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High-Order Multiscale Modelling Methods for Heterogeneous Materials

  • 1st Edition - December 1, 2026
  • Latest edition
  • Authors: Hong Zuo, Zhiqiang Yang, Shouchun Deng, Xiaofang Jiang
  • Language: English

Discover the latest advancements in multiscale modeling of heterogeneous materials. High-Order Multiscale Modelling Methods for Heterogeneous Materials addresses the challe… Read more

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Description

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.

Key features

  • 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

Readership

Research scientists in the field of mechanics, mathematics, computational methods, computational fluid dynamics, composite materials and structures, energy exploitation, astronautic science, etc.; Engineers in the field of unconventional gas exploitation, civil engineering, mechanical engineering, composite materials, transport in porous media, etc.; Postgraduate students and practitioners

Table of contents

1. Introduction: An overview of multiscale models

2. Gas transport in multiscale porous media

3. Convection–diffusion-reaction transport in multiscale porous media

4. Hydro-mechanical coupling in hierarchical porous media

5. Conductive radiative heat transfer in periodic porous material

6. Conduction-convection-radiation heat transfer in porous material

7. Thermo-mechanical performance of periodic porous materials

8. Transient heat conduction in statistically inhomogeneous materials

9. Mechanical properties in statistically inhomogeneous materials

10. Thermo-mechanical coupling in statistically inhomogeneous materials

11. The conclusions and future research

Product details

  • Edition: 1
  • Latest edition
  • Published: December 1, 2026
  • Language: English

About the authors

HZ

Hong Zuo

Hong Zuo (Ph.D.) graduated from the University of Chinese Academy of Sciences and the University of Texas at Austin in 2021, majoring in Engineering Mechanics. He is now an associate professor at China University of Mining and Technology. He has been focused on the multiscale computation for many years, including the simulation of gas transport in nano-/microporous media, upscaling models and frameworks, homogenization method, high-order asymptotic homogenization method, and other numerical methods including lattice Boltzmann method (LBM), Finite Element Method (FEM), Finite Volume Method (FVM), Discrete Element Method (DEM), etc. He has a solid background in computational mechanics and mathematics, and has published more than 30 influential academic SCI-indexed papers in the well-known journals such as the International Journal for Numerical Methods in Engineering、Fuel、Chemical Engineering Science、Physics of Fluids、The Journal of Chemical Physics、Journal of Natural Gas Science and Engineering、International Journal of Geomechanics, etc.
Affiliations and expertise
Associate Professor, China University of Mining and Technology, Xuzhou, Jiangsu Province, China

ZY

Zhiqiang Yang

Zhiqiang Yang received the B.S. and Ph.D. degrees from Northwestern Polytechnical University in 2008 and 2014, respectively. He worked with Prof. Jacob Fish at Columbia University as a visiting scholar from 2017 to 2018. He won the excellent sponsor of the Postdoctoral Science Foundation in 2016 and the excellent youth of Heilongjiang Province in 2021. Currently, he is an associate professor of the Department of Astronautic Science and Mechanics, School of Astronautics, Harbin Institute of Technology, China and has served as the editorial board member of Chinese Journal of Applied Mechanics and Journal of Naval Aviation University. His research interests include homogenization theory, reduced-order multiscale methods, multiscale modeling and computation for composite materials and structures. He has published more than 70 SCI-indexed journal papers.
Affiliations and expertise
Associate Professor, Department of Astronautic Science and Mechanics, School of Astronautics, Harbin Institute of Technology, Harbin, Heilongjiang Province, China

SD

Shouchun Deng

Shouchun Deng, a professor of Shaoxing University, was sponsored by the Hundred Talents Program of the Chinese Academy of Sciences (CAS). Prof. Deng is interested in the fields of computational mechanics, numerical modelling, geomechanics, energy exploitation, etc.

Affiliations and expertise
Professor, State Key Laboratory of Intelligent Deep Metal Mining and Equipment, Shaoxing University, Shaoxing, China

XJ

Xiaofang Jiang

Xiaofang Jiang graduated from the University of Chinese Academy of Sciences. She is a lecturer at Northeast Petroleum University. His research interests include the multiscale characterization of nano-/micro-porous media, CFD modelling, and energy exploitation.

Affiliations and expertise
Lecturer, National Key Laboratory of Continental Shale Oil, Northeast Petroleum University, Daqing, China