AUTHOR=Yang Yu , Li Xiaojun , Rong Mianshui , Yang Zhibo TITLE=Strategy for eliminating high-frequency instability caused by multi-transmitting boundary in numerical simulation of seismic site effect JOURNAL=Frontiers in Earth Science VOLUME=10 YEAR=2022 URL=https://www.frontiersin.org/journals/earth-science/articles/10.3389/feart.2022.1056583 DOI=10.3389/feart.2022.1056583 ISSN=2296-6463 ABSTRACT=

A multi-transmitting boundary is a local artificial boundary widely used for numerically simulating seismic site effects. However, similar to other artificial boundaries, the multi-transmitting boundary has instability issue in numerical simulation. Based on the concept of multi-directional transmitting formula, a strategy for eliminating the high-frequency instability of the transmitting boundary is studied and a measure is proposed using a neighbour node of a boundary node to realize smoothing filtering. The proposed measure is verified through numerical analysis. The smoothing coefficient chosen for this measure provides a reference for deriving the coefficient of multidirectional transmitting formula in the time domain.