SBP-SAT方法及其在波动领域的应用

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Abstract Summation by parts with simultaneous approximation terms have a set of properties that leading to provable time stability and higher order spatial discretization of partial differential equations. The finite difference methods based on this theory can establish the scheme that have incomparable advantages for simulating geometric discontinuity or complex media. At present, there are few researches on SBP-SAT methods in China. Therefore, this paper provides the history of SBP-SAT methods and its application to the numerical solution of partial differential equations. Then, the discrete equations of elastic wave under the curvilinear coordinates are derived. At last, combining initial value conditions and boundary conditions, a simple simulation for imitating seismic wave propagation is functioning. The potential and the application value are present.

Key words： summation by parts operators finite difference methods boundary conditions simultaneous approximation terms higher order methods energy method stability

Received: 25 February 2019 Published: 15 June 2020

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	Articles by authors
	YANG Zailin1
	2
	SUN Cheng1
	JIANG Guanxixi1
	YANG Yong1
	2

Cite this article:

YANG Zailin1,2,SUN Cheng1, et al. A SBP-SAT method for the numerical solution and its application in the wave motion[J]. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(12): 150-157.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2020/V39/I12/150

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