A new run-up algorithm based on local high-order analytic expansions

作者：

Highlights：

• New asymptotic solutions in the vicinity of the shoreline are derived.

• A novel run-up algorithm is proposed based on more accurate knowledge of the shoreline dynamics.

• This algorithm is tested against the known analytical solutions and experimental data.

摘要

•New asymptotic solutions in the vicinity of the shoreline are derived.•A novel run-up algorithm is proposed based on more accurate knowledge of the shoreline dynamics.•This algorithm is tested against the known analytical solutions and experimental data.

论文关键词：primary,74J15,secondary,74S10,74J30,Nonlinear shallow water equations,Finite volumes,Finite differences,Wave run-up,Asymptotic expansion

论文评审过程：Received 29 November 2014, Revised 22 September 2015, Available online 14 December 2015, Version of Record 23 December 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2015.12.004