Numerical Approximation of Incompressible Navier-Stokes Equations Based on an Auxiliary Energy Variable

29 Apr 2018 Lin Lianlei Dong Suchuan

We present a numerical scheme for approximating the incompressible Navier-Stokes equations based on an auxiliary variable associated with the total system energy. By introducing a dynamic equation for the auxiliary variable and reformulating the Navier-Stokes equations into an equivalent system, the scheme satisfies a discrete energy stability property in terms of a modified energy and it allows for an efficient solution algorithm and implementation... (read more)

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