Adjoint-based phase reduction analysis of incompressible periodic flows
Yoji Kawamura, Vedasri Godavarthi, Kunihiko Taira
Abstract
Phase reduction is a reduced-order modeling technique that can express the high-dimensional periodic dynamics with a single scalar phase variable. We develop an adjoint-based phase reduction framework for incompressible periodic flows. This adjoint-based analysis reveals the high-fidelity spatial sensitivity fields with respect to a perturbation over the limit cycle of a periodic flow in a computationally efficient manner.
Topics & Concepts
CompressibilityScalar (mathematics)Perturbation (astronomy)Reduction (mathematics)MathematicsIncompressible flowAdjoint equationLimit cycleLimit (mathematics)Mathematical analysisSensitivity (control systems)Applied mathematicsPhysicsMechanicsGeometryPartial differential equationEngineeringQuantum mechanicsElectronic engineeringFluid Dynamics and Vibration AnalysisFluid Dynamics and Turbulent FlowsLattice Boltzmann Simulation Studies