| Abstract: |
| In this talk, we discuss numerical simulations and analysis of mathematical modeling for moisture transport in porous media. Our model is a system of partial differential equations with free boundary motion, coupled with a second order differential equation which presents moisture transport in macro region its outer force depends upon the position of free boundary in micro region, and usual heat equation with free boundary motion its depends on the volume of moisture at the point in the macro region, which presents moisture adsorption in porous. By these dependences, we can see our model is a multi-scale model. I will show you some numerical simulations of the model of adsorption phenomena and moisture transport full model, solvability and numerical stability of approximated equations, and some related topics. |
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