ANALYSIS OF COMMUTATION ERROR IN LARGE EDDY SIMULATION

للكاتبين

A. Ezzat1, H. M. El-Badry2, M. M. Nour El-Din2

Physics and Mathematics Dept. – Faculty of Engineering – Ain Shams University

 Irrigation and Hydraulics Dept. – Faculty of Engineering – Ain Shams University

ABSTRACT

The large eddy simulation (LES) approach is considered as a successful well-known approach

for solving turbulent flow motion. This approach depends on using a spatial mathematical

filtering operation of the governing differential flow equations. For the case of using nonuniform

filter width, a mathematical error appears in the resulting equations; this error is

called the commutation error.A procedure for calculating the commutation error of the

filtering and the differentiation operations is developed based on Fourier transformation. This

developed procedure is used to define the main factors affecting the control of the

commutation error.

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