Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs

Francesco Ballarin, Davide Torlo, Gianluigi Rozza

Risultato della ricerca: Contributo in rivistaArticolo in rivista

7 Citazioni (Scopus)

Abstract

In this work, we propose viable and eficient strategies for stabilized parametrized advection dominated problems, with random inputs. In particular, we investigate the combination of the wRB (weighted reduced basis) method for stochastic parametrized problems with the stabilized RB (reduced basis) method, which is the integration of classical stabilization methods (streamline/upwind Petrov-Galerkin (SUPG) in our case) in the ofine-online structure of the RB method. Moreover, we introduce a reduction method that selectively enables online stabilization; this leads to a sensible reduction of computational costs, while keeping a very good accuracy with respect to high-fdelity solutions. We present numerical test cases to assess the performance of the proposed methods in steady and unsteady problems related to heat transfer phenomena.
Lingua originaleEnglish
pagine (da-a)1475-1502
Numero di pagine28
RivistaSIAM/ASA JOURNAL ON UNCERTAINTY QUANTIFICATION
Volume6
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • Advection dominated problems
  • Random inputs
  • Reduced basis methods
  • Stochastic parametrized advection-difusion equations
  • Uncertainty quantifcation

Fingerprint Entra nei temi di ricerca di 'Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs'. Insieme formano una fingerprint unica.

Cita questo