TY - JOUR
T1 - Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes
AU - Mishra , Siddhartha
AU - Parés-Pulido , Carlos
AU - G. Pressel , Kyle
JO - Communications in Computational Physics
VL - 5
SP - 1299
EP - 1335
PY - 2021
DA - 2021/03
SN - 29
DO - http://doi.org/10.4208/cicp.OA-2020-0046
UR - https://global-sci.org/intro/article_detail/cicp/18715.html
KW - Weighted essentially non-oscillatory schemes, finite difference, anelastic flow, staggered mesh, high-order methods.
AB - <p style="text-align: justify;">We propose a WENO finite difference scheme to approximate anelastic flows,
and scalars advected by them, on staggered grids. In contrast to existing WENO
schemes on staggered grids, the proposed scheme is designed to be arbitrarily high-order accurate as it judiciously combines ENO interpolations of velocities with WENO
reconstructions of spatial derivatives. A set of numerical experiments are presented
to demonstrate the increase in accuracy and robustness with the proposed scheme,
when compared to existing WENO schemes and state-of-the-art central finite difference schemes.</p>