DNS study of drag-reducing flow by additives using the artificial diffusion finite difference method Online publication date: Tue, 19-Aug-2003
by B. Yu, Y. Kawaguchi
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 2, No. 2/3/4, 2002
Abstract: Direct numerical simulation (DNS), including Non-Newtonian constitutive equations, of a fully developed turbulent channel flow of a dilute additive solution has been carried out. A finite difference scheme is used to discretise the momentum equations and the rheological constitutive equations. A second-order difference scheme is used for the space discretisation. The Adams–Bashforth scheme is used for time marching for both the convective term and the diffusion term. In order to avoid numerical instability, a second order upwind scheme is used to approximate the convective term in the constitutive equation and an artificial term is introduced to damp the oscillation. The computation has been executed for 64 x 64 x 64 meshes. Various turbulence statistics, such as turbulence intensities, vorticity fluctuation and Reynolds stresses are obtained and compared with those of Newtonian fluid.
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