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Probabilistic methods and computer simulation are used to analyze streamline properties of flows defined by a general class of random, incompressible velocity fields. Such fields are stochastically modeled by a superposition of simple shear-flow layers. The resulting flow is governed by a nonstationary, random Hamiltonian with Hurst exponent H = 0....
We analyze from first principles the advection of particles in a velocity field with HamiltonianH(x, y)= V 1 y– V 2 x+W 1 (y)-W 2 (x), whereW i , i=1, 2, are random functions with stationary, independent increments. In the absence of molecular diffusion, the particle dynamics are very sensitive to the streamline topology, which depends on...
Thesis (Ph.D.)--New York University, Graduate School of Arts and Science, 1993. Typescript. Includes abstract. Includes bibliographical references (leaves 114-118).