Density-Based Topology Optimization for Thermal-Fluid Systems: Theory, Methods, and Applications for Thermal Management

This comprehensive guide for researchers and advanced graduate students presents density-based topology optimization methods for thermal-fluid systems, covering fundamental theory, numerical implementation, methodological improvements, practical applications and additive manufacturing. The book systematically develops the mathematical foundations of topology optimization, including filtering, projection, interpolation, governing equations, adjoint sensitivity analysis, and optimization algorithms.These concepts are illustrated through a wide range of case studies spanning thermal conduction, fluid flow, and coupled thermal-fluid problems under forced and natural convection in both 2D and 3D configurations.Beyond classical formulations, the book places strong emphasis on method development and engineering applicability.Advanced strategies such as pseudo-3D modelling and reduced-order initialization methods are introduced to address the high computational cost of large-scale optimization