Year: 2020
Author: Pei Liu, Jerry Zhijian Yang, Cheng Yuan
Communications in Computational Physics, Vol. 28 (2020), Iss. 2 : pp. 691–722
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0167
Communications in Computational Physics, Vol. 28 (2020), Iss. 2 : pp. 691–722
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: Asynchronous variational integrators nonuniform mesh local time stepping spurious reflections.