A thorough description of one-dimensional steady open channel flows using the notion of viscosity solution

作者：

Highlights：

• One-dimensional steady open channel flows are of engineering importance.

• Dirichlet problems are posed for the governing equation of Hamilton-Jacobi type.

• Viscosity solutions thoroughly represent possible water surface profiles.

• A necessary condition for non-uniqueness of viscosity solutions is presented.

摘要

•One-dimensional steady open channel flows are of engineering importance.•Dirichlet problems are posed for the governing equation of Hamilton-Jacobi type.•Viscosity solutions thoroughly represent possible water surface profiles.•A necessary condition for non-uniqueness of viscosity solutions is presented.

论文关键词：Open channel flow,Viscosity solution,Generalized solution,Hydraulic jump,Gradually varied flow

论文评审过程：Received 13 April 2021, Revised 17 September 2021, Accepted 7 October 2021, Available online 23 October 2021, Version of Record 23 October 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126730