@Article{CiCP-5-836,
author = {Yong-Tao Zhang and Chi-Wang Shu},
title = {Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {2-4},
pages = {836--848},
abstract = {<p style="text-align: justify;">We extend the weighted essentially non-oscillatory (WENO) schemes on
two dimensional triangular meshes developed in [7] to three dimensions, and construct a third order finite volume WENO scheme on three dimensional tetrahedral
meshes. We use the Lax-Friedrichs monotone flux as building blocks, third order reconstructions made from combinations of linear polynomials which are constructed on
diversified small stencils of a tetrahedral mesh, and non-linear weights using smoothness indicators based on the derivatives of these linear polynomials. Numerical examples are given to demonstrate stability and accuracy of the scheme.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7766.html}
}