Dispersion and cost analysis of some finite difference schemes in one-parameter acoustic wave modeling |
| |
| Authors: | Laurent Anné Quang Huy Tran William W Symes |
| |
| Institution: | 1. Institut Fran?ais du Pétrole, DIMA-DER, B.P. 311, F-92506, Rueil-Malmaison, France
2. Department of Computational and Applied Mathematics, Rice University, P.O. Box 1892, Houston, TX, 77251, USA
|
| |
| Abstract: | Given a precision threshold to be imposed on the group velocity error and a finite difference scheme for the acoustic wave equation, it is possible to determine time-step and grid-spacing in an optimal manner, i.e., so as to minimize the computational cost. Using this optimal cost as a criterion, it becomes easy to compare schemes for efficiency in homogeneous media. Heterogeneous media with constant density can be accommodated to a certain extent by minimizing the cost over a range of Courant numbers. Such analysis shows that, amongst the second-order Taylor series schemes in time, higher-order schemes are generally more efficient than lower-order schemes. However, this result does not extend to very high order schemes. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
