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The Space Averaged Navier-Stokes Equations and the Commutation Error

  • Volker John
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 34)

Abstract

To compute the space averaged velocity ū and pressure p̄, equations for these quantities are needed. These equations have to be derived from the governing equations for u and p̄, i.e. from the Navier-Stokes equations. The simple approach consists in applying the filter which defines (ū, p̄) also to the Navier-Stokes equations. Then, under the assumption that differentiation and filtering commute, the basic equations of LES, the space averaged Navier-Stokes equations, are obtained. However, it turns out that an additional modelling step is necessary to derive equations for (ū, p̄) from the space averaged Navier-Stokes equations. This modelling step is discussed in Chapter 4.

Keywords

Bounded Domain Large Eddy Simulation Strouhal Number Gaussian Filter Filter Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Volker John
    • 1
  1. 1.Institute of Analysis and Numerical Mathematics, Department of MathematicsOtto-von-Guericke-University MagdeburgMagdeburgGermany

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