http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31251
Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations (Articolo in rivista)
- Type
- Label
- Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations (Articolo in rivista) (literal)
- Anno
- 2007-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.jcp.2006.05.026 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Manzini G., Putti M. (literal)
- Pagina inizio
- Pagina fine
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- Note
- ISI Web of Science (WOS) (literal)
- Scopus (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Manzini G., Istituto di Matematica Applicata e Tecnologie Informatiche, C.N.R., via Ferrata 1, I - 27100 Pavia, Italy
Putti M., Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universita` degli Studi di Padova, via Belzoni 7,
I - 35131 Padova, Italy (literal)
- Titolo
- Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations (literal)
- Abstract
- Strongly anisotropic diffusion equations require special techniques to overcome or reduce the mesh locking phenomenon.
We present a finite volume scheme that tries to approximate with the best possible accuracy the quantities that are of
importance in discretizing anisotropic fluxes. In particular, we discuss the crucial role of accurate evaluations of the
tangential components of the gradient acting tangentially to the control volume boundaries, that are called into play by
anisotropic diffusion tensors. To obtain the sought characteristics from the proposed finite volume method, we employ
a second-order accurate reconstruction scheme which is used to evaluate both normal and tangential cell-interface gradients.
The experimental results on a number of different meshes show that the scheme maintains optimal convergence rates
in both L2 and H1 norms except for the benchmark test considering full Neumann boundary conditions on non-uniform
grids. In such a case, a severe locking effect is experienced and documented. However, within the range of practical values
of the anisotropy ratio, the scheme is robust and efficient. We postulate and verify experimentally the existence of a
quadratic relationship between the anisotropy ratio and the mesh size parameter that guarantees optimal and sub-optimal
convergence rates. (literal)
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- Autore CNR
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