Approximate deconvolution large eddy simulation of a barotropic ocean circulation model
arXiv:1104.2730 · doi:10.1016/j.ocemod.2011.08.003
Abstract
This paper puts forth a new large eddy simulation closure modeling strategy for two-dimensional turbulent geophysical flows. This closure modeling approach utilizes approximate deconvolution, which is based solely on mathematical approximations and does not employ additional phenomenological arguments to the model. The new approximate deconvolution model is tested in the numerical simulation of the wind-driven circulation in a shallow ocean basin, a standard prototype of more realistic ocean dynamics. The model employs the barotropic vorticity equation driven by a symmetric double-gyre wind forcing, which yields a four-gyre circulation in the time mean. The approximate deconvolution model yields the correct four-gyre circulation structure predicted by a direct numerical simulation, on a coarser mesh but at a fraction of the computational cost. This first step in the numerical assessment of the new model shows that approximate deconvolution could represent a viable tool for under-resolved computations in the large eddy simulation of more realistic turbulent geophysical flows.
References in corpus (1)
Cited by in corpus (22)
- Extreme learning machine for reduced order modeling of turbulent geophysical flows
- A non-intrusive reduced order modeling framework for quasi-geostrophic turbulence
- Sub-grid scale model classification and blending through deep learning
- Data-Driven Variational Multiscale Reduced Order Models
- A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation
- High-order methods for decaying two-dimensional homogeneous isotropic turbulence
- Approximate deconvolution large eddy simulation of a stratified two-layer quasigeostrophic ocean model
- A Finite Element Discretization of the Streamfunction Formulation of the Stationary Quasi-Geostrophic Equations of the Ocean
- A coarse-grid projection method for accelerating incompressible flow computations
- A posteriori analysis of low-pass spatial filters for approximate deconvolution large eddy simulations of homogeneous incompressible flows
- A Two-Level Finite Element Discretization of the Streamfunction Formulation of the Stationary Quasi-Geostrophic Equations of the Ocean
- Evaluation of explicit and implicit LES closures for Burgers turbulence
- Data-Driven Correction Reduced Order Models for the Quasi-Geostrophic Equations: A Numerical Investigation
- Stationary two-dimensional turbulence statistics using a Markovian forcing scheme
- Lagrangian Data-Driven Reduced Order Modeling of Finite Time Lyapunov Exponents
- Numerical assessments of ocean energy extraction from western boundary currents using a quasi-geostrophic ocean circulation model
- Ensemble Variational Fokker-Planck Methods for Data Assimilation
- Large Eddy Simulation of Turbulent Barotropic Flows in Spectral Space on the Sphere
- Linear and nonlinear filtering for a two-layer quasi-geostrophic ocean model
- Reduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey
- Unsmoothed Particle Hydrodynamics
- Explicit Filtering in Large Eddy Simulation of Barotropic Turbulence in Spectral Space