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> These methods are becoming rarer and rarer in fluid dynamics. Why are they becoming rarer is the question. Have all the tractable asymptotic problems been so

• btrettel 6y ago
  > Have all the tractable asymptotic problems been solved? Definitely not. I think it's more that these approaches are viewed as not necessary as numerical approximations (implemented on a computer) are more accurate, often easier, and allow one to consider complications that would be impossible to handle analytically. Though analytical methods do have major advantages. Computations are made only for special cases. You'll need a lot of computations to see functional dependencies clearly, for instance. If the computations are expensive (and they often are), people are unlikely to do the parametric studies needed to see functional dependencies clearly. Ultimately an analytical expression contains much more information than an array of numbers.