POD-Galerkin advection model for convective flow Application to a flapping rectangular supersonic jet

V. Jaunet (1) , E Collin (1) , J Delville (1)

1 PPrime [Poitiers] - Institut Pprime [UPR 3346]

This article describes a model obtained by applying Proper Orthogonal Decomposition to the ad-vection equation. The resulting set of equations links the POD modes, their temporal and spatial derivatives and the flow convection velocity. It provides a technique to calculate the convection velocity of coherent structures. It follows, from the model, that a priori knowledge of the convection velocity suffices to construct a dynamical model of the flow. This is demonstrated using experimental data.

Mots clés: Convection velocity; Proper Orthogonal Decomposition; Supersonic jet; Low order dynamical systems; Advection equation

Domaines: Mécanique des fluides [physics.class-ph]

V. Jaunet, E Collin, J Delville. POD-Galerkin advection model for convective flow Application to a flapping rectangular supersonic jet. Experiments in Fluids, 2016, ⟨10.1007/s00348-016-2156-2⟩. ⟨hal-02339478⟩