Numerical computation of two-dimensional unsteady detonation waves in high energy solids
type: Item
instance of: scholarly article
title: Numerical computation of two-dimensional unsteady detonation waves in high energy solids
zbMATH Open document ID: 0770.76040
DOI: 10.1016/S0021-9991(83)71104-6
author: J. F. Clarke
author: L. G. Simmonds
author: S. Karni
author: James J. Quirk
author: Philip L. Roe
author: Eleuterio F. Toro
published in: Journal of Computational Physics
publication date: 1993-08-08T00:00:00Z
review text: We are concerned with theoretical modelling of unsteady, two-dimensional detonation waves in high energy solids. A mathematical model and a numerical method to solve the associated hyperbolic system of equations are presented. The model consists of the Euler equations augmented by extra conservation laws and source terms to account for chemical reaction and tracking of materials. Both the thermodynamics and the chemistry are treated in a simple way. The numerical method selected for the full model is an extension of the conservative, shock capturing technique of Roe, together with an adaptive mesh refinement procedure that allows the resolution of fine features such as reaction zones.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 203228
zbMATH Keywords: hyperbolic system
zbMATH Keywords: Euler equations
zbMATH Keywords: conservation laws
zbMATH Keywords: source terms
zbMATH Keywords: chemical reaction
zbMATH Keywords: conservative, shock capturing technique of Roe
zbMATH Keywords: adaptive mesh refinement
MaRDI profile type: Publication
cites work: Q5200608
cites work: Steady-state two-dimensional detonation
cites work: Random choice solution of hyperbolic systems
cites work: Glimm’s Method for Gas Dynamics
cites work: On Godunov-type methods near low densities
cites work: High resolution schemes for hyperbolic conservation laws
cites work: Viscous Shock Profiles and Primitive Formulations
cites work: A study of numerical methods for hyperbolic conservation laws with stiff source terms
cites work: Moving Finite Elements. II
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Approximate Riemann solvers, parameter vectors, and difference schemes
cites work: Q3026626
cites work: Two-phase flow: Models and methods
cites work: High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
full work available at URL: s0021-9991(83)71104-6
OpenAlex ID: W2086008522
description: scientific article; zbMATH DE number 203228