Developing a method for coupling branch modal models

An original method is proposed to reduce diffusion problem characterized by a thermal contact resistance and non-linear boundary conditions. The method use a substructuring technique in which a branch modal basis is obtained for each subdomain. The amalgam reduction method for each basis leads to a global reduced model. A specific flux jump functional allows to optimize reduction. The numerical test case is an electronic component coupled with a radiator and which follows a thermal regulation. For this case a numerical study is made in order to observe the influence of the flux jump functional. Comparison between the detailed model and the reduced one with optimal parameters gives a gain in computation time of 82 for the same precision.