Two-Dimensional Transient Finite Volume Difusional Approach to Transport Equations

Authors

  • A.S. da CUNHA
  • W.R. FERREIRA

DOI:

https://doi.org/10.5540/tema.2002.03.01.0091

Abstract

This paper aims at presenting the Diusional Method coupled with the Finite Volume scheme as an alternative approach for solving convection-diusion equations, which under high Peclet numbers may congure a hard numerical task. It is also intended to test the proposed methodology for a case where analytical solution is known and for another one characterized by a high gradient prole. For the last case, results show that false diusion eects are present. Comparisons of the Diusional Method with other numerical schemes are also presented.

References

[1] M. Fortes and W.R. Ferreira, Finite volume approach to transport equations by the diusional method, in Annals of the third SIMEC - Simposio de Mecânica Computacional", 1, pp. 443-452, 1999.

M. Fortes and W.R. Ferreira, The one dimensional transient diusional method: nite element solutions to convection-diusion problems, International Journal of Thermal Sciences, 38 (1999), 780-796.

M. Fortes, The diusional method for convection-diusion equations: nite el- ement one-dimensional solutions, Numerical Methods in Thermal Problems, 10 (1997), 57-68.

J.D. Homan, Numerical Methods for Engineers and Scientists", McGraw-Hill, New York, 1992.

S.V. Patankar, Numerical Heat Transfer and Fluid Flow", McGraw-Hill Book Co., NY, 1980.

J.N. Ready, An Introduction to the Finite Element Method", 2nd Edition, McGraw-Hill, 1993.

T.W.H. Sheu, S.F. Tsai, S.K. Wang, Monotonic, multidimensional ux discretization scheme for all Peclet numbers, Numerical Heat Transfer, 31 (1997), 441-457.

H.K. Versteeg and W. Malalasekera, An Introduction to Computational FluidDynamics - The Finite Volume Method", Longman Scientic and Technical, 1995.

O.C. Zienkiewicz and R.L Taylor, The Finite Element Method, Vol.2: Solid and Fluids Mechanics and Non-linearity", 4th ed., McGraw-Hill, London, 1991.

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Published

2002-06-01

How to Cite

da CUNHA, A., & FERREIRA, W. (2002). Two-Dimensional Transient Finite Volume Difusional Approach to Transport Equations. Trends in Computational and Applied Mathematics, 3(1), 91–100. https://doi.org/10.5540/tema.2002.03.01.0091

Issue

Vol. 3 No. 1 (2002)

Section

Original Article

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