printer friendly pageME 361: Turbulence
The nature of turbulent flows, statistical and spectral description of turbulence, coherent structures, spatial and temporal scales of turbulent flows. Averaging, two-point correlations and governing equations. Reynolds averaged equations and stresses. Free shear flows, turbulent jet, turbulent kinetic energy and kinetic energy dissipation, and kinetic energy budget. Kolmogorov's hypothesis and energy spectrum. Wall bounded flows, viscous scales, and law of the wall. Turbulence closure modeling for Reynolds averaged Navier Stokes equations. Direct and large eddy simulation of turbulent flows. Subgrid scale modeling. ME300B recommended.
Terms: Spr
| Units: 3
Instructors:
Mani, A. (PI)
;
Le, H. (TA)
ME 451C: Advanced Fluid Mechanics - Low-Order Modeling for Turbulent Flow
Statistical analysis of turbulent flow data. Modal representations. Goals for low - order models, observability and controllability. Data-driven techniques: proper orthogonal decomposition (POD)/principal component analysis (PCA), spectral POD, dynamic mode decomposition, linear stochastic estimation, and their extensions. Disambiguating linear and nonlinear effects, sparse identification of nonlinear dynamics (SINDy), Koopman analysis, etc. Equation-driven models: eigenanalysis, pseudospectra, resolvent analysis. Connections between data-driven and equation-driven modeling approaches. Low-order models for turbulent flows. Prerequisites: Familiarity with turbulent flows (
ME 361), or consent of the instructor.
Last offered: Winter 2024
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