Synopsis
The book presents a practical, computation‑oriented path to solving the Boltzmann equation. This work equips readers with numerical methods used to model shock waves and other kinetic features, translating complex theory into actionable algorithms.
Grounded in a structured approach, the text shows how to represent the distribution function with moment expansions, and how to evaluate the collision term using Gaussian quadrature and Monte‑Carlo techniques. It discusses how to set up simulations, monitor conservation laws, and interpret results for different Mach numbers and flow conditions. The material is framed to illustrate both the method’s capabilities and its limitations, with comparisons to other theories and numerical approaches.
- Representation of the kinetic function via Hermite-based expansions and how many moments to keep for accuracy.
- Practical use of Gauss–Hermite quadrature and Monte‑Carlo methods to compute collision terms.
- How shocks behave under varying Mach numbers and how to assess shock thickness and oscillations.
- Techniques to verify conservation laws and track numerical errors during simulations.
Ideal for readers of computational physics, kinetic theory, and numerical analysis looking for a concrete, paper‑based guide to implementing the Boltzmann solver.
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Numerical Solution of the Boltzmann Equation (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book delves into a highly specialized numerical approach to the Boltzmann equationâ"a complex equation that describes the behavior of gas particles in a particular environment. Developed in the context of gas dynamics, it is a highly mathematical text that applies a specific iterative method to solve the Boltzmann equation, known as the full non-linear Boltzmann equation. This numerical method is applied to the study of a shock wave in a gas composed of elastic spheres. The method used is rooted in Gaussian quadrature and Hermite interpolation, which are extensively discussed. The author presents the method as a step-by-step computational procedure. After introducing the fundamental problem, the author discusses the details of the numerical approach using concrete examples, before generalizing the method to problems in multiple dimensions with other types of interparticle forces. The work provides a solid entry point for researchers interested in Boltzmann's equation, with important implications in fluid mechanics, plasma physics, chemical kinetics, astrophysics, and other disciplines concerned with the behavior of gases. Overall, this book offers valuable insights and techniques for understanding the Boltzmann equation and its applications, making it a significant addition to the body of knowledge for researchers in the field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330168455_0
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Numerical Solution of the Boltzmann Equation Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330168455
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Numerical Solution of the Boltzmann Equation Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330168455
Acheter neuf
EUR 24,81
Expédition à EUR 3,87
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
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