A conformal decomposition finite element method for arbitrary discontinuities on moving interfaces
A conformal decomposition finite element method for arbitrary discontinuities on moving interfaces
复制标题
移动界面上任意不连续点的共形分解有限元方法
DOI：
10.1002/nme.4717
复制
发表时间：
2014
影响因子：
2.9
通讯作者：
D. Noble
中科院分区：
文献类型：
--
作者：
R. Kramer;D. Noble
界面捕捉方法，使用丰富的有限元公式非常适合于解决多材料输运问题，包含弱或强的不连续性。保角分解有限元法将非协调背景网格的多材料单元分解为符合使用水平集方法捕获的材料界面的子单元。随着界面的演变，界面节点移动，背景节点可能会改变材料。目前的工作介绍了处理移动界面的背景下，弱和强不连续场的共形分解有限元方法。采用外推法和移动网格法的动力离散化方法被认为是一阶和二阶时间积分方法。移动网格方法被证明是一种稳定的方法，在各种一维和二维测试问题上保持弱和强不连续性，同时在空间和时间上实现预期的二阶误差收敛速度。版权所有© 2014约翰威利父子有限公司.
Interface capturing methods using enriched finite element formulations are well suited for solving multimaterial transport problems that contain weak or strong discontinuities. The conformal decomposition FEM decomposes multimaterial elements of a non‐conforming background mesh into sub‐elements that conform to material interfaces captured using a level set method. As the interface evolves, interfacial nodes move, and background nodes may change material. The present work describes approaches for handling moving interfaces in the context of the conformal decomposition FEM for both weakly and strongly discontinuous fields. Dynamic discretization methods using extrapolation and moving mesh approaches are considered and developed with first‐order and second‐order time integration methods. The moving mesh approach is demonstrated to be a stable method that preserves both weak and strong discontinuities on a variety of one‐dimensional and two‐dimensional test problems, while achieving the expected second‐order error convergence rate in space and time. Copyright © 2014 John Wiley & Sons, Ltd.
DOI：
10.1016/j.cma.2013.01.007
发表时间：
2013-05
影响因子：
7.2
作者：
Y. Sudhakar;W. Wall
通讯作者：
Y. Sudhakar;W. Wall
应用于凝固和溶剂化的界面拟合有限元水平集方法。
影响因子：
3.7
作者：
Li,Bo;Shopple,John
通讯作者：
Shopple,John