We develop an analytic formalism and derive new exact relations that express the short-time dispersion of fluid particles via the single-time velocity correlation functions in homogeneous isotropic and incompressible turbulence. The formalism establishes a bridge between single-time Eulerian and long-time Lagrangian pictures of turbulent flows. In particular, we derive an exact formula for a sh...

In this paper, simple modifications to the pseudospectral time-domain (PSTD) algorithm that offer dispersion compensation are presented. In a homogeneous lossless medium, the compensation offers an exact solution for one-dimensional (1D) propagation. For 2D and 3D propagation, the proposed method can compensate dispersion for a central frequency in any direction. The techniques are then extende...

Cross-linking of the cubic silicate building block, Si8O20 with vanadyl chloride leads to porous solids in which a homogeneous dispersion of isolated vanadyl groups is maintained throughout the matrix even at high loadings of vanadium.

The Jeans instability of infinite homogeneous, self-gravitating quantum plasma is investigated under the assumption of optically thick medium and black body radiation. The general dispersion relation is obtained and the condition of instability is discussed.

In the present paper, effect of initial stresses on the propagation of Love waves has been investigated in a fluid saturated, anisotropic, porous layer lying in welded contact over a prestressed, non-homogeneous elastic half space. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisot...

Paper reviews recent laboratory and numerical model studies of passive gaseous tracer dispersion in the atmospheric convective boundary layer (CBL) with surface and elevated wind shears. Atmospheric measurement data used for validation of these two model techniques are briefly discussed as well. A historical overview is given of laboratory studies of dispersion in the atmospheric CBL. Model stu...

This report is a presentation of the theoretical aspects of the investigations and a few confirmatory laboratory studies of the dispersion process. The basic assumptions associated with the development of the dispersion equation, based on the applicability of a heuristic expression similar to Pick's law, are described. In general, these assumptions limit its application to a homogeneous medium ...