Modelo numérico de elementos finitos para la simulación de conducción de calor en placas perforadas de metal y materiales compuestos tipo carbono-carbono

Abstract

In this work is presented a numerical model based on finite element method (FEM) for the simulation of heat conduction in perforated plates of metal and material composed of carbon fibers. For this, a mathematical model based on a type Robin boundary problem for the Helmholtz operator is proposed for demonstrating that it is a well-posed problem in the distributions sense. The numerical model was obtained through the equivalent variational problem and its discretization using the Courant finite element for a finite element mesh of size h. The numerical approach was of order h with respect to H1 norm and order h2 with respect to norm L2. Numerical simulations through a designed and implemented code in Matlab were done and thus, the profiles of temperatures were visualized for some test problems assuming a regular perforation in metal plates and carbon fiber materials.