Application of Dynamic Mode Decomposition Techniques to Unsteady Flows

• Grant number: 22/04292-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2022
• End date: September 30, 2022
• Field of knowledge: Engineering - Aerospace Engineering - Aerodynamics
• Principal Investigator: William Roberto Wolf
• Grantee: Francisco Eduardo Galastri Prado Telles
• Host Institution: Faculdade de Engenharia Mecânica (FEM). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 21/06448-0 - High-fidelity numerical simulations applied in unsteady aerodynamics, turbulence and aeroacoustics, AP.JP2

Abstract

Unsteady flows can exhibit a wide range of spatial and temporal scales. For example, at high Reynolds numbers, turbulent flows develop with a broad separation of scales. Typically, the dynamical systems that govern these flows are nonlinear and allow intermittent and chaotic events. The analysis of turbulent flows often requires statistical post-processing techniques which allow a better understanding of the physics at hand. Despite the chaotic regimes, organized motions can also be observed in turbulence. In this context, it has become common practice in the fluid mechanics community to employ modal decomposition techniques to extract physically relevant features and coherent patterns in turbulence. In this work, the dynamic mode decomposition (DMD) will be applied to investigate the dynamically relevant features in problems that model transition to turbulence. DMD and its variants will also be employed with datasets of unsteady flows generated by high-fidelity simulations in order to educe coherent structures and understand their dynamics.