Very high order well-balanced schemes for non-prismatic one-dimensional channels with arbitrary shape
作者：
Highlights：
• 1.5D shallow water flows on canals with arbitrarily varying cross section.
• reformulation of the model avoiding moments of channel cross section function in the source terms.
• path conservative approach for arbitrarily high order schemes.
• CWENO reconstruction for order 3.
• well-balanced scheme on lake-at-rest and rubust wet-dry transitions.
摘要
•1.5D shallow water flows on canals with arbitrarily varying cross section.•reformulation of the model avoiding moments of channel cross section function in the source terms.•path conservative approach for arbitrarily high order schemes.•CWENO reconstruction for order 3.•well-balanced scheme on lake-at-rest and rubust wet-dry transitions.
论文关键词：Saint-Venant system,Shallow water equations,Well-balanced schemes,Non-prismatic channel,Channel of arbitrary shape,Path-conservative scheme,CWENO reconstruction,High-order finite volume scheme
论文评审过程：Received 4 November 2019, Revised 9 December 2020, Accepted 9 January 2021, Available online 27 January 2021, Version of Record 27 January 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.125993
