Hyperbolic relaxation models for thin films down an inclined plane

作者：

Highlights：

• A first-order hyperbolic reformulation of viscous thin film flows is presented.

• The presented model compares well with reference solutions and experimental data.

• The approach extends naturally to general forms of surface tension terms.

• Viscous-dispersive equations can be well modeled by hyperbolic equations.

摘要

•A first-order hyperbolic reformulation of viscous thin film flows is presented.•The presented model compares well with reference solutions and experimental data.•The approach extends naturally to general forms of surface tension terms.•Viscous-dispersive equations can be well modeled by hyperbolic equations.

论文关键词：Thin films,Fluid flows with surface tension,First-order hyperbolic equations,Finite volumes

论文评审过程：Received 4 April 2022, Revised 2 July 2022, Accepted 2 July 2022, Available online 20 July 2022, Version of Record 20 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127378