Yousef Ghaffari Motlagh and Hyung Taek Ahn*
The Journal of Mechanical Science and Technology, vol. 26, no. 2, pp.447-454, 2012

Abstract : We present a residual-based isogeometric variational multiscale method to solve laminar and turbulent channel flow. Residual-based variational multiscale method is a new finite element formulation for solving turbulent flows using a large-eddy simulation type modeling. Isogeometric analysis, a new finite element method using CAD blending functions as its basis functions, is employed for higher order approximation of the solution. First, laminar flow with Re 0.55 τ = through flat channel is considered and linear, quadratic and cubic basis functions, which are C0, C1, and C2 -continuous across element boundaries, respectively are employed and their accuracy is presented by the comparison with analytical result. Next, same methodology is applied to the turbulent channel flow with Re 180 τ = . Current results are validated by the comparison of turbulence statistics using available DNS data.

Keyword : Variational multisacle; Isogeomertic analysis; NURBS; Incompressible Navier-Stokes equations; Turbulent flow