A NEW FINITE‐ELEMENT DISCRETIZATION TECHNIQUE FOR THE HYDRODYNAMIC FORMULATION OF ENERGY BALANCE EQUATIONS

Abstract

This paper presents a new discretization technique of the hydrodynamic energy balance model based on a finite‐element formulation. The concept of heat source lumping is introduced, and the thermal conductivity model includes the effect of varying both carrier concentrations and temperatures. The energy balance equation is formulated to account for kinetic energy as a convective flow. The new discretization method has the advantage that it allows for assembling the functions out of elementary variables available over elements instead of along element links. Therefore, theoretically, calculation of the Jacobian should be three times faster than by the classic method. Results are given for three examples. The method suffers from mathematical instabilities, but provides a good basis for future work to solve these problems.

Citation

VANKEMMEL, R., SCHOENMAKER, W. and DE MEYER, K. (1994), "A NEW FINITE‐ELEMENT DISCRETIZATION TECHNIQUE FOR THE HYDRODYNAMIC FORMULATION OF ENERGY BALANCE EQUATIONS", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 13 No. 3, pp. 531-551. https://doi.org/10.1108/eb010133