Finite difference method for a combustion model

DOI10.1090/S0025-5718-03-01601-6zbMath1045.65077OpenAlexW2008221614MaRDI QIDQ4452151

Lung-An Ying

Publication date: 12 February 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01601-6

zbMATH Keywords

convergenceupwind finite difference schemestiff systemcombustion modelChapman-Jouguet modelchemical reaction processesCourant-Friedrich-Lewy conditiondetonation wave solutions

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Combustion (80A25) Chemically reacting flows (80A32) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (1)

Finite difference method for detonation waves

Cites Work

• Convergence of approximate solutions to conservation laws
• The random projection method for hyperbolic conservation laws with stiff reaction terms
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Theoretical and Numerical Structure for Reacting Shock Waves
• Monotone Difference Approximations for Scalar Conservation Laws
• A Qualitative Model for Dynamic Combustion
• Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term
• Detonation capturing for stiff combustion chemistry
• Numerical Methods for Hyperbolic Conservation Laws With Stiff Relaxation I. Spurious Solutions
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