Litcius/Paper detail

Spectral proper orthogonal decomposition analysis of the turbulent wake of a disk at Re = 50 000

S. Nidhan, K. Chongsiripinyo, O. T. Schmidt, S. Sarkar

2020Physical Review Fluids38 citationsDOIOpen Access PDF

Abstract

To study coherent structures and low-dimensional modes in turbulent shear flows we apply spectral proper orthogonal decomposition (SPOD) to simulation data from the turbulent wake of a disk at a Reynolds number of 50,000. Two principal constituents are found: a vortex shedding (m=1) and a double helix (m=2) mode. The SPOD spectrum illustrates the dominance of the leading eigenvalues. The turbulent kinetic energy and Reynolds stress profiles, when reconstructed at different downstream locations, show that the Reynolds shear stress exhibits strong low-rank behavior. The streamwise evolution of modal constituents reveals a transition from the m=1 mode in the near wake to m=2 in the far wake.

Topics & Concepts

WakeTurbulenceProper orthogonal decompositionReynolds numberReynolds stressPhysicsVortex sheddingMechanicsVortexTurbulence kinetic energyDynamic mode decompositionClassical mechanicsShear stressShear (geology)Kármán vortex streetReynolds-averaged Navier–Stokes equationsStatistical physicsKinetic energyVorticityGeometryWake turbulenceReynolds decompositionMathematicsShear flowDirect numerical simulationScalingStress (linguistics)Flow separationStrouhal numberFluid Dynamics and Turbulent FlowsModel Reduction and Neural NetworksTurbomachinery Performance and Optimization