A Fourth-Order Runge-Kutta Method with Low Numerical Dispersion for Simulating 3D Wave Propagation

Yang, Dinghui; Ma, Xiaoqian; Shan, Chen; Wang, Meixia

doi:10.5772/20272

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2016

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“…The drawback is that the schemes need to satisfy the stability condition, which limits the length of the time step. For acoustic waves, Yang et al [34] show that a fourth-order Runge-Kutta method is more accurate for time discretization than the fourth-order Lax-Wendroff method.…”

Section: Introductionmentioning

confidence: 99%

On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems

Mönkölä

2016

Advances in Mathematical Physics

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This study concentrates on transient multiphysical wave problems for simulating seismic waves. The presented models cover the coupling between elastic wave equations in solid structures and acoustic wave equations in fluids. We focus especially on the accuracy and efficiency of the numerical solution based on higher-order discretizations. The spatial discretization is performed by the spectral element method. For time discretization we compare three different schemes. The efficiency of the higher-order time discretization schemes depends on several factors which we discuss by presenting numerical experiments with the fourth-order Runge-Kutta and the fourth-order Adams-Bashforth time-stepping. We generate a synthetic seismogram and demonstrate its function by a numerical simulation.

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Section: Introductionmentioning

confidence: 99%

On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems

Mönkölä

2016

Advances in Mathematical Physics

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A Fourth-Order Runge-Kutta Method with Low Numerical Dispersion for Simulating 3D Wave Propagation

Cited by 1 publication

References 35 publications

On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems

On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems

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