TRIDIMENSIONAL FLOW SIMULATION WITH FINITE ELEMENTS STABILIZED BY CBS SCHEME

Authors

  • Gustavo Aparecido Pita Baggio Universidade Estadual Paulista - UNESP
  • João Batista Campos Silva

DOI:

https://doi.org/10.26512/ripe.v2i34.21815

Keywords:

Steady flow. Finite elements. Artificial compressibility. CBS.

Abstract

This paper presents computational results of incompressible steady flows simulations by solving the Navier-Stokes equations using a finite element method combined with the characteristic based split scheme (CBS). The classical finite element method called Bubnov-Galerkin or Galerkin Method (FEM) is considered the best method for solving purely diffusion problems, however, in case of problems with convection dominant as in many problems of fluid flows, the FEM produces oscillating solutions for high Reynolds numbers. The main goal of this work is to highlight the simulation method and the results of some common tridimensional problems used for code validation and verification. The results show great agreement with literature.

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References

Baggio, G. A. P. 2015. Solução das Equações de Navier-Stokes e da Equação de Transporte por um Método de Elementos Finitos Estabilizado pela Técnica de Separação Baseada na Característica (CBS). Dissertação (Mestrado) ”“ Universidade Estadual Paulista, Faculdade de Engenharia de Ilha Solteira, São Paulo, Brasil.

Campregher, R., Militzer, J., Mansur, S. S., Silveira Neto, A. 2009. Computations of the Flow Past a Still Sphere at Moderate Reynolds Numbers Using na Immersed Boundary Method. Journal of the Brazilian Society of Mechanics Science & Engineering. Vol. 31, nº4, pp 344- 352.

Le Clair, B. P., Hamielec A. E., Pruppacher H. R. 1970. A Numerical Study of the Drag on a Sphere at Low and Intermediate Reynolds Numbers. Journal of the Atmospheric Sciences, vol. 27, pp. 308-315.

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Liu, C.B. 2005. The Characteristic Based Split (CBS) scheme for laminar and turbulent incompressible flow simulations, Thesis, Civil and Computational Engineering Centre, School of Engineering, University of Wales Swansea, Swansea, UK.

Nithiarasu, P., Codina, R., Zienkiewicz, O. C. 2005. The Characteristic Based Split (CBS) Scheme - a unified approach to fluid dynamics. International Journal for Numerical Methods in Engineering, Special issue.

Wong, K. L., Baker, A, J. A. 2002. 3D incompressible Navier”“Stokes velocity”“vorticity weak form finite element algorithm. International Journal for Numerical Methods in Fluids, v. 38, p. 99-123.

Zienkiewicz O. C., Nithiarasu, P., Codina, R., Vazquez, M., Ortiz, P. 1999. The characteristic-based-split procedure: an efficient and accurate algorithm for fluid problems. International Journal for Numerical Methods in Fluids; 31(1):359-396.

Zienkiewicz, O. C, Taylor, R. L, Nithiarasu, P. 2014. The Finite Element Method vol. 3 Fluid Dynamics, 7th edition. Butterworth and Heinemann, Oxford, 334 p.

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Published

2017-08-07

How to Cite

Pita Baggio, G. A., & Silva, J. B. C. (2017). TRIDIMENSIONAL FLOW SIMULATION WITH FINITE ELEMENTS STABILIZED BY CBS SCHEME. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(34), 125–138. https://doi.org/10.26512/ripe.v2i34.21815

Issue

Vol. 2 No. 34 (2016): FINITE ELEMENTS METHODS FORMULATIONS AND NUMERICAL ANALYSIS

Section

Artigos

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