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	An Explicit Method Based on the Implicit Runge-Kutta Algorithm for Solving Wave Equations
	Yang, Dinghui ; Wang, Nian ; Chen, Shan ; Song, Guojie
	2010-10-12 ; 2010-10-12
关键词	FLUX-CORRECTED TRANSPORT ANISOTROPIC REFLECTIVITY TECHNIQUE FINITE-DIFFERENCE SCHEMES SPECTRAL ELEMENT METHOD SYNTHETIC SEISMOGRAMS NUMERICAL-SIMULATION SEISMIC RESPONSE DISCRETE METHOD EFFICIENT TOOL FOURIER METHOD Geochemistry & Geophysics
中文摘要	A new explicit differentiator series method based on the implicit Runge-Kutta method, called the IRK-DSM in brief, is developed for solving wave equations. To develop the new algorithm, we first transform the wave equation, usually described as a partial differential equation (PDE), into a system of first-order ordinary differential equations (ODEs) with respect to time t. Then we use a truncated differentiator series method of the implicit Runge-Kutta method to solve the semidiscrete ordinary differential equations, while the high-order spatial derivatives included in the ODEs are approximated by the local interpolation method. We analyze the theoretical properties of the IRK-DSM, including the stability criteria for solving the 1D and 2D acoustic-wave equations, numerical dispersion, discretizing error, and computational efficiency when using the IRK-DSM to model acoustic-wave fields. For comparison, we also present the stability criteria and numerical dispersion of the so-called Lax-Wendroff correction (LWC) methods with the fourth-order and eighth-order accuracies for the 1D case. Promising numerical results show that the IRK-DSM provides a useful tool for large-scale practical problems because it can effectively suppress numerical dispersions and source-noises caused by discretizing the acoustic- and elastic-wave equations when too-coarse grids are used or the models have a large velocity contrast between adjacent layers. Theoretical analysis and numerical modeling also demonstrate that the IRK-DSM, through combining both the implicit Runge-Kutta scheme with good stability condition and the approximate differentiator series method, is a robust wave-field modeling method.
语种	英语 ; 英语
出版者	SEISMOLOGICAL SOC AMER ; EL CERRITO ; PLAZA PROFESSIONAL BLDG, SUITE 201, EL CERRITO, CA 94530 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81242]
专题	清华大学
推荐引用方式 GB/T 7714	Yang, Dinghui,Wang, Nian,Chen, Shan,et al. An Explicit Method Based on the Implicit Runge-Kutta Algorithm for Solving Wave Equations[J],2010, 2010.
APA	Yang, Dinghui,Wang, Nian,Chen, Shan,&Song, Guojie.(2010).An Explicit Method Based on the Implicit Runge-Kutta Algorithm for Solving Wave Equations..
MLA	Yang, Dinghui,et al."An Explicit Method Based on the Implicit Runge-Kutta Algorithm for Solving Wave Equations".(2010).

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