The book frames the central questions in combustion modeling: how to describe fluid motion, heat transfer, and chemical reactions with mathematical equations; how different numerical schemes handle shocks and sharp interfaces; and how boundary conditions influence accuracy. It combines theory on fluid dynamics with practical discussions of numerical methods, making the material accessible to readers who want both concepts and their application to real problems.

Foundations of fluid dynamics: conservation laws for mass, momentum, and energy, and how they are expressed as fluxes.
Numerical methods for fluids: across methods like Glimm, Lax-Wendroff, and spectral approaches, including issues like oscillations near discontinuities.
Boundary conditions and boundaries in simulations: how to implement them carefully to preserve accuracy and resolution.
Applications to reacting flows: how numerical choices impact flame speed, ignition, and the behavior of combustion systems.

Ideal for readers of engineering, combustion theory, and numerical analysis who want a clear, structured view of how theory meets computation in reacting flows.

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