LES Analysis on the Impact of Mass Conservation Uncertainty on the Static Pressure Fluctuation in Spatially Periodic Steady Turbulence

This study investigates the effect of mass-conserving uncertainty on the static pressure fluctuation characteristics in incompressible isotropic steady turbulence. The mass conservation uncertainty can be produced by relaxing the convergence of the Poisson equation solved in the fractional stages. This mass-conserving uncertainty may often be found acceptable in fluid analysis. In incompressible flows, the mass conservation uncertainty is quantified as the spatial variation RMS of the velocity divergence. The analysis is analyzed as a large-eddy simulation, and the SGS components are modelled using the Smagorinsky and coherent structure models. First, the steady-state turbulence generated in the case without mass-conserving uncertainty is tested to be independent of the differences between these SGS models. Then the spatial fluctuation RMS of the velocity divergence is validated to be significant.