TY - JOUR
T1 - Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes
AU - Liu , Pei
AU - Zhijian Yang , Jerry
AU - Yuan , Cheng
JO - Communications in Computational Physics
VL - 2
SP - 691
EP - 722
PY - 2020
DA - 2020/06
SN - 28
DO - http://doi.org/10.4208/cicp.OA-2019-0167
UR - https://global-sci.org/intro/article_detail/cicp/16950.html
KW - Asynchronous variational integrators, nonuniform mesh, local time stepping, spurious reflections.
AB - <p style="text-align: justify;">This paper is concerned with the classical problem of wave propagation in
discrete models of nonuniform resolution. We extend the traditional asynchronous
variational integrators (AVIs) method to higher order and couple different spatial elements to adapt to nonuniform meshes. We show that the extension of AVIs method
is stable, convergent and may reduce the spurious inter-grid reflection across meshes
with different sizes. Numerical experiments are provided to verify the stability and
convergence of the extended AVIs. The total energy is numerically conserved in our
experiments.</p>