Coupled level-set and immersed-boundary method for simulation of filling in a complex geometry based mold

Abstract

A coupled level-set and immersed-boundary-method (CLSIBM) is proposed for simulation of liquid and gas phase flow during filling of a complex geometry based mold using a modified cut-cell technique. The CLSIBM uses Cartesian computational domain, with two level-set functions: ${\varphi }_{f_1,f_2}$ for liquid-metal and gas interface and ϕ_f,s for liquid-metal/gas and solid (mold box) interface. The cut-cell based immersed boundary method enable us to handle any internal two-phase flow in complex geometry using a Cartesian grid. Numerical results are presented for filling in four different tanks/molds, demonstrating the robustness of the proposed method during mold filling in complex geometry mold box.

Acknowledgments

Highly appreciate the help received from Vinesh Gada, Tejas Patel, and Dhruv Patel—on mathematical formulation and implementations of the present method.

Additional information

Funding

This work was supported by the Department of Science and Technology India, under grant number DST/TSG/AMT/2015/332.