Certain rheological behaviors of fluids in engineering sciences are modeled by power law ansatz with p is an element of (1,2]. In the present paper a semi-implicit time discretization scheme for such fluids is proposed. The main result is the optimal O(k) error estimate, where k is the time step size. Our results hold in the range p is an element of (3/2, 2] ( in the three-dimensional setting) for strong solutions of the continuous problem, whose existence is guaranteed under appropriate assumptions on the data. The estimates are uniform with respect to the degeneracy parameter delta is an element of [0, delta_0] of the extra stress tensor. Additional regularity properties of the solution of the discrete problem are proved.

Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities

BERSELLI, LUIGI CARLO;
2009-01-01

Abstract

Certain rheological behaviors of fluids in engineering sciences are modeled by power law ansatz with p is an element of (1,2]. In the present paper a semi-implicit time discretization scheme for such fluids is proposed. The main result is the optimal O(k) error estimate, where k is the time step size. Our results hold in the range p is an element of (3/2, 2] ( in the three-dimensional setting) for strong solutions of the continuous problem, whose existence is guaranteed under appropriate assumptions on the data. The estimates are uniform with respect to the degeneracy parameter delta is an element of [0, delta_0] of the extra stress tensor. Additional regularity properties of the solution of the discrete problem are proved.
2009
Berselli, LUIGI CARLO; Diening, L; Ruzicka, M.
File in questo prodotto:
File Dimensione Formato  
Arpi 127135.pdf

solo utenti autorizzati

Tipologia: Versione finale editoriale
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 424.35 kB
Formato Adobe PDF
424.35 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/127135
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 8
social impact