Smooth interfaces for spectral element method for the solution of incompressible Newtonian fluid flow

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A smoothing technique is developed to calculate the interface conditions of spectral element method for solving the incompressible Newtonian fluid flow. The first derivative at the interface of spectral elements is calculated by using only the adjacent subdomains. Numerical simulations of an incompressible laminar fluid flow through a planar channel and a 2:1 planar contraction channel are presented for various Reynolds numbers.

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