Fourth order schemes for the heterogeneous acoustics equation

DOI10.1016/0045-7825(90)90044-MzbMath0733.76053OpenAlexW2081474085MaRDI QIDQ809756

Patrick Joly, Gary Cohen

Publication date: 1990

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(90)90044-m

zbMATH Keywords

reflectiondiscontinuous coefficientsheterogeneous medianumerical schemeshomogeneous media1-D casefourth order in time and space variablestransmission phenomena

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hydro- and aero-acoustics (76Q05)

Related Items (11)

Error analysis of numerical schemes for the wave equation in heterogeneous media ⋮ On the accuracy and efficiency of transient spectral element models for seismic wave problems ⋮ A note on high order schemes for the one dimensional wave equation ⋮ Dispersion analysis of numerical wave propagation and its computational consequences ⋮ On the construction of arbitrary order schemes for the many dimensional wave equation ⋮ High-order schemes for acoustic waveform simulation ⋮ Coupled numerical methods to analyze interacting acoustic-dynamic models by multidomain decomposition techniques ⋮ Finite-difference time-domain simulation of acoustic propagation in dispersive medium: an application to bubble clouds in the ocean ⋮ A FEM-BEM coupling procedure to model the propagation of interacting acoustic-acoustic/acoustic-elastic waves through axisymmetric media ⋮ A computational method to estimate the unknown coefficient in a wave equation using boundary measurements ⋮ Time domain modeling of pulse propagation in non-isotropic dispersive media

Cites Work

• Approximation by finite differences of the propagation of acoustic waves in stratified media
• A Modified Equation Approach to Constructing Fourth Order Methods for Acoustic Wave Propagation
• Numerical Diffraction by a Uniform Grid
• Group Velocity in Finite Difference Schemes
• Unnamed Item

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