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High Energy Density Radiative Transfer. Theory and Computation

  • Book

  • October 2026
  • Elsevier Science and Technology
  • ID: 6251384
High Energy Density Radiative Transfer: Theory and Computations is a comprehensive guide that delves into the intricate world of radiative transfer phenomena in the high energy density (HED) regime. This book presents a wealth of scientific contributions and essential insights for researchers, students and engineers seeking to understand the dominant physical processes in inertial fusion energy scenarios. From exploring simple approximate models to conducting detailed calculations on cutting-edge supercomputers, readers will gain valuable tools to navigate the complexities of radiative transfer in HED applications. The book's extensive content covers a wide range of topics essential for mastering radiative transfer in HED contexts. Starting with an exploration of the High Energy Density regime and transport of thermal x-rays, readers are guided through key concepts such as absorption and emission of radiation, infinite medium solutions, frequency discretizations, equilibrium and non-equilibrium diffusion models, spherical harmonics and discrete ordinates methods, finite element discretizations, preconditioning and convergence acceleration, implicit Monte Carlo Methods, photon Monte Carlo methods, and Compton scattering. Each chapter provides in-depth insights and practical knowledge necessary for tackling HED radiative transfer challenges effectively. High Energy Density Radiative Transfer: Theory and Computations is an indispensable resource for those involved in inertial fusion energy and related fields. Whether you are a university student, physicist, engineer, or researcher, this book equips you with the tools to simulate and analyze radiative transfer phenomena in HED scenarios. By offering methods to solve common problems, detailed examples with numerical results, and insights into potential pitfalls, this book empowers readers to enhance their understanding and proficiency in addressing HED radiative transfer challenges with confidence.

Table of Contents

1. The High Energy Density Regime
2. The Transport of Thermal X-Rays
3. The Absorption and Emission of Radiation
4. Infinite Medium Solutions
5. Frequency Discretizations
6. Equilibrium Diffusion Models
7. Common Problems in HED Radiative Transfer
8. Time Discretization
9. Non-equilibrium Diffusion Models
10. Spherical Harmonics (Pn) Methods
11. Discrete Ordinates (Sn) Methods
12. Finite Element Discretizations
13. Preconditioning and Convergence Acceleration
14. Implicit Monte Carlo (IMC) and Related Methods
15. Photon Monte Carlo methods
16. Compton Scattering

Authors

Ryan McClarren Associate Professor, Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN, USA. Ryan McClarren is Associate Professor in the Department of Aerospace and Mechanical Engineering at the University of Notre Dame. He has spent his professional career educating students in the mathematics and computation required for modern engineering. His research centers around the study of uncertainties in large-scale simulation, and numerical methods for radiation transport problems. Additionally, he is the author of 44 publications in refereed journals and has been the editor of a special issue of the journal Transport Theory and Statistical Physics. He is well known in the computational nuclear engineering community and has research awards and grants from the NSF, DOE, and three national labs.