@Article{AAMM-17-599,
author = {Zeng , ZhiqiangYuan , WeixiongFeng , ChengliangLiu , Tiegang and Zhang , Shengtao},
title = {A Genuinely 2D Well-Balanced Method for Elastic-Plastic Flow in Cylindrically Symmetric Coordinates},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {17},
number = {2},
pages = {599--632},
abstract = {<p style="text-align: justify;">In this work, a genuinely two-dimensional method is proposed for elastic-plastic flow in cylindrically symmetric coordinates. The numerical fluxes are obtained
by constructing a genuinely two-dimensional approximate Riemann solver that incorporates consideration of the geometric source term and elastic-plastic transition. The
resultant genuine 2D numerical flux combines one-dimensional numerical flux in the
central region of the cell edge and two-dimensional flux in the cell vertex region to
take wave interaction into account. To deal with the geometry singularity, we establish the equations with removed singularity. For a given stationary state, we prove
that the present method is well-balanced. Several numerical tests are presented to verify the performances of the proposed method. The numerical results demonstrate the
credibility of the present method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0317},
url = {http://global-sci.org/intro/article_detail/aamm/23736.html}
}