A new central compact finite difference scheme with high spectral resolution for acoustic wave equation

DOI10.1016/j.jcp.2018.03.030zbMath1406.65066OpenAlexW2796045376WikidataQ130045197 ScholiaQ130045197MaRDI QIDQ1721848

Jingye Li, Xiaohong Chen, Benfeng Wang, Zhikai Wang, Yiran Xu

Publication date: 13 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.03.030

zbMATH Keywords

acoustic wave equationnumerical modelingcompact finite differencehigh spectral resolution

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Complexity and performance of numerical algorithms (65Y20)

Related Items (9)

A high accuracy local one-dimensional explicit compact scheme for the 2D acoustic wave equation ⋮ Modeling acoustic waves in locally enhanced meshes with a staggered-grid finite difference approach ⋮ High-order compact difference schemes based on the local one-dimensional method for high-dimensional nonlinear wave equations ⋮ An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound ⋮ Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals ⋮ A high accuracy method for long-time evolution of acoustic wave equation ⋮ Numerical investigation of double-diffusive convection in rectangular cavities with different aspect ratio. I: High-accuracy numerical method ⋮ A new very high-order upwind directional multi-layer compact (DMLC) scheme for multi-dimensional flows ⋮ A central compact hybrid-variable method with spectral-like resolution: one-dimensional case

Cites Work

• Optimized explicit finite-difference schemes for spatial derivatives using maximum norm
• A new class of central compact schemes with spectral-like resolution. I: Linear schemes
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• A new class of central compact schemes with spectral-like resolution. II: Hybrid weighted nonlinear schemes
• Finite difference time domain dispersion reduction schemes
• Development of nonlinear weighted compact schemes with increasingly higher order accuracy
• A new time-space domain high-order finite-difference method for the acoustic wave equation
• Compact finite difference schemes with spectral-like resolution
• Optimized prefactored compact schemes.
• A robust high-order compact method for large eddy simulation.
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• A new compact spectral scheme for turbulence simulations
• Third-order symplectic integration method with inverse time dispersion transform for long-term simulation
• Difference schemes with best possible truncation error
• Optimized compact finite difference schemes with maximum resolution
• The Finite-Difference Modelling of Earthquake Motions
• A Comprehensive New Methodology for Formulating FDTD Schemes With Controlled Order of Accuracy and Dispersion
• Convective Difference Schemes

This page was built for publication: A new central compact finite difference scheme with high spectral resolution for acoustic wave equation