Advanced search
Start date
Betweenand
(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 C-2-continuous high-resolution upwind convection scheme

Full text
Author(s):
Correa, L. [1] ; Lima, G. A. B. [1] ; Candezano, M. A. C. ; Braun, M. P. S. [2] ; Oishi, C. M. [3] ; Navarro, H. A. [2] ; Ferreira, V. G. [1]
Total Authors: 7
Affiliation:
[1] Univ Sao Paulo, Dept Matemat Aplicada & Estat, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Dept Engn Mecan, Escola Engn Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Estadual Paulista Julio de Mesquita Filho UN, Dept Matemat & Comp, Presidente Prudente, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: International Journal for Numerical Methods in Fluids; v. 72, n. 12, p. 1263-1285, AUG 30 2013.
Web of Science Citations: 0
Abstract

A bounded upwinding scheme for numerical solution of hyperbolic conservation laws and Navier-Stokes equations is presented. The scheme is based on convection boundedness criterion and total variation diminishing stability criteria and developed by employing continuously differentiable functions. The accuracy of the scheme is verified by assessing the error and observed convergence rate on 1-D benchmark test cases. A comparative study between the new scheme and conventional total variation diminishing/convection boundedness criterion-based upwind schemes to solve standard nonlinear hyperbolic conservation laws is also accomplished. The scheme is then examined in the simulation of Newtonian and non-Newtonian fluid flows of increasing complexity; a satisfactory agreement has been observed in terms of the overall behavior. Finally, the scheme is used to study the hydrodynamics of a gas-solid flow in a bubbling fluidized bed. Copyright (c) 2013 John Wiley \& Sons, Ltd. (AU)

FAPESP's process: 10/19769-4 - Study of the dynamic in gas-solid systems by numerical simulation using particle and finite volume approaches
Grantee:Helio Aparecido Navarro
Support type: Regular Research Grants
FAPESP's process: 12/03468-0 - Study of the dynamic in granular systems by numerical simulation using particle and finite volume approaches
Grantee:Helio Aparecido Navarro
Support type: Scholarships abroad - Research
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: 10/16865-2 - Large eddy simulation of the turbulent incompressible flows involving moving free surfaces
Grantee:Laís Corrêa
Support type: Scholarships in Brazil - 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