An efficient complex-frequency shifted-perfectly matched layer for second-order acoustic wave equation
Article first published online: 4 NOV 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 97, Issue 2, pages 130–148, 13 January 2014
How to Cite
Ma, Y., Yu, J. and Wang, Y. (2014), An efficient complex-frequency shifted-perfectly matched layer for second-order acoustic wave equation. Int. J. Numer. Meth. Engng., 97: 130–148. doi: 10.1002/nme.4594
- Issue published online: 10 DEC 2013
- Article first published online: 4 NOV 2013
- Manuscript Accepted: 8 OCT 2013
- Manuscript Revised: 16 JUL 2013
- Manuscript Received: 9 NOV 2012
- absorbing boundary conditions;
- perfectly matched layer;
- second-order equation
In the context of simulations of wave propagations in unbounded domain, absorbing boundary conditions are often used to truncate the simulation domain to a finite space. Perfectly matched layer (PML) has proven to be an excellent absorbing boundary conditions. However, as this technique was primarily designed for the first-order equation system, it cannot be applied to the second-order equation system directly. In this paper, based on a complex-coordinate stretching technique, we developed a novel, efficient auxiliary-differential equation form of the complex-frequency shifted-PML for the second-order equation system. This facilitates the use of complex-frequency shifted-PML in acoustic simulations based upon wave equations of second-order form. Compared with previous state-of-the-art methods, the proposed one has the advantage of simpler implementation. It is an unsplit-field scheme that can be extended to higher-order discretization schemes conveniently. Numerical results from both homogeneous and heterogeneous computational domains are provided to illustrate the validity of the method. Copyright © 2013 John Wiley & Sons, Ltd.