Statistical energy conservation principle for inhomogeneous turbulent dynamical systems
Abstract
Understanding the complexity of anisotropic turbulent processes over a wide range of spatiotemporal scales in engineering shear turbulence as well as climate atmosphere ocean science is a grand challenge of contemporary science with important societal impact. In such inhomogeneous turbulent dynamical systems, there is a large dimensional phase space with a large dimension of unstable directions where a large-scale ensemble mean and the turbulent fluctuations exchange energy and strongly influence each other. These complex features strongly impact practical prediction and uncertainty quantification. A systematic energy conservation principle is developed here in a Theorem that precisely accounts for the statistical energy exchange between the mean flow and the related turbulent fluctuations.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jul 06, 2015
- Source ID
- 10.1073/pnas.1510465112
Entities
People
- Andrew J. Majda
Organizations
- New York University
- Office of Naval Research