Analysis and convergence of the MAC scheme. II. Navier-Stokes equations

  title={Analysis and convergence of the MAC scheme. II. Navier-Stokes equations},
  author={Roy A. Nicolaides and Xin Wu},
  journal={Math. Comput.},
The MAC discretization scheme for the incompressible NavierStokes equations is interpreted as a covolume approximation to the equations. Using some results from earlier papers dealing with covolume error estimates for div-curl equation systems, and under certain conditions on the data and the solutions of the Navier-Stokes equations, we obtain first-order error estimates for both the vorticity and the pressure. 

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