Approximate Riemann solvers and waves on a nonlinear elastic string

DOI10.1016/0898-1221(91)90248-3zbMath0715.73080OpenAlexW2071727086MaRDI QIDQ751908

Kenzu Abdella, Robert Tait, David B. Duncan

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(91)90248-3

zbMATH Keywords

shocksstretched nonlinear elastic string

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Vibrations in dynamical problems in solid mechanics (74H45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20)

Uses Software

• HLLE

Cites Work

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• The Riemann problem for the planar motion of an elastic string
• Unloading Waves in a Plucked Hyperelastic String
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Simplified Godunov Schemes for $2 \times 2$ Systems of Conservation Laws
• Numerical Methods in Fluid Dynamics

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