Title: A Hybrid Approach for Model Order Reduction of Barotropic Quasi-Geostrophic Turbulence

Journal Article · · Fluids
 [1]; ORCiD logo [2];  [3]
  1. Oklahoma State Univ., Stillwater, OK (United States); Oklahoma State University Stillwater
  2. Oklahoma State Univ., Stillwater, OK (United States)
  3. SINTEF Digital, Trondheim (Norway)
+ Show Author Affiliations

We put forth a robust reduced-order modeling approach for near real-time prediction of mesoscale flows. In our hybrid-modeling framework, we combine physics-based projection methods with neural network closures to account for truncated modes. We introduce a weighting parameter between the Galerkin projection and extreme learning machine models and explore its effectiveness, accuracy and generalizability. To illustrate the success of the proposed modeling paradigm, we predict both the mean flow pattern and the time series response of a single-layer quasi-geostrophic ocean model, which is a simplified prototype for wind-driven general circulation models. We demonstrate that our approach yields significant improvements over both the standard Galerkin projection and fully non-intrusive neural network methods with a negligible computational overhead.

Research Organization:
Oklahoma State Univ., Stillwater, OK (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Grant/Contract Number:
SC0019290
OSTI ID:
1593573
Journal Information:
Fluids, Journal Name: Fluids Journal Issue: 4 Vol. 3; ISSN 2311-5521; ISSN FLUICM
Publisher:
MDPICopyright Statement
Country of Publication:
United States
Language:
English

References (87)

