A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes

作者：

Highlights：

• Extension of the hybrid FV/FE method from incompressible to fully compressible flows.

• Use of explicit Godunov-type finite volume and LADER schemes for the nonlinear convective terms.

• Use of classical continuous finite elements for the pressure equation.

• Pressure based semi-implicit method for compressible flows on staggered unstructured meshes.

• All Mach number flow solver.

摘要

•Extension of the hybrid FV/FE method from incompressible to fully compressible flows.•Use of explicit Godunov-type finite volume and LADER schemes for the nonlinear convective terms.•Use of classical continuous finite elements for the pressure equation.•Pressure based semi-implicit method for compressible flows on staggered unstructured meshes.•All Mach number flow solver.

论文关键词：All Mach number flow solver,Pressure-based projection method,Finite element method,Finite volume scheme,Semi-implicit scheme on unstructured staggered meshes,ADER methodology

论文评审过程：Received 11 January 2021, Revised 5 February 2021, Accepted 13 February 2021, Available online 10 March 2021, Version of Record 10 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126117