The aim of this work is to present and discuss in detail a conservative momentum flux formulation for the Navier–Stokes equations on staggered grids. The proposed method ensures strict momentum conservation across coarse fine grid interfaces by distributing fluxes in a physically consistent manner. Its performance is assessed through benchmark test cases, including the vortex dipole and the Blasius boundary layer. The results demonstrate that the scheme not only preserves global conservation properties but also improves the accuracy of near wall predictions compared to conventional interpolation methods. Careful validation highlights the dependence of the results on grid resolution and interpolation strategy. This work contributes to the development of robust conservative algorithms for direct numerical simulations of complex turbulent flows.     «

The aim of this work is to present and discuss in detail a conservative momentum flux formulation for the Navier–Stokes equations on staggered grids. The proposed method ensures strict momentum conservation across coarse fine grid interfaces by distributing fluxes in a physically consistent manner. Its performance is assessed through benchmark test cases, including the vortex dipole and the Blasius boundary layer. The results demonstrate that the scheme not only preserves global conservation pro...     »