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].
2022
Advanced Reduced Order Methods and Applications in Computational Fluid Dynamics
125
139
Delgado Avila, Enrique; Ballarin, Francesco; Rozza, Gianluigi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/145011
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