# LARGE EDDY SIMULATION OF TURBULENT CHANNEL FLOW USING ALGEBRAIC WALL MODEL

• MALLIK, MUHAMMAD SAIFUL ISLAM (DEPARTMENT OF MATHEMATICS, SHAHJALAL UNIVERSITY OF SCIENCE & TECHNOLOGY) ;
• UDDIN, MD. ASHRAF (DEPARTMENT OF MATHEMATICS, SHAHJALAL UNIVERSITY OF SCIENCE & TECHNOLOGY)
• Received : 2015.12.21
• Accepted : 2016.03.03
• Published : 2016.03.25

#### Abstract

A large eddy simulation (LES) of a turbulent channel flow is performed by using the third order low-storage Runge-Kutta method in time and second order finite difference formulation in space with staggered grid at a Reynolds number, $Re_{\tau}=590$ based on the channel half width, ${\delta}$ and wall shear velocity, $u_{\tau}$. To reduce the calculation cost of LES, algebraic wall model (AWM) is applied to approximate the near-wall region. The computation is performed in a domain of $2{\pi}{\delta}{\times}2{\delta}{\times}{\pi}{\delta}$ with $32{\times}20{\times}32$ grid points. Standard Smagorinsky model is used for subgrid-scale (SGS) modeling. Essential turbulence statistics of the flow field are computed and compared with Direct Numerical Simulation (DNS) data and LES data using no wall model. Agreements as well as discrepancies are discussed. The flow structures in the computed flow field have also been discussed and compared with LES data using no wall model.

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