Adaptive partition of unity interpolation method with moving patches
Adaptive partition of unity interpolation method with moving patches
复制标题
带有移动块的单位插值方法的自适应划分
DOI：
10.1016/j.matcom.2023.03.006
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发表时间：
2023
影响因子：
4.6
通讯作者：
Raessi, Mehdi
中科院分区：
文献类型：
--
作者：
Heryudono, Alfa;Raessi, Mehdi
探讨了由Aiton和Driscoll引入的使用Chebyshev局部插值的自适应分割统一插值方法，用于表示双介质问题的尖锐梯度函数的插值。对于在向量场下演化的函数，可以根据局部轮廓的变化动态，移动和调整统一补丁（覆盖）的划分。对选取的具有线性无发散矢量场的一维和二维双介质问题进行了测试。在这些情况下，每个补丁中的体积分数有助于整个域的体积守恒，可以保持高精度，甚至达到机器精度。该方法的应用包括体积跟踪和多相流建模。
The adaptive partition of unity interpolation method, introduced by Aiton and Driscoll, using Chebyshev local interpolants, is explored for interpolating functions with sharp gradients representing two-medium problems. For functions that evolve under vector fields, the partition of unity patches (covers) can be shifted and resized to follow the changing dynamics of local profiles. The method is tested for selected 1D and 2D two-medium problems with linear divergence-free vector fields. In those cases, the volume fraction in each patch contributing to volume conservation throughout the domain can be kept in high accuracy down to machine precisions. Applications that could benefit from the method include volume tracking and multiphase flow modeling.