FINITE ELEMENT METHODS FOR NONLINEAR ACOUSTICS IN FLUIDS

DOI10.1142/S0218396X0700338XzbMath1203.76089MaRDI QIDQ3069240

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Publication date: 24 January 2011

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

zbMATH Keywords

finite elementsnonlinear acousticsNewton methodresonancesKuznetsov equation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shock waves and blast waves in fluid mechanics (76L05) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics ⋮ Finite element analysis of flexible structure and cavitating nonlinear acoustic fluid interaction under shock wave loading ⋮ Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation ⋮ An arbitrary Lagrangian-Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: an implicit method ⋮ Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation ⋮ Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics ⋮ A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation ⋮ The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations

Cites Work

• Unnamed Item
• Theory of nonlinear acoustics in fluids.
• Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Vibration analysis of fluid-solid systems using a finite element displacement formulation
• Finite elements for the dynamic analysis of fluid-solid systems
• Finite element simulation of non-linear sound wave propagation
• Connection between the Fay and Fubini Solutions for Plane Sound Waves of Finite Amplitude
• The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids.

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