Our primary objective is to establish a comprehensive theoretical framework that elucidates the dynamics of solidification and crystal growth from molten state. In addition, we are committed to developing innovative methods for controlling microstructure evolution in metallic and semiconductor materials . This initiative is driven by our desire to address critical engineering challenges related to solidification and casting defects. Our goal is to develop methodologies that not only elucidate the mechanisms behind these processes but also enable their effective control, thereby contributing to the suppression of defects in actual industrial settings.