A critical study of numerical methods for the solution of nonlinear hyperbolic equations for resonance systems
type: Item
instance of: scholarly article
title: A critical study of numerical methods for the solution of nonlinear hyperbolic equations for resonance systems
zbMATH Open document ID: 0589.76085
DOI: 10.1016/0021-9991(85)90153-6
author: Joseph D. Baum
author: Jay N. Levine
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
review text: This paper presents the results of an investigation to select a satisfactory finite difference integration scheme for solving the one- dimensional, Eulerian form of the equations describing the propagation of steep-fronted, shock-like waveforms in variable cross-sectional area ducts and two-phase solid rocket combustion chambers [the first author and \textit{F. E. C. Culick}, Air Force Rocket Propulsion Laboratory Report, AFRPL-TR-74-75 (1974)]. The suitability of candidate finite difference integration schemes for the intended purpose was tested by applying them to a similar but simpler problem: that of finite amplitude shock-like wave propagation in a closed-end tube. The equations describing the flow of gas in the tube are identical to those describing the flow in a uniform cross-sectional area rocket motor - after deleting terms contributed by the presence of particles in the flow and terms describing the addition of mass, momentum, and energy by the combustion processes.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3947876
zbMATH Keywords: finite difference integration scheme
zbMATH Keywords: steep-fronted, shock-like waveforms
zbMATH Keywords: variable cross-sectional area ducts
zbMATH Keywords: two-phase solid rocket combustion chambers
zbMATH Keywords: finite amplitude shock-like wave propagation
zbMATH Keywords: closed-end tube
zbMATH Keywords: flow of gas in the tube
zbMATH Keywords: uniform cross-sectional area rocket motor
zbMATH Keywords: combustion processes
MaRDI profile type: Publication
full work available at URL: 0021-9991(85)90153-6
OpenAlex ID: W2031551547
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description: scientific article; zbMATH DE number 3947876