Abstract
The conservative cascade scheme (CCS) combines a one-dimensional mass-conserving finite-volume method with an efficient semi-Lagrangian scheme over the sphere. Major limitations of this scheme are a breakdown in the polar region due to the coordinate singularity and a restriction to polar meridional Courant number Cθ ≤ 1. The proposed scheme is an extension of the CCS over the sphere for Cθ > 1. This is achieved by isolating a region near the pole where the CCS fails and applying a two-dimensional remapping based on the cell-integrated semi-Lagrangian (CISL) scheme. The interface between these two schemes is the singular polar region where the total mass is computed and redistributed in a conservative manner. The resulting scheme is applicable to large polar Courant number and is tested using solid-body rotation and a deformational flow.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
