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

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Manuel Moreira Alves (Author) FEUP; P. J. Oliveira (Author) Other; Fernando Tavares Pinho (Author) FEUP

Journal

Title: International Journal for Numerical Methods in Fluids

Vol. 41 No. 1

Pages: 47-75

ISSN: 0271-2091

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 199 Citations

ISI Web of Science

Scopus - 252 Citations

COMPENDEX

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 29