TY - JOUR
T1 - Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes
JO - Communications in Computational Physics
VL - 2-4
SP - 836
EP - 848
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7766.html
KW - 
AB - <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>