Multiple steady states for characteristic initial value problems

M. D. Salas; S. Abarbanel; D. Gottlieb

doi:10.1016/0168-9274(86)90028-0

Multiple steady states for characteristic initial value problems

M. D. Salas, S. Abarbanel, D. Gottlieb

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	193-210
Number of pages	18
Journal	Applied Numerical Mathematics
Volume	2
Issue number	3-5
DOIs	https://doi.org/10.1016/0168-9274(86)90028-0
State	Published - Oct 1986
Externally published	Yes

Bibliographical note

Funding Information:
* Research was supported in part by the National Aeronautics and Space Administration under NASA Contract Nos. NASI-17070 and NASI-18107 while the second and third authors were in residence at ICASE, NASA Langley Research Center, Hampton, VA 23665-5225. The third author was also supported by AFOSR GRANT 850303.

Funding

* Research was supported in part by the National Aeronautics and Space Administration under NASA Contract Nos. NASI-17070 and NASI-18107 while the second and third authors were in residence at ICASE, NASA Langley Research Center, Hampton, VA 23665-5225. The third author was also supported by AFOSR GRANT 850303.

Funders	Funder number
National Aeronautics and Space Administration
Air Force Office of Scientific Research	850303

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Multiple steady states for characteristic initial value problems

Abstract

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