Eliminating the residual velocity divergence of spectral methods in channel turbulence
by Zehao Chen; Le Fang
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 24, No. 3, 2024

Abstract: The problem of residual velocity divergence exists in numerical simulations of channel flows which use spectral methods. The present contribution analyses the source of the residual velocity divergence, and introduce a new correction method by adding a new pressure correction substep and using ghost grids. The new method can completely eliminate the residual velocity divergence without breaking the non-slip condition. Numerical results show that the residual velocity divergence is well eliminated, while a-posteriori results are not becoming worse. We then conclude that the numerical simulations by using the present method are more close to the incompressible N-S equations, but the influence to a-posteriori statistical quantities is still worth to be investigated in the future.

Online publication date: Tue, 30-Apr-2024

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