Frontogenesis in gravity currents: An example with no known applications in oceanography
Abstract
The formation of a front depends on the nonuniformity of the initial horizontal density gradient. This frontogenesis and the consequent changes to the flow are studied. The case of an initial quadratic density distribution is theoretically investigated. The solution is found as a power series in time. The steepening of the density gradient occurs at 0 (t to the 2nd power) and the resultant increases in horizontal shear and vertical flow occurring at 0 (t to the 3rd power). Nonlinear partial differential equations and boundary conditions are set up to describe the flow at times beyond that at which the powerseries solution is accurate.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 August 1989
 Bibcode:
 1989STIN...9026284K
 Keywords:

 Flow Distribution;
 Fronts;
 Gravitational Waves;
 Oceanography;
 Wave Fronts;
 Density Distribution;
 Flow Equations;
 Flow Visualization;
 Frontal Waves;
 Power Series;
 Vorticity;
 Fluid Mechanics and Heat Transfer