An approximate inertial manifold (AIM) based closure for turbulent flows
Abstract
A closure model for turbulent flows is developed based on a dynamical system theory. An appropriately discretized formulation of the governing equations is considered for this process. The key ingredient is an approximation of the system’s attractor, where all the trajectories in phase space are confined. This approximate inertial manifold based approach provides a path to track trajectories of the system in a lower-dimensional subspace. Unlike conventional coarse-graining approaches, the turbulent field is decomposed into resolved and unresolved dynamics using the properties of the governing equations. The novelty of the approach relies on the reconstruction of the unresolved field constrained by the governing equations. A posteriori tests for homogeneous isotropic turbulence and the Kuramoto–Sivashinsky equation show promising results for considerable dimension reduction with strong convergence properties. The proposed model outperforms the dynamic Smagorinsky model, and the computational overhead is competitive with similar approaches.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jul 01, 2022
- Source ID
- 10.1063/5.0097981
Entities
People
- Malik Hassanaly
- Maryam Akram
- Venkat Raman
Organizations
- National Renewable Energy Laboratory
- Office of Naval Research
- United States Department of Energy
- University of Michigan