Calibration of POD reduced-order models using Tikhonov regularization journal January 2009
An improved algorithm for the shallow water equations model reduction: Dynamic Mode Decomposition vs POD: AN IMPROVED ALGORITHM FOR DYNAMIC MODE DECOMPOSITION VS POD journal April 2015
Randomized dynamic mode decomposition for nonintrusive reduced order modelling: RANDOMIZED DYNAMIC MODE DECOMPOSITION FOR NIROM journal February 2017
Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow. Part I journal August 1997
A Reduced-Order Method for Simulation and Control of Fluid Flows journal July 1998
Stability Properties of POD-Galerkin Approximations for the Compressible Navier-Stokes Equations journal March 2000
Numeric sensitivity analysis applied to feedforward neural networks journal November 2003
A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation journal May 2015
Extreme learning machines: a survey journal May 2011
An analysis of numerical issues in neural training by pseudoinversion journal June 2015
Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I journal August 1966
Multilayer feedforward networks are universal approximators journal January 1989
Renewable energy from the ocean journal November 2002
Current developments and future prospects of offshore wind and ocean energy journal February 2012
Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison journal September 2012
SUPG reduced order models for convection-dominated convection–diffusion–reaction equations journal June 2015
A reduced-order model for heat transfer in multiphase flow and practical aspects of the proper orthogonal decomposition journal August 2012
On the sensitivity and accuracy of proper-orthogonal-decomposition-based reduced order models for Burgers equation journal January 2015
Sales forecasting using extreme learning machine with applications in fashion retailing journal December 2008
A proper orthogonal decomposition method for nonlinear flows with deforming meshes journal December 2014
Numerical assessments of ocean energy extraction from western boundary currents using a quasi-geostrophic ocean circulation model journal December 2016
The origins of computer weather prediction and climate modeling journal March 2008
Acceleration techniques for reduced-order models based on proper orthogonal decomposition journal August 2008
Reduced order models based on local POD plus Galerkin projection journal April 2010
Extreme learning machine: Theory and applications journal December 2006
Convex incremental extreme learning machine journal October 2007
Approximate deconvolution large eddy simulation of a barotropic ocean circulation model journal January 2011
Dynamically consistent parameterization of mesoscale eddies. Part I: Simple model journal March 2015
Reduced-order modeling: new approaches for computational physics journal February 2004
Climate dynamics and fluid mechanics: Natural variability and related uncertainties journal August 2008
A hierarchy of low-dimensional models for the transient and post-transient cylinder wake journal December 2003
On the need for a nonlinear subscale turbulence term in POD models as exemplified for a high-Reynolds-number flow over an Ahmed body journal April 2014
Closed-loop separation control using machine learning journal April 2015
A neural network approach for the blind deconvolution of turbulent flows journal October 2017
Mesoscale atmosphere ocean coupling enhances the transfer of wind energy into the ocean journal June 2016
Hybrid forecasting of chaotic processes: Using machine learning in conjunction with a knowledge-based model journal April 2018
Application of neural networks to turbulence control for drag reduction journal June 1997
Computation of rare transitions in the barotropic quasi-geostrophic equations journal January 2015
Total variation diminishing Runge-Kutta schemes journal January 1998
Turbulence and the dynamics of coherent structures. I. Coherent structures journal January 1987
Renewable Energy from the Ocean book June 1994
Increasing horizontal resolution in numerical weather prediction and climate simulations: illusion or panacea? journal June 2014
Extreme learning machine for reduced order modeling of turbulent geophysical flows journal April 2018
Searching for turbulence models by artificial neural network journal May 2017
Physics-informed machine learning approach for augmenting turbulence models: A comprehensive framework journal July 2018
Random Changes of Flow Topology in Two-Dimensional and Geophysical Turbulence journal March 2009
Upper bounds on the number of hidden neurons in feedforward networks with arbitrary bounded nonlinear activation functions journal January 1998
Neuro-Fuzzy and Soft Computing-A Computational Approach to Learning and Machine Intelligence [Book Review] journal October 1997
Numerical Integration of the Barotropic Vorticity Equation journal November 1950
On the Wind-Driven Ocean Circulation journal August 1956
Closed-Loop Turbulence Control: Progress and Challenges journal August 2015
Hybrid Reduced-Order Integration with Proper Orthogonal Decomposition and Dynamic Mode Decomposition journal January 2013
Data-Driven Filtered Reduced Order Modeling of Fluid Flows journal January 2018
Numerical Simulations of a Two-Layer Quasi-Geostrophic Equation of the Ocean journal January 2000
Model Reduction for Flow Analysis and Control journal January 2017
Some Recent Developments in Turbulence Closure Modeling journal January 2018
On the Wind-Driven Ocean Circulation journal April 1950
Numerical Simulations of the Vertical Structure of Quasi-Geostrophic Turbulence journal December 1986
The Role of Mesoscale Eddies in the General Circulation of the Ocean—Numerical Experiments Using a Wind-Driven Quasi-Geostrophic Model journal May 1978
Emergence of Inertial Gyres in a Two-Layer Quasigeostrophic Ocean Model journal March 1998
Four-Gyre Circulation in a Barotropic Model with Double-Gyre Wind Forcing journal June 2000
Dispersive–Dissipative Eddy Parameterization in a Barotropic Model journal August 2001
Modeling Mesoscale Turbulence in the Barotropic Double-Gyre Circulation journal November 2003
Variational Data Assimilation with an Adiabatic Version of the NMC Spectral Model journal July 1992
The Effects of Mesoscale Ocean–Atmosphere Coupling on the Large-Scale Ocean Circulation journal August 2009
Inertial gyres in decaying and forced geostrophic turbulence journal November 1992
Data-assisted reduced-order modeling of extreme events in complex dynamical systems journal May 2018
An Efficient Coarse grid Projection Method for Quasigeostrophic Models of Large-Scale Ocean Circulation journal January 2013
Modal Analysis of Fluid Flows: An Overview journal December 2017
Multilevel Algorithm for Obtaining the Proper Orthogonal Decomposition journal November 2018
A Proper Orthogonal Decomposition Method for Nonlinear Flows with Deforming Meshes conference January 2013
Dynamically Consistent Parameterization of Mesoscale Eddies—Part II: Eddy Fluxes and Diffusivity from Transient Impulses journal June 2016
Multiscale Stuart-Landau Emulators: Application to Wind-Driven Ocean Gyres journal March 2018
Numerical Integration of the Barotropic Vorticity Equation journal January 1950
On the Wind-Driven Ocean Circulation journal January 1956
Mesoscale atmosphere ocean coupling enhances the transfer of wind energy into the ocean text January 2016
Data-assisted reduced-order modeling of extreme events in complex dynamical systems text January 2018
Climate dynamics and fluid mechanics: Natural variability and related uncertainties text January 2010
Approximate deconvolution large eddy simulation of a barotropic ocean circulation model text January 2011
Proper Orthogonal Decomposition Closure Models For Turbulent Flows: A Numerical Comparison text January 2011
On the need for a nonlinear subscale turbulence term in POD models as exemplified for a high Reynolds number flow over an Ahmed body text January 2013
An analysis of numerical issues in neural training by pseudoinversion preprint January 2015
Numerical assessments of ocean energy extraction from western boundary currents using a quasi-geostrophic ocean circulation model text January 2016
Modal Analysis of Fluid Flows: An Overview preprint January 2017
A neural network approach for the blind deconvolution of turbulent flows text January 2017
Physics-Informed Machine Learning Approach for Augmenting Turbulence Models: A Comprehensive Framework text January 2018
Hybrid Forecasting of Chaotic Processes: Using Machine Learning in Conjunction with a Knowledge-Based Model text January 2018

Cited By (5)

A dynamic closure modeling framework for model order reduction of geophysical flows journal April 2019
Memory embedded non-intrusive reduced order modeling of non-ergodic flows journal December 2019
Nonintrusive reduced order modeling framework for quasigeostrophic turbulence journal November 2019
A dynamic closure modeling framework for model order reduction of geophysical flows preprint January 2019
Memory embedded non-intrusive reduced order modeling of non-ergodic flows text January 2019

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42 ENGINEERING
Galerkin projection
extreme learning machine
hybrid modeling
proper orthogonal decomposition
quasi-geostrophic ocean model