Finite element analysis of finite gravity surges
Abstract
Stable finite gravity surges in confined channels are investigated analytically using perfectfluid theory, and the resulting Laplace equation is solved numerically by a finiteelement method employing linear triangular elements. An iterative algorithm is developed which satisfies the nonlinear interface condition resulting from crossinterface pressure balance and momentum conservation in the direction of flow. The results are presented graphically and discussed. The overall Richardson number of the flow field, equal to 4 for an infinite surge (Benjamin, 1968), is found to increase as surge length and thickness decrease. Downstream receding flow can be either subcritical or supercritical, depending on Richardson number. The gravitysurge phenomenon occurs in the atmosphere, in saltwater/freshwater locks, in avalanches, and in seasurface oil spills.
 Publication:

Finite Element Flow Analysis
 Pub Date:
 1982
 Bibcode:
 1982fefa.proc..487M
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 Parallel Flow;
 Steady Flow;
 Ideal Fluids;
 Laplace Equation;
 Richardson Number;
 Fluid Mechanics and Heat Transfer