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

DOI10.1016/0045-7825(83)90002-6zbMath0521.73072OpenAlexW1990952156MaRDI QIDQ1055245

H. Neishlos, Y. Kivity, Moshe Israeli

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90002-6

zbMATH Keywords

partial differential equationsinitial boundary value problemsufficient conditionapproximation of hydrodynamic pressure on surface of shellbest possible stability propertiescontact condition on interface between fluid and shelldiscretized in time and spaceexplicit difference schemesinteraction between compressible fluid and elastic shellKreiss theorystability properties influenced by type of discretization in space

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical and other methods in solid mechanics (74S99)

Cites Work

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• Staggered transient analysis procedures for coupled mechanical systems: Formulation
• Mixed methods for time integration
• Stability of some explicit difference schemes for fluid-structure interaction problems
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory
• Fluid-structure interaction