Quantifying Truncation-Related Uncertainties in Unsteady Fluid Dynamics Reduced Order Models
From MaRDI portal
Publication:5158919
DOI10.1137/19M1354819zbMath1481.60132OpenAlexW3142783575MaRDI QIDQ5158919
Bertrand Chapron, Valentin Resseguier, Agustin M. Picard, Etienne Mémin
Publication date: 26 October 2021
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1354819
proper orthogonal decompositionfluid dynamicsuncertainty quantificationreduced order modelstochastic closure
Stochastic analysis applied to problems in fluid mechanics (76M35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items
A consistent stochastic large-scale representation of the Navier-Stokes equations ⋮ Accelerating inverse inference of ensemble Kalman filter via reduced-order model trained using adaptive sparse observations ⋮ Real-time estimation and prediction of unsteady flows using reduced-order models coupled with few measurements
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Reduced basis techniques for stochastic problems
- A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems
- Strong and weak constraint variational assimilations for reduced order fluid flow modeling
- Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
- Adaptive sub-sampling for parametric estimation of Gaussian diffusions
- The interaction between noise and transport mechanisms in PDEs
- A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
- Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison
- Maximum likelihood drift estimation for multiscale diffusions
- Data-driven POD-Galerkin reduced order model for turbulent flows
- Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
- Stochastic representation of the Reynolds transport theorem: revisiting large-scale modeling
- Coarse large-eddy simulations in a transitional wake flow with flow models under location uncertainty
- POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder
- A stochastic projection method for fluid flow. II: Random process
- Stochastic level set dynamics to track closed curves through image data
- A reduced order variational multiscale approach for turbulent flows
- A concise course on stochastic partial differential equations
- Parameter estimation for multiscale diffusions
- A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
- Blending modified Gaussian closure and non-Gaussian reduced subspace methods for turbulent dynamical systems
- Sub-sampling and parametric estimation for multiscale dynamics
- A limit theorem for perturbed operator semigroups with applications to random evolutions
- Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms
- A hybrid reduced order method for modelling turbulent heat transfer problems
- Polynomial identification of POD based low-order dynamical system
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Dynamic mode decomposition of numerical and experimental data
- Optimal Control of Stochastic Flow over a Backward-Facing Step Using Reduced-Order Modeling
- Low-dimensional modelling of a confined three-dimensional wake flow
- The dynamics of coherent structures in the wall region of a turbulent boundary layer
- STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND TURBULENCE
- Data-Driven Filtered Reduced Order Modeling of Fluid Flows
- Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis
- Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs
- Numerically Modeling Stochastic Lie Transport in Fluid Dynamics
- Reduced Basis Methods for Uncertainty Quantification
- Stochastic Navier--Stokes Equations for Turbulent Flows
- Asymptotic theory of mixing stochastic ordinary differential equations
- A mathematical framework for stochastic climate models
- Stochastic modelling and diffusion modes for proper orthogonal decomposition models and small-scale flow analysis
- A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation
- Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems
- Nonlinear and Stochastic Climate Dynamics
- The role of additive and multiplicative noise in filtering complex dynamical systems
- Variational principles for stochastic fluid dynamics
- A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data
- Small-Scale Structure of a Scalar Field Convected by Turbulence
- Analytical theories of turbulence
- Linear iterative method for closed-loop control of quasiperiodic flows
- Fluid flow dynamics under location uncertainty
- Geophysical flows under location uncertainty, Part I Random transport and general models
- Geophysical flows under location uncertainty, Part II Quasi-geostrophy and efficient ensemble spreading
- Data Assimilation
- Stochastic Equations in Infinite Dimensions
