On the dynamics of gravity currents in a channel

The paper presents a study on the dynamics of gravity currents in a channel. The authors also attempt to clarify factors that regulate the propagation and structure of gravity currents through evaluation of idealized theoretical models along with two-dimensional numerical model simulations. The paper seeks to reconcile research based on the hydraulic theory for gravity currents evolving from a known initial state with analysis of gravity currents that are assumed to be at steady state and compares these approaches with both numerical simulations and laboratory experiments.

[1]  G. Batchelor,et al.  An Introduction to Fluid Dynamics , 1968 .

[2]  Jess Charba,et al.  Application of Gravity Current Model to Analysis of Squall-Line Gust Front , 1974 .

[3]  L. Armi.  The hydraulics of two flowing layers with different densities , 1986, Journal of Fluid Mechanics.

[4]  K. Droegemeier,et al.  Numerical Simulation of Thunderstorm Outflow Dynamics. Part I: Outflow Sensitivity Experiments and Turbulence Dynamics , 1987 .

[5]  Torstein K. Fannelop,et al.  DYNAMICS OF OIL SLICKS , 1972 .

[6]  D. Lilly,et al.  On the numerical simulation of buoyant convection , 1962 .

[7]  The Vertical Structure of New England Coastal Fronts , 1990 .

[8]  J. Simpson,et al.  Gravity currents produced by instantaneous releases of a heavy fluid in a rectangular channel , 1983, Journal of Fluid Mechanics.

[9]  Mitchell W. Moncrieff,et al.  Two‐dimensional convection in non‐constant shear: A model of mid‐latitude squall lines , 1982 .

[10]  T. Kármán.  The engineer grapples with nonlinear problems , 1940 .

[11]  Rex Britter,et al.  Experiments on the dynamics of a gravity current head , 1978, Journal of Fluid Mechanics.

[12]  T. Benjamin.  Gravity currents and related phenomena , 1968, Journal of Fluid Mechanics.

[13]  J. Klemp,et al.  The Simulation of Three-Dimensional Convective Storm Dynamics , 1978 .

[14]  J. Simpson,et al.  A comparison between laboratory and atmospheric density currents , 1969 .

[15]  J. B. Schijf,et al.  Theoretical considerations on the motion of salt and fresh water , 1953 .

[16]  M. Abbott.  On the spreading of one fluid over another , 1961 .

[17]  O. Tietjens,et al.  Applied hydro- and aeromechanics , 1934 .

[18]  David P. Hoult,et al.  Oil Spreading on the Sea , 1972 .

[19]  D. Durran,et al.  A Compressible Model for the Simulation of Moist Mountain Waves , 1983 .

[20]  C. Guha,et al.  Hydraulic Jump in a Fluid System of Two Layers , 1955 .

[21]  Rex Britter,et al.  The dynamics of the head of a gravity current advancing over a horizontal surface , 1979, Journal of Fluid Mechanics.

[22]  Rex Britter,et al.  A laboratory model of an atmospheric mesofront , 1980 .

[23]  G. C. Gardner,et al.  The motion of large bubbles in horizontal channels , 1970, Journal of Fluid Mechanics.

[24]  M. Moncrieff,et al.  A hydrodynamical theory of conservative bounded density currents , 1989, Journal of Fluid Mechanics.

[25]  R. Carbone.  A Severe Frontal Rainband. Part I. Stormwide Hydrodynamic Structure , 1982 .

[26]  R. Wakimoto.  The life cycle of thunderstorm gust fronts as viewed with Doppler radar and rawinsonde data , 1982 .

[27]  M. Shapiro,et al.  The Frontal Hydraulic Head: A Micro-α Scale (̃1 km) Triggering Mechanism for Mesoconvective Weather Systems , 1985 .

[28]  N. A. Crook,et al.  A numerical and analytical study of atmospheric undular bores , 1985 .

[29]  Chia-Shun Yih,et al.  Dynamics of nonhomogeneous fluids , 1965 .

[30]  P. Hobbs,et al.  The Mesoscale and Microscale Structure and organization of Clouds and precipitation in Midlatitude Cyclones. Part V: The Substructure of Narrow Cold-Frontal Rainbands , 1982 .

[31]  James Shipman,et al.  Wave Motion , 2006 .

[32]  D L Wilkinson,et al.  Motion of air cavities in long horizontal ducts , 1982, Journal of Fluid Mechanics.

[33]  R. Rotunno,et al.  A Theory for Strong, Long-Lived Squall Lines , 1988 .