Analysis and convergence of the MAC scheme. Part 1: The linear problem
Abstract
The MAC discretization of fluid flow is analyzed for the stationary Stokes equations. It is proved that the discrete approximations do in fact converge to the exact solutions of the flow equations. Estimates using mesh dependent norms analogous to the standard H(sup 1) and L(sup 2) norms are given for the velocity and pressure, respectively.
 Publication:

Final Report Institute for Computer Applications in Science and Engineering
 Pub Date:
 March 1991
 Bibcode:
 1991icas.rept.....N
 Keywords:

 Computational Fluid Dynamics;
 Computational Grids;
 Fluid Flow;
 NavierStokes Equation;
 Numerical Analysis;
 Boundary Conditions;
 Cartesian Coordinates;
 Convergence;
 Fluid Mechanics;
 Norms;
 Fluid Mechanics and Heat Transfer