期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 232, 期 1, 页码 327-345出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.08.025
关键词
Time-space domain; Finite-difference; Dispersion relation; Plane wave theory; 2nd-order spatial derivatives; Arbitrary-order accuracy; Acoustic wave equation; Dispersion analysis; Stability condition; Numerical modeling
资金
- National Nature Science Foundation of China (NSFC) [41074100]
- Program for New Century Excellent Talents in University of Ministry of Education of China [NCET-10-0812]
High-order finite-difference (FD) methods have been widely used for numerical solution of acoustic wave equations. It has been reported that the modeling accuracy is of 2nd-order when the conventional (2M)th-order space domain FD and the 2nd-order time domain FD stencils are directly used to solve the acoustic wave equation. Under the same discretization, the present version of time-space domain dispersion-relation-based FD method can improve the accuracy from 2nd-order to (2M) th-order along eight directions for the 2D acoustic wave equation. To increase the accuracy further, we propose a new FD stencil for 2D acoustic wave equation modeling. This new time-space domain dispersion-relation-based FD stencil can reach the same arbitrary even-order accuracy along all directions, and is more accurate and more stable than the conventional one for the same M. Dispersion analysis and modeling examples demonstrate its advantages. (C) 2012 Elsevier Inc. All rights reserved.
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