A fully-conservative sliding grid algorithm for compressible flows using an Isogeometric Discontinuous Galerkin scheme

Stefano Pezzano (1) , Régis Duvigneau (1)

1 ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences

This work aims at developing a high-order, fully conservative, discretization of sliding grids with applications to compressible flows at different regimes (from subsonic to supersonic). The proposed approach combines a discontinuous Galerkin formulation for Navier-Stokes equations with rational representations originating from Isogeometric Analysis, which allows to design a watertight and fully conservative sliding grid algorithm. A verification exercise is first carried out to rigorously establish the convergence rate of the method. Then, the accuracy and robustness are demonstrated for a flow around a pitching ellipse at different regimes. A comparison with a grid deformation technique and a sensitivity study with respect to the location of the sliding interface are also investigated. Finally, the flow around a vertical-axis wind turbine configuration is simulated to show the potentiality of the proposed approach to deal with more complex geometries.

Domaines: Mécanique des fluides [physics.class-ph]; Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]; Analyse numérique [cs.NA]

Stefano Pezzano, Régis Duvigneau. A fully-conservative sliding grid algorithm for compressible flows using an Isogeometric Discontinuous Galerkin scheme. 2021. ⟨hal-03439175v1⟩