18 citations · 26 across the 3 of their papers we have counts for
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physics.flu-dyn2017★ 8 cited
Data-Driven Filtered Reduced Order Modeling Of Fluid Flows
X. Xie, M. Mohebujjaman, L. G. Rebholz +1
We propose a data-driven filtered reduced order model (DDF-ROM) framework for the numerical simulation of fluid flows. The novel DDF-ROM framework consists of two steps: (i) In the…
physics.flu-dyn2017★ 18 cited
Regularized Reduced Order Models for a Stochastic Burgers Equation
Traian Iliescu, Honghu Liu, Xuping Xie
In this paper, we study the numerical stability of reduced order models for convection-dominated stochastic systems in a relatively simple setting: a stochastic Burgers equation wi…