Information preservation method for micro-scale flow with temperature variation

Based on the information preservation(IP) method, a simple effective temperature model is presented. The IP method with new temperature model can simulate the flow which has temperature variation. Moreover, studies show that when the local density gradient of the simulated flow is large, it will cause numerical divergence if the second order central difference scheme of the mass conservation equation is used to update the information density. So the first order upwind scheme is recommended to update the information density for the flow with large density gradient.