We consider the virtual element discretization of the Navier Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the virtual element discretization of the coupled problem, show its well-posedness and prove optimal error estimates. Numerical experiments that confirm the theoretical error bounds are also presented.
Virtual element method for the Navier–Stokes equation coupled with the heat equation
Vacca, Giuseppe
;
2023-01-01
Abstract
We consider the virtual element discretization of the Navier Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the virtual element discretization of the coupled problem, show its well-posedness and prove optimal error estimates. Numerical experiments that confirm the theoretical error bounds are also presented.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2023-Antonietti_Vacca_Verani-IMAJNA.pdf
non disponibili
Descrizione: Version of Record
Tipologia:
Documento in Versione Editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
1.07 MB
Formato
Adobe PDF
|
1.07 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
VEM_Stokes_coupled.pdf
accesso aperto
Descrizione: Documento in Post-print
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
17.97 MB
Formato
Adobe PDF
|
17.97 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
