B. WiwatanapatapheeY. H. WuJ. ArchapitakP. F. SiewB. UnyongMahidol UniversityCurtin University2018-07-242018-07-242004-04-01Journal of Computational and Applied Mathematics. Vol.166, No.1 (2004), 307-319037704272-s2.0-1542529851https://repository.li.mahidol.ac.th/handle/20.500.14594/21436A numerical algorithm, based on the Galerkin finite element method and the enthalpy formulation, is developed for solving the coupled turbulent fluid flow and heat transfer problem in a domain with a moving phase-change boundary. The governing equations consist of the continuity equation, the Navier-Stokes equations, the energy equation and the modified K-ε equations. The formulation of the method is cast into the framework of the Bubnov-Galerkin finite element method. A numerical study shows that the developed numerical algorithm is stable and capable of capturing the rapid change of temperature and velocity near the phase-change boundary. © 2003 Elsevier B.V. All rights reserved.Mahidol UniversityMathematicsArticleSCOPUS10.1016/j.cam.2003.09.020