Simulation results and applications of an advection bounded scheme to practical flows

Author(s)

Valdemir G Ferreira ^[1] ; Rafael A.B de Queiroz ^[1] ; Miguel A. Caro Candezano ^[1] ; Giseli A.B Lima ^[1] ; Laís Corrêa ^[5] ; Cassio M Oishi ^[3] ; Fernando L.P Santos ^[4]

Affiliation

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Sao Carlos, SP - Brazil

^[2] USP. Departamento de Matemática Aplicada e Estatística Instituto de Ciências Matemáticas e de Computação - Brasil

^[3] Univ Estadual Julio Mesquita Filho UNESP, Dept Matemat Comp, Presidente Prudente, SP - Brazil

^[4] UNESP, Inst Biociencias Botucatu, Dept Bioestat, Botucatu, SP - Brazil

• Document type: Journal article
• Source: COMPUTATIONAL & APPLIED MATHEMATICS; v. 31, n. 3, p. 591-616, 2012-00-00.

Abstract

This paper reports experiments on the use of a recently introduced advection bounded upwinding scheme, namely TOPUS (Computers & Fluids 57 (2012) 208-224), for flows of practical interest. The numerical results are compared against analytical, numerical and experimental data and show good agreement with them. It is concluded that the TOPUS scheme is a competent, powerful and generic scheme for complex flow phenomena. Mathematical subject classification: Primary: 06B10; Secondary: 06D05. (AU)

• FAPESP's process: 10/16865-2 - Large eddy simulation of the turbulent incompressible flows involving moving free surfaces
• Grantee: Laís Corrêa
• Support Opportunities: 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 Opportunities: Research Grants - Young Investigators Grants
• FAPESP's process: 09/16954-8 - Computational simulation of turbulent non Newtonian fluids with free surfaces
• Grantee: Giseli Aparecida Braz de Lima
• Support Opportunities: Scholarships in Brazil - Doctorate