Journal ArticleEvolve Filter Stabilization Reduced-Order Model for Stochastic Burgers EquationXie, Xuping; Bao, Feng; Webster, ClaytonIn 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 are based on a stochastic Burgers equation with linear multiplicative noise. The numerical result shows that the EF-ROM is significantly better than G-ROM.2018-12-0110105674Fluids34842311-5521https://doi.org/10.3390/fluids30400841720222National Science Foundation