Development and Evolution of Nearshore Topography.
Final technical rept. 1 Jun 93-31 May 95,
SCRIPPS INSTITUTION OF OCEANOGRAPHY LA JOLLA CA
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Hydrodynamic descriptions of one-dimensional granular systems have emphasized that the usual master variables, density, velocity and temperature are inadequate. A minimal description requires a fourth variable which is the third moment or skewness of the single particle velocity distribution function. These supplemented hydrodynamic systems have been used to study the linear stability of the spatially homogeneous state and good agreement with numerical simulation has been claimed. The linear stability analysis also shows that the hydrodynamic equations are ill-posed because the instability has no high wavenumber cut-off. That is, arbitrarily small scale disturbances are linearly unstable. This problem with the hydrodynamic description is physically justified because inelastic collapse is a particle scale mechanism through which hydrodynamics fails.
- Fluid Mechanics