Toward a high-order mesh adaptation strategy for unsteady flows on overlapping grids in a finite-volume framework

摘要

The present paper aims to couple an unstructured Finite Volume formulation using a multi-level grid overlapping methodology based on geometric intersection algorithms with an adaptive remeshing strategy for unsteady aerodynamics applications. A general high-order repartition of the variables for any subdivision of a cell is presented and then applied to an Adaptive Mesh Refinement module and a disassembling one for the intersected cells: a third-order accurate and conservative projection of the variables has been implemented. An assessment of the accuracy is performed on the advection of a vortex with and without a geometric intersection of grids. Finally a more complex functional test case is studied, it is the resolution of the wake structure of a transsonic square cylinder.