期刊
JOURNAL OF SCIENTIFIC COMPUTING
卷 70, 期 2, 页码 551-575出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-016-0257-y
关键词
Essentially non-oscillatory method; Weighted essentially non-oscillatory method; Radial basis function interpolation; Finite difference method
We present adaptive finite difference ENO/WENO methods with infinitely smooth radial basis functions (RBFs). These methods slightly perturb the polynomial reconstruction coefficients with RBFs as the reconstruction basis and enhance accuracy in the smooth region by locally optimizing the shape parameters. Compared to the classical ENO/WENO methods, the RBF-ENO/WENO methods provide more accurate reconstructions and sharper solution profiles near the jump discontinuity. Furthermore the RBF-ENO/WENO methods are easy to implement in the existing classical ENO/WENO code. The numerical results in 1D and 2D presented in this paper show that the proposed finite difference RBF-ENO/WENO methods perform better than the classical ENO/WENO methods.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据