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.
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© 2004 Springer-Verlag Berlin Heidelberg
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John, V. (2004). The Space Averaged Navier-Stokes Equations and the Commutation Error. In: Large Eddy Simulation of Turbulent Incompressible Flows. Lecture Notes in Computational Science and Engineering, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18682-0_3
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DOI: https://doi.org/10.1007/978-3-642-18682-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40643-3
Online ISBN: 978-3-642-18682-0
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