DeepAI AI Chat
Log In Sign Up

Pressure Data-Driven Variational Multiscale Reduced Order Models

by   Anna Ivagnes, et al.

In this paper, we develop data-driven closure/correction terms to increase the pressure and velocity accuracy of reduced order models (ROMs) for fluid flows. Specifically, we propose the first pressure-based data-driven variational multiscale ROM, in which we use the available data to construct closure/correction terms for both the momentum equation and the continuity equation. Our numerical investigation of the two-dimensional flow past a circular cylinder at Re=50000 in the marginally-resolved regime shows that the novel pressure data-driven variational multiscale ROM yields significantly more accurate velocity and pressure approximations than the standard ROM and, more importantly, than the original data-driven variational multiscale ROM (i.e., without pressure components). In particular, our numerical results show that adding the closure/correction term in the momentum equation significantly improves both the velocity and the pressure approximations, whereas adding the closure/correction term in the continuity equation improves only the pressure approximation.


page 29

page 30


Verifiability of the Data-Driven Variational Multiscale Reduced Order Model

In this paper, we focus on the mathematical foundations of reduced order...

Hybrid Data-Driven Closure Strategies for Reduced Order Modeling

In this paper, we propose hybrid data-driven ROM closures for fluid flow...

Data-Driven Correction Reduced Order Models for the Quasi-Geostrophic Equations: A Numerical Investigation

This paper investigates the recently introduced data-driven correction r...

Reduced Order Model Closures: A Brief Tutorial

In this paper, we present a brief tutorial on reduced order model (ROM) ...

Neural Networks for Data-Based Turbulence Models

In this work, we present a novel, data-based approach to turbulence mode...

Pressure stabilization strategies for a LES filtering Reduced Order Model

We present a stabilized POD-Galerkin reduced order method (ROM) for a Le...