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 Reτ 0.55 = 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 Rer = 180. Current results are validated by the comparison of turbulence statistics using available DNS data.

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