Métodos de Diferenças Finitas de Direções Alternadas Implícitos para Modelagem de ´ Aguas Subterrâneas

Authors

  • M.R. Corrêa
  • A.F.D. Loula
  • E.L.M. Garcia

DOI:

https://doi.org/10.5540/tema.2004.05.01.0065

Abstract

Neste trabalho, são apresentados Métodos de Diferenças Finitas de Direções Alternadas (ADI) aplicados ao problema de escoamento de substâncias miscíveis em meios porosos com fontes singulares. Uma técnica de remoção de singularidades é apresentada como opção para a recuperação das taxas de convergência quadráticas típicas de problemas regulares. Resultados numéricos são apresentados comprovando as taxas de convergência preditas para a aproximação da pressão e ilustrando a aplicação da metodologia proposta na simulação do transporte de poluentes.

References

[1] A.F.D Loula, E.L.M. Garcia e A.L.G.A. Coutinho, Miscible displacement simulation by finite element methods in distributed memory machines, Computer Methods in Applied Mechanics and Engineering, 174 (1999), 339-354.

S.M.C. Malta, A.F.D Loula e E.L.M. Garcia, Numerical analysis of a stabilized finite element method for tracer injection simulations, Computer Methods in Applied Mechanics and Engineering, 187 (2000), 119-136.

J. Douglas Jr., R.E. Ewing e M.F. Wheeler, The Approximation of the Pressure by a Mixed Method in the Simulation of Miscible Displacement, RAIRO Analyse numérique/Numerical Analysis, 17 (1983), 17-33.

A.R. Mitchell e D.F. Griffiths,“Finite Difference Method in Partial Differential Equations”, John Wiley & Sons, New York, 1980.

J.C. Strikwerda, “Finite Difference Schemes and Partial Differential Equations”, Wadsworth & Brooks/Cole Mathematics Series, California, 1989.

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Published

2004-06-01

How to Cite

Corrêa, M., Loula, A., & Garcia, E. (2004). Métodos de Diferenças Finitas de Direções Alternadas Implícitos para Modelagem de ´ Aguas Subterrâneas. Trends in Computational and Applied Mathematics, 5(1), 65–76. https://doi.org/10.5540/tema.2004.05.01.0065

Issue

Vol. 5 No. 1 (2004)

Section

Original Article

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