Because the conservation form of the equations does a better job of conserving mass throughout the flow field, we can begin to understand why they are labeled the conservation form. (查看原文)
There is a subtle difference between the integral and differential forms of the governing flow equations which is best noted at this stage. The integral form of the equations allows for the presence of discontinuities inside the fixed control volume(fixed in space); there is no mathematical reason to assume otherwise. However, the differential form of the governing equations assumes the flow properties are differentiable, hense continuous. This is particulary evident when we use the devergence theorem to derive the differential form from the integral form--the divergence theorem assumes mathematical continuity. This is a strong argument for the integral form of the equations to be considered more fundermental than the differential form. This consideration becomes of particular importance w... (查看原文)
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