A finite volume method for advection-diffusion problems in convection-dominated regimes (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• A finite volume method for advection-diffusion problems in convection-dominated regimes (Articolo in rivista) (literal)

Anno

• 2008-01-01T00:00:00+01:00 (literal)

Alternative label

• Manzini G., Russo A. (2008)
  A finite volume method for advection-diffusion problems in convection-dominated regimes
  in Computer methods in applied mechanics and engineering
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Manzini G., Russo A. (literal)

Pagina inizio

• 1242 (literal)

Pagina fine

• 1261 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 197 (literal)

Rivista

• Computer methods in applied mechanics and engineering (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 13-16 (literal)

Note

• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• IMATI-CNR Universita di Milano Bicocca, Milano (literal)

Titolo

• A finite volume method for advection-diffusion problems in convection-dominated regimes (literal)

Abstract

• We present a finite volume method for the numerical approximation of advection diffusion problems in convection-dominated regimes. The method works on unstructured grids formed by convex polygons of any shape and yields a piecewise linear approximation to the exact solution which is second-order accurate away from boundary and internal layers. Basically, we define a constant approximation of the solution gradient in every mesh cell which is expressed by using the cell averages of the solution within the adjacent cells. A careful design of the reconstruction algorithm for cell gradients and the introduction in the discrete formulation of a special non-linear term, which plays the role of the artificial diffusion, allows the method to achieve shock-capturing capability. We emphasize that no slope limiters are required by this approach. Optimal convergence rates, as theoretically expected, and non-oscillatory behavior close to layers are confirmed by numerical experiments. (literal)

Prodotto di

• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)
• Metodi numerici avanzati per la meccanica dei fluidi (TA.P04.005.003) (Modulo)

Autore CNR

• GIANMARCO MANZINI (Persona)
• ALESSANDRO RUSSO (Persona)

Incoming links:

Prodotto

• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)
• Metodi numerici avanzati per la meccanica dei fluidi (TA.P04.005.003) (Modulo)

Autore CNR di

• GIANMARCO MANZINI (Persona)
• ALESSANDRO RUSSO (Persona)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Computer methods in applied mechanics and engineering (Rivista)