A convergent and universally bounded interpolation scheme for the treatment of advection

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

Alves, MA (Autor) FEUP; Oliveira, PJ (Autor) Outra; Pinho, FT (Autor) FEUP

Revista

Título: International Journal for Numerical Methods in Fluids

Vol. 41 Nº 1

Páginas: 47-75

ISSN: 0271-2091

Editora: Wiley-Blackwell

Indexação

ISI Web of Knowledge - 199 Citações

ISI Web of Science

Scopus - 252 Citações

COMPENDEX

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

Outras Informações

ID Authenticus: P-000-J1Q

DOI: 10.1002/fld.428

Abstract (EN): A high resolution scheme with improved iterative convergence properties was devised by incorporating total-variation diminishing constraints, appropriate for unsteady problems, into an implicit time-marching method used for steady flow problems. The new scheme, referred to as Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection (CUBISTA), has similar accuracy to the well-known SMART scheme, both being formally third-order accurate on uniform meshes for smooth flows. Three demonstration problems are considered: (1) advection of three scalar profiles, a step, a sine-squared, and a semi-ellipse; (2) Newtonian flow over a backward-facing step and (3) viscoelastic flow through a planar contraction and around a cylinder. For the case of the viscoelastic flows, in which the high resolution schemes are also used to represent the advective terms in the constitutive equation, it is shown that only the new scheme is able to provide a converged solution to the prescribed tolerance. Copyright (C) 2003 John Wiley Sons, Ltd.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 29