Introduction
Data science methodologies, including surrogate modeling, advanced interpolation techniques, and machine learning (ML), are increasingly transforming metal processing industries. Conventional offline approaches are progressively being complemented, and in some cases supplanted, by real-time predictive data models that leverage both precomputed datasets and live sensor streams. The integration of such models into digital advisory systems and digital twin frameworks enables high-resolution, near-real-time estimation of process states during both design and operational stages. Despite these advancements, several critical challenges, including model performance, generalizability across varying process conditions, and adaptability to dynamic environments, continue to limit the robustness of fast predictive models. This work provides a systematic overview of real-time data model generation, with particular emphasis on the roles of solvers and interpolation strategies. It further examines key challenges, bottlenecks, and limitations, and discusses potential pathways for enhancing model reliability and applicability in process control and optimization contexts.
Methods and Techniques
Recent efforts have focused on integrating data-driven methodologies with physics-informed simulation frameworks. Techniques such as reduced-order modeling, surrogate modeling, and advanced interpolation schemes have been employed to approximate high-fidelity solutions with substantially lower computational overhead. Despite these advances, the systematic development of efficient workflows for generating high-quality, scalable databases and leveraging them for real-time prediction remains an open research challenge.
Results and Remarks
The results demonstrate that data models, when rigorously developed and validated against high-fidelity numerical simulations and experimental measurements, can provide reliable and computationally efficient representations of complex metal processing systems. Their integration within digital twin and digital shadow frameworks significantly enhances the capability for real-time monitoring, predictive control, and process optimization, thereby supporting more energy-efficient and sustainable manufacturing practices.