2021
DOI: 10.1002/fld.4964
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A time averaged steady state method for the Navier–Stokes equations

Abstract: This work derives an incompressible variational multiscales time-averagedNavier-Stokes (NS) formulation that aims at obtaining accurate steady state solutions. Rather than using the standard time instantaneous velocity and pressure, the new formulation devises a time averaging procedure based on rewriting and solving the NS equations in terms of the newly defined time-averaged velocity and pressure. Hence, the method could be understood as a convenient change of variable so that the problem is rewritten direct… Show more

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“…The low Reynolds number approximation is also used, because in these scenarios, the Reynolds number is typically below 0.1. For an incompressible, Newtonian fluid with a low Reynolds number, the steady-state Navier-Stokes equation is [24,25]:…”
Section: Acet Theory and Relevant Equationsmentioning
confidence: 99%
“…The low Reynolds number approximation is also used, because in these scenarios, the Reynolds number is typically below 0.1. For an incompressible, Newtonian fluid with a low Reynolds number, the steady-state Navier-Stokes equation is [24,25]:…”
Section: Acet Theory and Relevant Equationsmentioning
confidence: 99%