Applied computational engineering for heat and mass transfer

Description

The student should acquire the basic knowledge in the:

• description of the general differential equation for heat transfer within a fluid flow;
• mathematical derivation of differential equations governing mass transfer;
• formulation of differential equations governing multiphase mass transport in porous media;
• use of numerical tools based on the finite element method: application of Freefem++ to 2-dimensional heat transfer equation;
• control volume finite element method : application of the 3D numerical multiphase multicomponent code cubicM, together with pre- and post-processing tools (Gmsh, Paraview and Gnuplot).

Compétences visées

• Physical understanding of the basic differential equations governing the heat and mass transfer, fluid flow and the related processes;
• Numerical resolution of the advection-diffusion equation for given initial and boundary conditions using either Finite Differences, Finite Elements or Finite Volume Elements;
• Choice of appropriate boundary condition for a given physical problem and evaluation of the achievement of steady-state conditions of heat /mass transfer;
• Quantification of the limits of numerical codes (numerical diffusion, numerical instabilities…).

Contact