A numerical study of viscous flows of stably stratified fluids over barriers
Abstract
Numerical techniques for integrating the NavierStokes equations, which were proven useful in the study of homogeneous viscous flows, were extended to handle the flow of a stably stratified viscous fluid over an infinitely long ridge. The flow is considered to be timedependent, and arbitrary initial conditions were employed. Almost steadystate solutions were computed for Re=10 with Ri=0, 0.25, 2, and 4; and Re=100 with Ri=0.25, where Re and Ri are the Reynolds and Richardson numbers, respectively. An almost periodic solution was found for Re=100 with Ri=2. Two basic velocity profiles were used to demonstrate the dependence of the flow characteristics on the basic flow.
 Publication:

Final Report Naval Ship Research and Development Center
 Pub Date:
 November 1974
 Bibcode:
 1974nsrd.rept.....H
 Keywords:

 Fluid Dynamics;
 Numerical Analysis;
 Viscous Flow;
 Barriers;
 Finite Difference Theory;
 Mathematical Models;
 NavierStokes Equation;
 Problem Solving;
 Time Dependence;
 Fluid Mechanics and Heat Transfer