A Numerical Study of Viscous Flows of Stably Stratified Fluids over Barriers.
NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD
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Numerical techniques for integrating the Navier-Stokes equations, which have proven useful in the study of homogeneous viscous flows, have been extended to handle the flow of a stably stratified viscous fluid over an infinitely long ridge. The flow is considered to be time-dependent and arbitrary initial conditions are employed. Almost steady-state solutions have been computed for Re10 with Ri0, 0.25, 2, and 4 and Re100 with Ri0.25, where Re and Ri are the Reynolds and Richardson numbers, respectively. An almost periodic solution has been found for Re100 with Ri2. Two basic velocity profiles have been used to demonstrate the dependence of the flow characteristics on the basic flow.
- Fluid Mechanics