PHYSGEN: A Physics-Constrained Framework for Generative Thermal Structure Optimization

PHYSGEN is a physics-constrained framework for generative thermal structure optimization. The framework integrates generative modeling, physical constraint enforcement, and optimization-driven evaluation within a unified architecture. A mathematical formulation is presented to guide candidate solutions toward physically feasible regions of the design space while preserving optimization efficiency. The proposed methodology provides a foundation for future research in physics-guided generative design, scientific machine learning, topology optimization, inverse design, and engineering applications involving thermal systems and constrained optimization.