Xie, X.; Bao, F.; Webster, C.G. Evolve Filter Stabilization Reduced-Order Model for Stochastic Burgers Equation. Fluids2018, 3, 84.
Xie, X.; Bao, F.; Webster, C.G. Evolve Filter Stabilization Reduced-Order Model for Stochastic Burgers Equation. Fluids 2018, 3, 84.
In this paper, we introduce the evolve-then-filter (EF) regularization method for reduced order modeling of convection-dominated stochastic systems. The standard Galerkin projection reduced order model (G-ROM) yield numerical oscillations in a convection-dominated regime. The evolve-then-filter reduced order model (EF-ROM) aims at the numerical stabilization of the standard G-ROM, which uses explicit ROM spatial filter to regularize various terms in the reduced order model (ROM). Our numerical results based on a stochastic Burgers equation with linear multiplicative noise. It shows that the EF-ROM is significantly better results than G-ROM.
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