In this chapter we present stabilized reduced basis (RB) models for convection-dominated problems. We start by defining a stabilized RB model for the advection-diffusion equation. In this problem, the instabilities appear when the Péclet number is higher than one. Different stabilization procedures are well known for the finite element (FE) problem [477], and we extend it for the RB framework, following the work performed by Pacciarini and Rozza in [433].
Chapter 6: Reduced Basis Stabilization for Convection-Dominated Problems / Delgado Avila, Enrique; Ballarin, Francesco; Rozza, Gianluigi. - (2022), pp. 125-139. [10.1137/1.9781611977257.ch6]
Chapter 6: Reduced Basis Stabilization for Convection-Dominated Problems
Delgado Avila, Enrique;Ballarin, Francesco;Rozza, Gianluigi
2022-01-01
Abstract
In this chapter we present stabilized reduced basis (RB) models for convection-dominated problems. We start by defining a stabilized RB model for the advection-diffusion equation. In this problem, the instabilities appear when the Péclet number is higher than one. Different stabilization procedures are well known for the finite element (FE) problem [477], and we extend it for the RB framework, following the work performed by Pacciarini and Rozza in [433].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
