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.
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High Resolution Schemes for Hyperbolic Conservation Laws (Classic Reprint)
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High Resolution Schemes for Hyperbolic Conservation Laws (Classic Reprint)
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HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780267676965
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