Synopsis
Master the math behind accurate simulations of shock waves and fluid flows.
This book introduces high-resolution numerical schemes for hyperbolic conservation laws. It focuses on how entropy conditions and careful discretization improve the reliability and clarity of computed solutions for complex flows.
The discussion blends theory with practical algorithms. It explains how to design finite-difference schemes that are both stable and high‑resolution, capable of capturing sharp features like shocks without sacrificing accuracy in smooth regions. Examples show how different schemes behave on classic problems, from scalar equations to the Euler equations of gas dynamics.
- Foundations of entropy conditions and their role in selecting physical solutions
- Construction of second‑order, total-variation‑nonincreasing schemes for sharp resolution
- Comparison of methods such as Roe, Lax–Wendroff, and Godunov-type schemes
- Guidance on convergence, stability, and practical CFL considerations
Ideal for readers of numerical analysis, applied physics, and engineering who want a rigorous, implementation‑oriented treatment.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for High Resolution Schemes for Hyperbolic Conservation...
Seller Image
High Resolution Schemes for Hyperbolic Conservation Laws (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Print on Demand. This book presents a new class of second-order accurate finite difference schemes for solving hyperbolic conservation laws. The author develops a methodology to convert low-order schemes to high-order schemes with desirable properties, such as high resolution and preservation of monotonicity. These new schemes are particularly effective in solving problems with discontinuities, making them useful for modeling phenomena such as shock waves and contact discontinuities. The author also provides a detailed discussion of the theoretical background of these schemes, including their convergence properties and consistency with entropy conditions. The significance of this book's insights lies in providing a powerful new tool for simulating complex fluid dynamics problems with high accuracy and efficiency. 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. Seller Inventory # 9781332136575_0
Buy New
US$ 17.88
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
High Resolution Schemes for Hyperbolic Conservation Laws Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332136575
Stock Image
High Resolution Schemes for Hyperbolic Conservation Laws Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332136575
Buy New
US$ 24.51
US$ 4.43 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 15 available