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A multilevel method of nonlinear Galerkin type for the Navier-Stokes equations

Author

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  • Said El Hajji
  • Khalid Ilias

Abstract

The basic idea of this new method resides in the fact that the major part of the relative information to the solution to calculate is contained in the small modes of a development of Fourier series; the raised modes of which the coefficients associated being small, being negligible to every instant, however, the effect of these modes on a long interval of time is not negligible. The nonlinear Galerkin method proposes economical treatment of these modes that permits, in spite of a simplified calculation, taking into account their interaction correctly with the other modes. After the introduction of this method, we elaborate an efficient strategy for its implementation.

Suggested Citation

  • Said El Hajji & Khalid Ilias, 2005. "A multilevel method of nonlinear Galerkin type for the Navier-Stokes equations," Mathematical Problems in Engineering, Hindawi, vol. 2005, pages 1-23, January.
    • Handle: RePEc:hin:jnlmpe:412853
    DOI: 10.1155/MPE.2005.341
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