A novel unsplit perfectly matched layer for the second-order acoustic wave equation

作者：Ma Youneng; Yu Jinhua^*; Wang Yuanyuan

来源：Ultrasonics, 2014, 54(6): 1568-1574.

DOI：10.1016/j.ultras.2014.03.016

• Auxiliary-differential equation
• Acoustic
• Perfectly matched layer
• Second-order equation

When solving acoustic field equations by using numerical approximation technique, absorbing boundary conditions (ABCs) are widely used to truncate the simulation to a finite space. The perfectly matched layer (PML) technique has exhibited excellent absorbing efficiency as an ABC for the acoustic wave equation formulated as a first-order system. However, as the PML was originally designed for the first-order equation system, it cannot be applied to the second-order equation system directly. In this article, we aim to extend the unsplit PML to the second-order equation system. We developed an efficient unsplit implementation of PML for the second-order acoustic wave equation based on an auxiliary-differential-equation (ADE) scheme. The proposed method can benefit to the use of PML in simulations based on second-order equations. Compared with the existing PMLs, it has simpler implementation and requires less extra storage. Numerical results from finite-difference time-domain models are provided to illustrate the validity of the approach.

• 出版日期2014-8
• 单位复旦大学