The MAC discretization scheme for the incompressible Navier-Stokes 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.
|Number of pages||16|
|Journal||Mathematics of Computation|
|Publication status||Published - Jan 1996|
Scopus Subject Areas
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics