KEUNTAE edited Introduction.tex  over 8 years ago

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\section{Introduction}\label{sec:intro}  Computing wall-bounded turbulent flow at high Reynolds number using direct numerical simulation (DNS) and large eddy simulation (LES) is prohibitively expensive due to their severe grid-resolution requirements near the wall.\cite{Chap79,Choi12} Thus, various techniques of wall-modeled LES (WMLES) with coarse-grid resolution near the wall have been suggested so far.\cite{Pio02,Pio08} WMLES methodologies may be classified into three categories: non-zonal and zonal hybrid RANS/LES methods, and LES with wall shear stress model, where RANS denotes the Reynolds-averaged Navier-Stokes equation. A similar categorization was made by Piomelli.\cite{Pio08}  An example of the non-zonal hybrid RANS/LES approach is the detached eddy simulation (DES).\cite{Spalart97,Spalart09} A single turbulence model is adopted in DES and it acts as both RANS and LES closure models for the near-wall and detached regions, respectively, by adjusting the wall distance function. The use of single grid and single turbulence model is a valuable feature for its easy implementation to turbulent flow over various complex geometries.\cite{Forsythe04,Guilmineau11} In DES, the no-slip boundary condition is used at the wall and first off-wall grids should be located at $y^+ = O(1)$, where $y^+ = y u_{\tau}/\nu$, $y$ is the wall-normal direction from the wall, $u_{\tau}$ is the wall shear velocity, and $\nu$ is the kinematic viscosity.