@Article{CiCP-28-4,
author = {Qing, Fang and Yu, Xijun and Zupeng, Jia and Qiu, Meilan and Zhao, Xiaolong},
title = {A High-Order Cell-Centered Discontinuous Galerkin Multi-Material Arbitrary Lagrangian-Eulerian Method},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {4},
pages = {1464--1501},
abstract = {<p style="text-align: justify;">In this paper, a high-order cell-centered discontinuous Galerkin (DG) multi-material arbitrary Lagrangian-Eulerian (MMALE) method is developed for compressible fluid dynamics. The MMALE method utilizes moment-of-fluid (MOF) interface
reconstruction technology to simulate multi-materials of immiscible fluids. It is an
explicit time-marching Lagrangian plus remap type. In the Lagrangian phase, an updated high-order discontinuous Galerkin Lagrangian method is applied for the discretization of hydrodynamic equations, and Tipton&#39;s pressure relaxation closure model
is used in the mixed cells. A robust moment-of-fluid interface reconstruction algorithm
is used to provide the information of the material interfaces for remapping. In the rezoning phase, Knupp&#39;s algorithm is used for mesh smoothing. For the remapping
phase, a high-order accurate remapping method of the cell-intersection-based type is
proposed. It can be divided into four stages: polynomial reconstruction, polygon intersection, integration, and detection of problematic cells and limiting. Polygon intersection is based on the &quot;clipping and projecting&quot; algorithm, and detection of problematic
cells depends on a troubled cell marker, and a posteriori multi-dimensional optimal order detection (MOOD) limiting strategy is used for limiting. Numerical tests are given
to demonstrate the robustness and accuracy of our method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0207},
url = {https://global-sci.com/article/79728/a-high-order-cell-centered-discontinuous-galerkin-multi-material-arbitrary-lagrangian-eulerian-method}
}