Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height

Francesco Ballarin, Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol, Gianluigi Rozza

Risultato della ricerca: Contributo in rivistaArticolo in rivista

Abstract

In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are involved. We take into account in this problem both physical and geometrical parametrizations, considering the Rayleigh number as a parameter, so as the height of the cavity. We perform an Empirical Interpolation Method to approximate the sub-grid eddy viscosity term that lets us obtain an affine decomposition with respect to the parameters. We construct an a posteriori error estimator, based upon the Brezzi–Rappaz–Raviart theory, used in the greedy algorithm for the selection of the basis functions. Finally we present several numerical tests for different parameter configuration.
Lingua originaleEnglish
pagine (da-a)973-989
Numero di pagine17
RivistaCOMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume80
DOI
Stato di pubblicazionePubblicato - 2020

Keywords

  • Boussinesq equations
  • Empirical interpolation method
  • Reduced basis method
  • Smagorinsky LES model
  • a posteriori error estimation

Fingerprint

Entra nei temi di ricerca di 'Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height'. Insieme formano una fingerprint unica.

Cita questo