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btrettel
searching PlanetScale…
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123 ms
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1171.
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btrettel
9y ago
This book can be very useful when developing computational fluid dynamics softwares or even doing theoretical fluid dynamics work. There are very few comprehensive lists of verification cases for these softwares. This is one which comes to
1172.
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btrettel
9y ago
Doesn't surprise me. I've worked in computational fluid dynamics and never heard of contracts for difference until now. This is despite taking a measure theoretic probability class and being one of the few people who were not stud
1173.
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btrettel
9y ago
It seems popular to believe that for fluids in general forecast accuracy is dominated by errors in the initial conditions (ICs), but my own look at the problem suggests that's not so clear. I recall skimming a book on forecasting by a
1174.
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btrettel
9y ago
Who you were talking to doesn't seem to know what they were talking about. alephnil mentioned a real problem, but the solution in that case is to not use NS. From a practical standpoint NS is a good model of fluids in many instances
1175.
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btrettel
9y ago
Fluid dynamicist here. At the risk of looking like a heretic, I am willing to say that I don't think the NS Millennium Prize problem and related things will end up being very useful practically. I can't see how a definitive answer
1176.
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btrettel
9y ago
NS are a pretty good model for the underwater scenarios a Navy would be interested in, so I think they can be called "right" here. The fluids are regarded as "Newtonian" so the stress tensor model is good, and the densit
1177.
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btrettel
9y ago
As ekelsen mentioned, you probably were not doing a direct numerical simulation (DNS; using NS specifically) and instead were using an approximation to NS which has much lower computational cost/complexity but also reduced accuracy. Go
1178.
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btrettel
9y ago
You are on the right track. You have reinvented the basic idea behind the "Reynolds-averaged Navier–Stokes" (RANS) equations, dating back to 1895. The goal is to predict an average velocity field, and this requires modeling unclos
1179.
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btrettel
9y ago
Stanley Farlow's "Partial Differential Equations for Scientists and Engineers" would be my suggestion for an introduction. It's a Dover book, so it's cheap. Look at the book as a set of simple introductions to a lar