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In fact, this is also true for discretizations of the NSE, which after being discretized generally loses the exact balances of most (if not all) of energy, momentum, angular momentum, helicity, and others. Keywords: Navier-Stokes equations; regularization model; conservation model; 76-10; 76D05 EN Navier-Stokes equations regularization model conservation model 76-10 76D05 1 22 22 03/11/22 20220301 NES 220301 1 Introduction The evolution of incompressible, viscous, Newtonian flow is determined by the Navier-Stokes equations (NSE), which are given by Graph HT ht (1.1) Graph HT ht (1.2) with I u i and I p i representing velocity and pressure, I f i an external force, I i the kinematic viscosity which is inversely proportional to the Reynolds number Re, and with appropriate boundary and initial conditions. [Extracted from the article] |
