The Application of an Explicit Numerical Method to a Reaction-Diffusion System in Combustion (Classic Reprint) - Hardcover

Rolf D. Reitz

Hardcover

ISBN 10: 0656022078 ISBN 13: 9780656022076

Publisher: Forgotten Books, 2018

Synopsis

Explore how explicit numerical methods can model flame propagation with high efficiency.

This clear, step‑by‑step study applies an explicit approach to one‑dimensional reaction–diffusion equations in combustion, focusing on a Fisher equation as a model and then extending to a real ozone decomposition flame problem. The work compares multiple schemes and shows when explicit methods can be competitive with traditional implicit techniques.

Readers will see how the method handles reaction rates, diffusion, and stability, along with practical guidance on choosing schemes for accuracy and performance. The discussion also covers how mesh size, time steps, and model simplifications affect results, giving a practical view of numerical flame simulations.

• How explicit schemes perform for reaction–diffusion problems in combustion
• Trade‑offs between numerical diffusion, dispersion errors, and stability
• Guidance on selecting schemes for models with many chemical species
• Comparisons between explicit and implicit approaches in realistic flame problems

Ideal for readers of computational fluid dynamics and combustion modeling who want a practical, evidence‑based look at explicit methods in flame simulations.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0656022078
• ISBN 13: 9780656022076
• Binding: Hardcover
• Number of pages: 65