Accurate discretization of gradients on non-uniform curvilinear staggered grids
نویسندگان
چکیده
It is shown how to discretize the pressure gradient in the Navier{ Stokes equations on an arbitrary non-uniform curvilinear staggered grid, such that the error is zero for constant pressure gradient. A theoretical foundation is given for a discretization proposed in 2] on empirical grounds. A quite similar approach is used to discretize a diffusion equation with strongly discontinuous diiusion coeecient, such that the error is zero on a general grid for constant ux.
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