A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes (Articolo in rivista)

Type
Label
  • A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1142/S0218202504003611 (literal)
Alternative label
  • Bertolazzi E., Manzini G. (2004)
    A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes
    in Mathematical models and methods in applied sciences; World Scientific Publ. Co., Singapore (Singapore)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bertolazzi E., Manzini G. (literal)
Pagina inizio
  • 1235 (literal)
Pagina fine
  • 1260 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 14 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 8 (literal)
Note
  • Scopus (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Bertolazzi E., Dipartimento di Ingegneria Meccanica e Strutturale, Università di Trento, via Mesiano 77, 38100 Trento, Italy Manzini G., Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, via Ferrata 1, 27100 Pavia, Italy (literal)
Titolo
  • A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes (literal)
Abstract
  • A MUSCL-like cell-centered finite volume method is proposed to approximate the solution of multi-dimensional steady advection-diffusion equations. The second-order accuracy is provided by an appropriate definition of the diffusive and advective numerical fluxes. The method is based on a least squares reconstruction of the vertex values from cell averages. The slope limiter, which is required to prevent the formation and growth of spurious numerical oscillations, is designed to guarantee that the discrete solution of the nonlinear scheme exists. Several theoretical issues regarding the solvability of the resulting discrete problems are thoroughly discussed. Finally, numerical experiments that validate the effectiveness of the approach axe presented. (literal)
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