The stability of explicit difference schemes for solving the problem of interaction between a compressible fluid and an elastic shell

H. Neishlos, M. Israeli, Y. Kivity

Research output: Contribution to journalArticlepeer-review

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Abstract

A mathematical model for describing the interaction between a compressible fluid and an elastic shell is formulated as an initial boundary value problem. The partial differential equations of the model are discretized both in time and space by a finite-difference method. The stability of the resulting explicit difference schemes is analyzed by Kreiss' theory for the stability analysis of difference schemes in initial boundary value problems. It is shown that the stability properties of the schemes for the interaction problem may be influenced by the type of discretization in space used for the contact condition on the interface between the fluid and the shell and also by the approximation of the hydrodynamic pressure on the surface of the shell. A simple sufficient condition is found that will ensure the best possible stability properties of the schemes. Several of these, which are of practical interest, are analyzed.

Original languageEnglish
Pages (from-to)129-143
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume41
Issue number2
DOIs
StatePublished - Dec 1983
Externally publishedYes

Bibliographical note

Funding Information:
Parts of this work were carried out by the authors at the Technion, Israel Institute of Technology, Haifa, and others by the first author at the National Research Institute for MathematicalS ciencesa nd at the National Institute for Aeronautics and SystemsT echnology at the Council for Scientific and Industrial Research,P retoria.

Funding

Parts of this work were carried out by the authors at the Technion, Israel Institute of Technology, Haifa, and others by the first author at the National Research Institute for MathematicalS ciencesa nd at the National Institute for Aeronautics and SystemsT echnology at the Council for Scientific and Industrial Research,P retoria.

FundersFunder number
Israel Institute of Technology, Haifa
National Institute for Aeronautics and SystemsT echnology
National Research Institute for MathematicalS ciencesa
Technion-Israel Institute of Technology

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