ON THE DEVELOPMENT OF LATTICE BOLTZMANN MODELING FOR LIQUID-SOLID PHASE TRANSITIONS IN FREE SURFACE FLOWS

Abstract

Motivated by the current lack of knowledge regarding phase transition in a free surface water flow, a novel and efficient numerical model for liquid-solid phase transition in a free surface flow has been developed for the Lattice Boltzmann Method (LBM). The proposed model consists of two physically sound modules for solving free surface flow and heat transport. The heat transport module features an immersed boundary method and a non-iterative enthalpy-based approach. Sub-cycling time integration, improving the numerical stability of the heat transport module, is introduced for the integration of modules. The performance and accuracy of the model are verified through a preliminary experiment involving a melting ice cube. The obtained results indicate that the phase transition of fluid in any flow regime can be easily handled by the model with reasonable accuracy.