part1b - SOME COMMENTS ON MODELING FLUID FLOW 16.540 Notes...

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1 SOME COMMENTS ON MODELING FLUID FLOW 16.540 Notes Spring 2006 E. Greitzer, C. Tan
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2 MESSAGES In problems of technological interest, there are often many levels of approach possible There are also many levels of data that can be examined Not all the data is useful information Want to focus on those aspects that are critical to some output that we want We can capture many features of complex fluid flows computationally These high fidelity models often give more data than is needed or sometimes more than we can understand Simpler (“reduced order methods”) extremely useful in extracting key points, communication, application to multidisciplinary problems (e.g, fluids, control, structures) This course has a focus on physical insight into fluid flow and interpretation of analysis and computation The course is also about being able to decide what is the level at which you need to approach a complex technological problem
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3 A PERSPECTIVE ON 16.540 From one perspective, this subject is about modeling complex flows It is thus focused not only on tools, but on methodology for developing physical insight The initial lecture addresses the concepts that underpin the modeling process What do we (Greitzer, Tan) mean by a model ? Why does one want to model , rather than compute ? What are some examples of success? What flavor does this take? How does one go about developing models? What are some guidelines for proceeding?
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4 EVOLUTION OF ENGINEERING COMPUTATION METHODS A number of ideas we discuss were originally developed for computing internal flows (e.g. Secondary Flow Theory, 1-D Flow) These were "the" computational methods, but in this role they have been superseded As conceptual frameworks for viewing complex flows, they have not As rapid, qualitative guidelines for what is happening, as well as for insight into why it happens, they have not As a valuable aid in interpreting three-dimensional, unsteady flow computations they have assumed a new role ; this is the context in which we view them During the course, we will: Bring model results into comparison with computations Show linkage and benefits of applying both sets of tools to problems of high technological interest.
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5 SOME COMMENTS ON MODELING "The art of model building is the exclusion of real but irrelevant parts of the problem, and entails hazards for the builder and reader. The builder may leave out something genuinely relevant; the reader armed with too sophisticated an experimental probe or too accurate a computation, may take literally a schematized model whose main aim is to be a demonstration of possibility. Very often such a simplified model throws more light on the real workings of nature than any number of "ab initio" calculations of individual situations, which even where correct often contain so much detail as to conceal rather than reveal reality. It can be a disadvantage rather than an advantage to be able to compute or to
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part1b - SOME COMMENTS ON MODELING FLUID FLOW 16.540 Notes...

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