An entropy production method to investigate the accuracy and stability of numerical simulation of one-dimensional heat transfer

In this paper, an approach based on the entropy production theory is applied to investigate the accuracy and stability of numerical simulation of the heat transfer and fluid flow problems, constituting important parts of the simulation procedure. Using the formula of the entropy production of the fluid flow and heat transfer process, the accuracy and stability of numerical simulation are achieved by convergence of the entropy production profile. Various cases, as the one-dimensional steady heat conduction, steady convective heat transfer, and unsteady heat conduction, are evaluated by the current approach, and the approach is proved to be effective.