Proper Orthogonal Decomposition Closure Models For Turbulent Flows: A Numerical Comparison

TL;DR

This paper compares various closure models for proper orthogonal decomposition reduced-order modeling of turbulent flows, demonstrating that dynamic subgrid-scale and variational multiscale models outperform others in simulations of flow around a cylinder.

Contribution

Introduces and numerically compares two new closure models for POD reduced-order modeling of turbulent flows, benchmarking against existing models and DNS data.

Findings

Dynamic subgrid-scale and variational multiscale models perform best.

All models are benchmarked against direct numerical simulation.

Performance assessed via kinetic energy spectrum and POD coefficient evolution.

Abstract

This paper puts forth two new closure models for the proper orthogonal decomposition reduced-order modeling of structurally dominated turbulent flows: the dynamic subgrid-scale model and the variational multiscale model. These models, which are considered state-of-the-art in large eddy simulation, together with the mixing length and the Smagorinsky closure models, are tested in the numerical simulation of a 3D turbulent flow around a circular cylinder at Re = 1,000. Two criteria are used in judging the performance of the proper orthogonal decomposition reduced-order models: the kinetic energy spectrum and the time evolution of the POD coefficients. All the numerical results are benchmarked against a direct numerical simulation. Based on these numerical results, we conclude that the dynamic subgrid-scale and the variational multiscale models perform best.