An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations

作者：

Highlights：

• Extension of the semi-implicit hybrid FV/FE method to moving unstructured ALE meshes

• Splitting of the PDE into a convective-viscous subsystem and a pressure subsystem

• Space-time divergence form of the governing PDE on moving space-time control volumes

• Geometric conservation law (GCL) is guaranteed by construction

• Provably kinetic energy preserving / energy stable numerical flux on moving meshes

摘要

•Extension of the semi-implicit hybrid FV/FE method to moving unstructured ALE meshes•Splitting of the PDE into a convective-viscous subsystem and a pressure subsystem•Space-time divergence form of the governing PDE on moving space-time control volumes•Geometric conservation law (GCL) is guaranteed by construction•Provably kinetic energy preserving / energy stable numerical flux on moving meshes

论文关键词：Projection method for the Navier-Stokes equations,Staggered semi-implicit schemes,Kinetic energy preserving finite volume method,Continuous finite element method,Arbitrary-Lagrangian-Eulerian (ALE) method,Weakly compressible flows,Space-time control volumes and geometric conservation law (GCL)

论文评审过程：Received 27 June 2022, Revised 30 August 2022, Accepted 5 September 2022, Available online 18 September 2022, Version of Record 18 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127539