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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A bounded upwinding scheme for computing convection-dominated transport problems

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Author(s):
Ferreira, V. G. [1] ; de Queiroz, R. A. B. [1] ; Lima, G. A. B. [1] ; Cuenca, R. G. [1] ; Oishi, C. M. [2] ; Azevedo, J. L. F. [3] ; McKee, S. [4]
Total Authors: 7
Affiliation:
[1] Inst Ciencias Matemat & Comp USP, Dept Matemat Aplicada & Estat, Sao Carlos, SP - Brazil
[2] Univ Estadual Julio de Mesquita Filho UNESP, Dept Matemat, Presidente Prudente, SP - Brazil
[3] CTA IAE ALA, Inst Aeronaut & Espaco, Sao Jose Dos Campos, SP - Brazil
[4] Univ Strathclyde, Dept Math & Stat, Glasgow, Lanark - Scotland
Total Affiliations: 4
Document type: Journal article
Source: COMPUTERS & FLUIDS; v. 57, p. 208-224, MAR 30 2012.
Web of Science Citations: 16
Abstract

A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving the 1D/2D scalar advection equations, 1D inviscid Burgers' equation, 1D scalar convection-diffusion equation, 1D/2D compressible Euler's equations, and 2D incompressible Navier-Stokes equations. The numerical results displayed good agreement with other existing numerical and experimental data. (C) 2012 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 09/16954-8 - Computational simulation of turbulent non Newtonian fluids with free surfaces
Grantee:Giseli Aparecida Braz de Lima
Support type: Scholarships in Brazil - Doctorate
FAPESP's process: 04/16064-9 - Mechanics of non-stationary fluids: applications in aeronautics and rheology
Grantee:José Alberto Cuminato
Support type: Research Projects - Thematic Grants
FAPESP's process: 08/02673-4 - Improvements in the accuracy and stability of numerical method for free surface flows: development, parallel programming and applications
Grantee:Cassio Machiaveli Oishi
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 09/15892-9 - Study of stable and accurate numerical methods for transient flows: improvements, implementations, free surface flow problems and viscoelastic models
Grantee:Cassio Machiaveli Oishi
Support type: Research Grants - Young Investigators Grants