By Rudy Rucker
Felix Rayman spends the day instructing detached scholars, wondering his theories on infinity, and having a pipe dream. while his goals ultimately separate him from his actual physique, Felix plunges headfirst right into a multidimensional universe past the bounds of house and time — where of White gentle.
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Cauchy (1827) is the stress principle. This principle 30 2 The Navier–Stokes Equations (translation by C. Truesdell) states that “upon any imagined closed surface S there exists a distribution of stress vectors whose resultant and moment are equivalent to those of the actual forces of material continuity exerted by the material outside S upon that inside” This principle has the simplicity of genius. Its profound originality can be grasped only when one realizes that a whole century of brilliant geometers had treated very special elastic problems in very complicated and sometimes incorrect ways without ever hitting upon the basic idea, which immediately became the foundation of the mechanics of distributed matter (C.
And so ad inﬁnitum. ” (J. Swift) and by L. ” (L. da Vinci) Kolmogorov began his analysis with the assumption that, roughly speaking, far enough away from walls, after a long enough time, and for high enough Reynolds numbers time averages of turbulent quantities depend only on one number, the time-averaged energy dissipation rate: 1 T →∞ T T (t) dt. := lim 0 Two remarkable consequences were that: (1) the smallest persistent eddy in a turbulent ﬂow is of diameter O(Re−3/4 ); (2) E(k) must take the universal form E(k) = α with other.
These quantities are mainly statistics for statistically steady state ﬂows and pointwise values for time-dependent ﬂows. We also mention a few practical issues associated with Step 3. First, the LES runs are usually computationally intensive: a turbulent channel ﬂow LES run can take a couple of days on a 32 processor machine. The generation of the initial conditions can be several times more expensive. Secondly, the storage of the output data could be a challenge: a generic ﬂow ﬁeld ﬁle could be several Mbytes – if one needs to store thousands of such ﬁles for each LES run (to generate a movie, for example), storage becomes critical.