Characterization of subgrid-scale dynamics for a nonlinear beam

Authors:
A. Labryer;P. J. Attar;P. Vedula
Affiliations:
-;-;-
Venue:
Computers and Structures
Year:
2013

Citing 3
Cited 1

Optimal prediction for Hamiltonian partial differential equations

Journal of Computational Physics
Optimal spatiotemporal reduced order modeling, Part II: application to a nonlinear beam

Computational Mechanics
Optimal spatiotemporal reduced order modeling, Part I: proposed framework

Computational Mechanics

Optimal spatiotemporal reduced order modeling of the viscous Burgers equation

Finite Elements in Analysis and Design

Quantified Score

Hi-index	0.00

Visualization

Abstract

Numerical solutions for the response of a geometrically nonlinear beam are investigated within the context of a new data-driven reduced order modeling (ROM) framework called optimal spatiotemporal reduced order modeling (OPSTROM). This modeling framework, which can potentially improve the accuracy of under-resolved simulations, accounts for the interactions between resolved scales and unresolved scales through the construction of subgrid-scale models which are consistent with the underlying spatiotemporal statistical structure of the dynamical system. Through numerical simulation, certain correlations amongst subgrid-scale dynamical quantities are investigated in order to simplify model construction.