Numerical analysis method of heat transfer in an electronic component using sensitivity analysis

Abstract

Numerical models applied to real-life engineering processes have many input parameters that are not always known with a sufficient degree of certainty. Moreover, models are characterized by their mathematical complexity and time-consuming calculations. In this context, our certified reduced basis (crb) model is developed taking into account the input uncertainties which produce many uncertain and different outputs. In order to assess more precisely the relative importance of input parameters on the model outputs, we complete and use a quantitative sensitivity analysis which is a crucial tool in the development and evaluation of complex models. In the current paper, the parametrized crb method is introduced and applied successfully for a simplified 2D heat transfer of electronic components. Furthermore, different sensitivity analysis methods have been compared; Specifically, we have used linear sensitivity methods, one factor at a time design, and global techniques such as Morris one factor at a time, Sobol's methods and Monte Carlo sampling coupled with scatter plot and correlation analysis.