Discover the latest advancements in multiscale modeling of heterogeneous materials. High-Order Multiscale Modelling Methods for Heterogeneous Materials addresses the challenges of predicting complex physical phenomena across nanoscale to macroscale, where traditional methods fall short due to strong heterogeneity and oscillations. It introduces high-order multiscale models that enable bidirectional data transfer between scales, combining micro-, meso-, and macro-level simulations for real-time, accurate predictions of coupled flow, pressure, displacement, and thermal fields. Structured into eleven chapters, the book provides a practical reference for researchers, engineers, and students working in multiscale computing and material science.

• Offers systematic upscaling frameworks and both low- and high-order multiscale models designed to accurately predict complex multi-physics phenomena in heterogeneous materials, addressing computational efficiency and cost issues
• Provides readers with effective cross-scale numerical solvers that facilitate the analysis of coupled physical processes across multiple scales, reducing the computational burden associated with traditional single-scale methods
• Emphasises multiscale computing and upscaling methods, equipping readers with the latest tools and strategies for tackling the challenges of simulating heterogeneous, multiscale materials in science and engineering