This simulation visualizes the solidification process through a phase-field approach, solving the equations on an adaptive mesh to capture dynamic changes with precision. The model solves two coupled partial differential equations:

• Order Parameter: Tracks phase transformation between solid and liquid phases.
• Concentration Field: Governs solute distribution within the material.

The adaptive mesh efficiently focuses computational resources on areas with significant changes, enhancing both accuracy and efficiency in simulating the complex interactions during solidification.