. In this talk, we present some numerical analysis results for IBVPs defined by integro-differential equations for the concentration and elliptic equations for the pressure.
Date:  2017-02-22
Start Time:   15:40
Speaker:  José Augusto Ferreira (CMUC, Univ. Coimbra)
Institution:  CMUC
Place:  Room 2.5
Organization:  UC|UP Joint PhD Program in Mathematics
See more:   <Main>   <UC|UP MATH PhD Program>  
 
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