Abstract
The so-called conservative or flux form of the finite difference formulation of convection terms is shown to be inadequate for preventing nonlinear instability in some cases. A preferred scheme for the convection terms which has the property of absolute spatial conservation is obtained. Illustrative examples are given for (i) the Navier-Stokes equations; (ii) a forced convection equation; and (iii) a Burger's type equation.
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