Use of eddy viscosity in resolvent analysis of turbulent channel flow
Sean Symon, Anagha Madhusudanan, Simon J. Illingworth, Ivan Maruŝiĉ
Abstract
The predictions of resolvent analysis with and without eddy viscosity are evaluated for a friction Reynolds number of 550. The low-rank behavior of the standard resolvent identifies energetic regions of the flow whereas the eddy resolvent is low rank when the resulting projection of the leading eddy resolvent mode onto the leading mode from spectral proper orthogonal decomposition is maximum. The energy dissipation and transport that are introduced by the eddy viscosity are examined to explain the success or failure of predictions from the eddy resolvent.
Topics & Concepts
ResolventTurbulence modelingMechanicsTurbulenceDissipationFlow (mathematics)PhysicsResolvent formalismReynolds numberMathematicsClassical mechanicsStatistical physicsMathematical analysisThermodynamicsBanach spaceFinite-rank operatorFluid Dynamics and Turbulent FlowsHeat Transfer MechanismsTurbomachinery Performance and Optimization