Computational evaluation of convection schemes in fluid dynamics problems

Computational evaluation of convection schemes in fluid dynamics problems

Authors

  • Valdemir Garcia Ferreira Universidade de São Paulo/ São Carlos
  • Giseli Aparecida Braz de Lima Universidade de São Paulo/ São Carlos
  • Laís Corrêa Universidade de São Paulo/ São Carlos
  • Miguel Antonio Caro Candezano Universidade de São Paulo/ São Carlos
  • Eliandro Rodrigues Cirilo Universidade Estadual de Londrina
  • Paulo Laerte Natti Universidade Estadual de Londrina
  • Neyva Maria Lopes Romeiro Universidade Estadual de Londrina

DOI:

https://doi.org/10.5433/1679-0375.2012v33n2p107

Keywords:

High resolution schemes, Numerical simulation, Convection terms, Conservation laws, Flow with free surfaces

Abstract

This article provides a computational evaluation of the popular high resolution upwind WACEB, CUBISTA and ADBQUICKEST schemes for solving non-linear fluid dynamics problems. By using the finite difference methodology, the schemes are analyzed and implemented in the context of normalized variables of Leonard. In order to access the performance of the schemes, Riemann problems for 1D Burgers, Euler and shallow water equations are considered. From the numerical results, the schemes are ranked according to their performance in solving these non-linear equations. The best scheme is then applied in the numerical simulation of tridimensional incompressible moving free surface flows.

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Published

2012-11-30

How to Cite

Ferreira, V. G., Lima, G. A. B. de, Corrêa, L., Candezano, M. A. C., Cirilo, E. R., Natti, P. L., & Romeiro, N. M. L. (2012). Computational evaluation of convection schemes in fluid dynamics problems. Semina: Ciências Exatas E Tecnológicas, 33(2), 107–116. https://doi.org/10.5433/1679-0375.2012v33n2p107

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Section

Original Article

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