A numerical tour of wave propagation |

The sponge ABC was proposed by Cerjan et al. (1985). The principle is very simple: attenuating the refections exponentially in the extended artificial boundary (Figure 8) area by multiplying a factor less than 1. Commonly, we use the factor

(21) |

where is the thickness of the artificial boundary on each side of the model. Usually, we choose it to be . The sponge ABC can be easily applied to a wide range of wave propagation problems, including some governing wave equations for complicated medium.

extbndr
A schematic diagram of extended artificial boundary area.
is the original model zone, which is extended to be
with artificial boundary. In the extended bounary area, the attenuation coeffcient
; In the model zone
,
,
.
Figure 8. |
---|

A numerical tour of wave propagation |

2021-08-31