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A Compact Operator Method for the Omega Equation

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Numerical Treatment of Multiphase Flows in Porous Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 552))

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Abstract

The ageostrophic vertical velocity field for the mesoscale dynamics of the Alboran Sea is determined by means of synoptic data and numerical solution of the omega equation. For the stationary, horizontal geostrophic velocity field, a fourth-order, compact operator differentiation is used. The vertical ageostrophic flow is determined by means of a numerical solution of the omega equation with a Q vector formulation, solved by means of a fourth-order accurate, compact operator method. The numerical results confirm that on a macroscale, upward motion occurs upstream of the anticyclonic rotation while downward motion mesoscale takes place downstream.

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References

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© 2000 Springer-Verlag Berlin Heidelberg

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Villatoro, F.R., GarcÁ-Lafuente, J. (2000). A Compact Operator Method for the Omega Equation. In: Chen, Z., Ewing, R.E., Shi, ZC. (eds) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45467-5_30

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  • DOI: https://doi.org/10.1007/3-540-45467-5_30

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67566-2

  • Online ISBN: 978-3-540-45467-0

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