A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators
作者：
Highlights：
• We numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography.
• We propose a new stable reformulation of the model with improved linear dispersive properties and an extended range of applicability.
• We develop a second order splitting scheme where the hyperbolic part of the system is treated with a high-order finite volume scheme and the dispersive part is treated with a finite difference approach.
• We perform several numerical simulations under two main goals: validating the model and the numerical methods and assessing the potential need of such higher-order model.
• We illustrate the applicability of the proposed model and numerical method in practical problems by a comparison with experimental data.
摘要
•We numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography.•We propose a new stable reformulation of the model with improved linear dispersive properties and an extended range of applicability.•We develop a second order splitting scheme where the hyperbolic part of the system is treated with a high-order finite volume scheme and the dispersive part is treated with a finite difference approach.•We perform several numerical simulations under two main goals: validating the model and the numerical methods and assessing the potential need of such higher-order model.•We illustrate the applicability of the proposed model and numerical method in practical problems by a comparison with experimental data.
论文关键词：Water waves,Boussinesq system,Higher-order asymptotic model,Splitting scheme,Hybrid finite volume/finite difference scheme
论文评审过程：Received 3 January 2022, Revised 1 June 2022, Accepted 30 June 2022, Available online 11 July 2022, Version of Record 11 July 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127373
