A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer

Abstract

The development of an efficient computational methodology for transient heat and mass transfer applications is challenging. When a solution is localized on the fraction of a com- putational domain, an appropriate adaptive mesh method could minimize computational work. In this article, we propose a novel adaptive-mesh multiresolution algorithm for the transient momentum and energy equations. The nonlinear dynamics between the velocity and temperature fields are modeled by solving the coupled system of equations simul- taneously, where the rate of convergence has been optimized so that computational cost remains proportional to the number of grid points. Numerical experiments have exhibited good agreements with benchmark simulation data.