TY - JOUR
T1 - Absorbing Interface Conditions for the Simulation of Wave Propagation on Non-Uniform Meshes
AU - Li , Changshi
AU - Liu , Yuhui
AU - Wang , Fengru
AU - Yang , Jerry Zhijian
AU - Yuan , Cheng
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 433
EP - 452
PY - 2023
DA - 2023/04
SN - 16
DO - http://doi.org/10.4208/nmtma.OA-2022-0105
UR - https://global-sci.org/intro/article_detail/nmtma/21584.html
KW - Local time step, non-uniform mesh, absorbing interface condition.
AB - <p style="text-align: justify;">We proposed absorbing interface conditions for the simulation of linear
wave propagation on non-uniform meshes. Based on the superposition principle of
second-order linear wave equations, we decompose the interface condition problem into two subproblems around the interface: for the first one the conventional
artificial absorbing boundary conditions is applied, while for the second one, the
local analytic solutions can be derived. The proposed interface conditions permit
a two-way transmission of low-frequency waves across mesh interfaces which can
be supported by both coarse and fine meshes, and perform a one-way absorption
of high-frequency waves which can only be supported by fine meshes when they
travel from fine mesh regions to coarse ones. Numerical examples are presented to
illustrate the efficiency of the proposed absorbing interface conditions.</p>