Extended discontinuous Galerkin methods for two‐phase flows: the spatial discretization
Extended discontinuous Galerkin methods for two‐phase flows: the spatial discretization
复制标题
两相流的扩展间断伽辽金方法：空间离散化
DOI：
10.1002/nme.5288
复制
发表时间：
2017
影响因子：
2.9
通讯作者：
F. Kummer
中科院分区：
文献类型：
--
作者：
F. Kummer
本文讨论了两相流的间断Galerkin（DG）离散方法。流体界面由水平集表示，并且DG近似空间被适配成使得压力和速度场中的跳跃和扭结可以被急剧地近似。这种对原始DG空间的适应，可以对任意界面形状进行“即时”，被称为扩展的不连续Galerkin。通过将该方法与一种特殊的求积技术相结合，可以重新获得低正则解的谱收敛性质，数值例子证明了这一点。本文着重于空间离散化方面，特别强调如何克服与线性系统的求积、小割元和条件数有关的问题。时间离散化将在未来的工作中讨论。版权所有© 2016约翰威利父子有限公司.
This work discusses a discontinuous Galerkin (DG) discretization for two‐phase flows. The fluid interface is represented by a level set, and the DG approximation space is adapted such that jumps and kinks in pressure and velocity fields can be approximated sharply. This adaption of the original DG space, which can be performed ‘on‐the‐fly’ for arbitrary interface shapes, is referred to as extended discontinuous Galerkin. By combining this ansatz with a special quadrature technique, one can regain spectral convergence properties for low‐regularity solutions, which is demonstrated by numerical examples. This work focuses on the aspects of spatial discretization, and special emphasis is devoted on how to overcome problems related to quadrature, small cut cells, and condition number of linear systems. Temporal discretization will be discussed in future works. Copyright © 2016 John Wiley & Sons, Ltd.
基于不连续伽辽金的水平集方法中曲率的补丁恢复滤波器
DOI：
--
发表时间：
2015
期刊：
影响因子：
--
作者：
F. Kummer;T. Warburton
通讯作者：
T. Warburton
影响因子：
2.8
作者：
H. Sauerland;T. Fries
通讯作者：
H. Sauerland;T. Fries
影响因子：
4.1
作者：
Klein, Benedikt;Kummer, Florian;Oberlack, Martin
通讯作者：
Oberlack, Martin