In the eyes of many a skeptical laboratory fluid dynamicist, computers are little more than random-number generators whose predictions should not be trusted until verified in the laboratory. Numerical simulation of hydrodynamics suffers a mixed reputation. Annual Review of Fluid Mechanics Annual Reviews In the second group, there are those who continually test and compare numerical schemes, In support of such simulations, there is often urgency in the gathering of data in order to meet some pressing practical problem.
First, there are those who simulate exceedingly complicated flows that push the state-of-the-art and the machines to their capacity (or perhaps beyond). There are at least three classes of numerical artists. It is in the latter spirit that we enter into this review. Nevertheless, there has been progress toward making simulation a science, and it is perhaps useful to stand back and judge the field as it is now and to indicate where it  As such, much depends on the skill of the artist. At this time, numerical simulation remains an art. On the other hand, many a computational fluid dynamicist gladly assumes that his reams of computer output are less susceptible to systematic error than the gadgets employed by the experimentalist. Numerical Simulation of Viscous Incompressible Flows Numerical Simulation of Viscous Incompressible Flows
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