A numerical investigation of transient detonation in granulated material
type: Item
instance of: scholarly article
title: A numerical investigation of transient detonation in granulated material
zbMATH Open document ID: 0867.76057
DOI: 10.1007/BF02511375
published in: Shock Waves
publication date: 1997-08-04T00:00:00Z
review text: A two-phase model based upon principles of continuum mixture theory is numerically solved to predict the evolution of detonation in a granulated reactive material. Shock to detonation transition (SDT) is considered whereby combustion is initiated due to compression of the material by a moving piston. In particular, this study demonstrates the existence of a SDT event which gives rise to a steady two-phase Chapman-Jouguet detonation structure consisting of a single lead shock in the gas and an unshocked solid. The unsteady model equations, which constitute a non-strictly hyperbolic system, are numerically solved using modern high-resolution method based on Godunov's method and on an approximate solution for the two-phase Riemann problem.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 952347
zbMATH Keywords: shock to detonation transition
zbMATH Keywords: shock tube problem
zbMATH Keywords: inert compaction wave structure
zbMATH Keywords: continuum mixture theory
zbMATH Keywords: moving piston
zbMATH Keywords: Chapman-Jouguet denotation
zbMATH Keywords: non-strictly hyperbolic system
zbMATH Keywords: two-phase Riemann problem
author: K. A. Gonthier
author: J. M. Powers
MaRDI profile type: Publication
cites work: A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
cites work: Higher order Godunov methods for general systems of hyperbolic conservation laws
cites work: Q3735004
cites work: Mathematical analysis of a two-phase continuum mixture theory
cites work: Simplified Asymptotic Equations for the Transition to Detonation in Reactive Granular Materials
cites work: An approximate linearised Riemann solver for the Euler equations for real gases
cites work: Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
cites work: Riemann Solvers, the Entropy Condition, and Difference
cites work: Approximate Riemann solvers, parameter vectors, and difference schemes
cites work: Ignition and growth of a detonation by a high energy plasma
cites work: On the Construction and Comparison of Difference Schemes
cites work: A fast riemann solver with constant covolume applied to the random choice method
cites work: Q4151274
cites work: Q3996436
description: scientific article; zbMATH DE number 952347