By T. F. Swean Jr., G. A. Keramidas (auth.), C. A. Brebbia, G. A. Keramidas (eds.)
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Extra info for Computational Methods and Experimental Measurements: Proceedings of the 2nd International Conference, on board the liner, the Queen Elizabeth 2, New York to Southampton, June/July 1984
S. single-particle dispersions. s. relative dispersion over time between two particles whose initial separations are given at t=O, using the second scaling. With this latter scaling, even though the single-particle statistics are comparable, the relative dispersions are not. s. velocity of the field. 6 (Figure 6 at t=1). As each particle is convected by the field, the distance and time over which the field is correlated determine the directional persistence of the particle trajectory. ) >,AI Con 1I nuous F le I d öl V· ...
In diserete fields the ordinarily eontinuous variables rand T take on only integer values 1-47 reflecting grid spacing and timestepping. For our discrete fields to have an interesting analog to "real" two-dimensional flow fields, they must exhibit non-zero spatial and temporal correlation over finite numbers of grid spaces and timesteps. ) Patterson and Corrsin (1966) in one space dimension plus time began with Markovian fields and introduced correlation in both space and time by "smoothing" the fields through various space/time, low-pass filters.
Correlation. ) Although Patterson (1958) was able to derive the equations of constraint for such fields, he did not develop an algorithm for producing them. It is this special random walk--a walk on a random field--which we explore in this paper. We succeed, at least empirically, in generating correlated two-dimensional, bi-directional-binary velocity fields (from here on referred to simply as discrete fields). We carry out several numerical experiments which consist of following the trajectories of hypothetical particles embedded in the fields.