83 citations · 97 across the 6 of their papers we have counts for
8 papers
Hybrid ROM-PINN Framework for Closure Modeling in Convection-Dominated Systems
Ferhat Kaya, Birgul Koc, Atakan Aygun +2
Reduced-order models (ROMs) have become an essential tool for reducing the computational cost of fluid flow simulations. While standard ROMs can efficiently approximate laminar flo…
Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems
Birgul Koc, Samuele Rubino, Tomás Chaón Rebollo +1
In this paper, we investigate the modeling of sub-scale components of proper orthogonal decomposition reduced order models (POD-ROMs) of convection-dominated flows. We propose ROM…
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
Birgul Koc, Tomás Chacón Rebollo, Samuele Rubino
In this paper, we prove uniform error bounds for proper orthogonal decomposition (POD) reduced order modeling (ROM) of Burgers equation, considering difference quotients (DQs), int…
Verifiability of the Data-Driven Variational Multiscale Reduced Order Model
Birgul Koc, Changhong Mou, Honghu Liu +3
In this paper, we focus on the mathematical foundations of reduced order model (ROM) closures. First, we extend the verifiability concept from large eddy simulation to the ROM sett…
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
Birgul Koc, Samuele Rubino, Michael Schneier +2
In this paper, we resolve several long standing issues dealing with optimal pointwise in time error bounds for proper orthogonal decomposition (POD) reduced order modeling of the h…
Data-Driven Variational Multiscale Reduced Order Models
Changhong Mou, Birgul Koc, Omer San +2
We propose a new data-driven reduced order model (ROM) framework that centers around the hierarchical structure of the variational multiscale (VMS) methodology and utilizes data to…
Long-Time Reynolds Averaging of Reduced Order Models for Fluid Flows: Preliminary Results
Luigi C. Berselli, Traian Iliescu, Birgul Koc +1
We perform a theoretical and numerical investigation of the time-average of energy exchange among modes of Reduced Order Models (ROMs) of fluid flows. We are interested in the stat…
Commutation Error in Reduced Order Modeling of Fluid Flows
Birgul Koc, Muhammad Mohebujjaman, Changhong Mou +1
For reduced order models (ROMs) of fluid flows, we investigate theoretically and computationally whether differentiation and ROM spatial filtering commute, i.e., whether the commut…