Global analysis of Navier–Stokes and Boussinesq stochastic flows using dynamical orthogonality
From MaRDI portal
Publication:2878441
DOI10.1017/jfm.2013.458zbMath1294.76089OpenAlexW1974365244MaRDI QIDQ2878441
Pierre F. J. Lermusiaux, M. P. Ueckermann, Themistoklis P. Sapsis
Publication date: 29 August 2014
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jfm.2013.458
Nonlinear effects in hydrodynamic stability (76E30) Stochastic analysis applied to problems in fluid mechanics (76M35) Convection in hydrodynamic stability (76E06) Statistical solutions of Navier-Stokes and related equations (76D06)
Related Items
On the equivalence of dynamically orthogonal and bi-orthogonal methods: theory and numerical simulations ⋮ Model Order Reduction for Stochastic Dynamical Systems with Continuous Symmetries ⋮ Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport ⋮ A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems ⋮ A Geometric Approach to Dynamical Model Order Reduction ⋮ Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state ⋮ Dynamical criteria for the evolution of the stochastic dimensionality in flows with uncertainty ⋮ Risk-optimal path planning in stochastic dynamic environments ⋮ Iterated pressure-correction projection methods for the unsteady incompressible Navier-Stokes equations ⋮ Bayesian learning of stochastic dynamical models ⋮ Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs
Cites Work
- Unnamed Item
- Unnamed Item
- A convergence study for SPDEs using combined polynomial chaos and dynamically-orthogonal schemes
- A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems
- Lessons in uncertainty quantification for turbulent dynamical systems
- Dynamical criteria for the evolution of the stochastic dimensionality in flows with uncertainty
- Dynamically orthogonal field equations for continuous stochastic dynamical systems
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- Flow transitions in laminar Rayleigh-Bénard convection in a cubical cavity at moderate Rayleigh numbers
- An overview of projection methods for incompressible flows
- Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state
- Uncertainty estimation and prediction for interdisciplinary ocean dynamics
- Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency
- Reduced-order models for closed-loop wake control
- Mean field representation of the natural and actuated cylinder wake
- Stochastic bifurcation analysis of Rayleigh–Bénard convection
- Ten Lectures on Wavelets
- The non-Gaussian statistics of the velocity field in low-resolution large-eddy simulations of homogeneous turbulence
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- Analysis and direct numerical simulation of the flow at a gravity-current head. Part 1. Flow topology and front speed for slip and no-slip boundaries
- A subspace approach to balanced truncation for model reduction of nonlinear control systems
- Non-Gaussian scalar statistics in homogeneous turbulence
- Snapshot-Based Balanced Truncation for Linear Time-Periodic Systems
- Attractor local dimensionality, nonlinear energy transfers and finite-time instabilities in unstable dynamical systems with applications to two-dimensional fluid flows
- Uncertainty propagation in CFD using polynomial chaos decomposition
- The spatial structure and statistical properties of homogeneous turbulence
- A stochastic projection method for fluid flow. I: Basic formulation
