A new adaptive algorithm for phase change heat transfer problems based on quadtree SBFEM and smoothed effective heat capacity method

Abstract

A new adaptive algorithm is presented for solving the phase change heat transfer problems by integrating the advantages of quadtree SBFEM and smoothed effective heat capacity method. A new criterion of the refinement is addressed via an interval intersection, and a new nonerror estimation based criteria is presented to terminate the refinement. Only a local mesh refinement is required around the interface region, and the computational expense can be effectively reduced in comparison with uniform refinement in the whole domain. Numerical examples demonstrate the effectiveness of the proposed approach, and the potential for solving applied problems by simulating a finned enhanced latent heat storage system.

Additional information

Funding

The research leading to this article is funded by National Natural Science Foundation of China [11572077], Natural Science Funding of Liaoning Province [2015020141] the Chinese Fundamental Research Funds for the Central Universities [DUT17LK11] and National Key Basic Research Program of China [2015CB057804].