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 computational 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 simultaneously, 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.

Acknowledgments

JMA and NKRK would like to acknowledge support from NSERC. Partial support for OVV was provided by the National Science Foundation (NSF) under Grants ACI-0242457 and CBET-0756046 and the U.S. Department of Energy under Grant DE-FG02-07ER64468. Computational facilities were provided by ACEnet, the regional high-performance computing consortium for universities in Atlantic Canada.

Notes

^a The algorithm takes about the same number of iterations to reduce the residual norm by the same factor, which is independent of the resolution.