Numerical modelling of steady detonations with a variational streamline approach

DOI10.1007/S10665-021-10149-9zbMath1497.76120OpenAlexW3186647822WikidataQ114226582 ScholiaQ114226582MaRDI QIDQ2061418

Malcolm Cartwright, Sam A. E. G. Falle

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1007/s10665-021-10149-9

zbMATH Keywords

shock wavecompressible Euler equationsstreamline curvaturediameter effectHLLC approximate Riemann solverpower-law reactionsecond-order conservative upwind scheme

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Reaction effects in flows (76V05)

Cites Work

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• A streamline approach to two-dimensional steady non-ideal detonation: the straight streamline approximation
• Restoration of the contact surface in the HLL-Riemann solver
• Numerical modelling of steady detonations with the CREST reactive burn model
• Steady-state two-dimensional detonation
• One-dimensional nonlinear stability of pathological detonations
• On the dynamics of multi-dimensional detonation
• An exact solution for axial flow in cylindrically symmetric, steady-state detonation in polytropic explosive with an arbitrary rate of decomposition
• A study of detonation diffraction in the ignition-and-growth model

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