Multiple steady states for characteristic initial value problems
type: Item
instance of: scholarly article
title: Multiple steady states for characteristic initial value problems
zbMATH Open document ID: 0617.76079
DOI: 10.1016/0168-9274(86)90028-0
author: D. Gottlieb
author: Manuel D. Salas
author: Saul S. Abarbanel
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/2060/19850006491
review text: If a steady, isentropic flow in a dual-throat nozzle with equal throat areas is choked it can be either completely subsonic or supersonic depending on the initial state of the flow and the path taken to reach the steady state. To give a mathematical explanation of the observed behavior the time dependent, isentropic, quasi one-dimensional equations of gas dynamics and other model equations are considered under the constraint of characteristic boundary conditions. Analysis of the time evolution shows how different initial data may lead to different steady states and how seemingly anomalous behavior of the solution may be resolved. Numerical experimentation using time consistent explicit algorithms verifies the conclusions of the analysis. The use of implicit schemes with very large time steps leads to erroneous results.
reviewed by: Walter Wuest
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4001756
zbMATH Keywords: steady, isentropic flow
zbMATH Keywords: dual-throat nozzle
zbMATH Keywords: time dependent, isentropic, quasi one-dimensional equations
zbMATH Keywords: gas dynamics
zbMATH Keywords: boundary conditions
zbMATH Keywords: time evolution
MaRDI profile type: Publication
OpenAlex ID: W1973924921
cites work: Multiple Steady States for 1-D Transonic Flow
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description: scientific article; zbMATH DE number 4001756