TITLE : A whirlpool in a pond
BY : CHAM User Support Team - Dr S V Zhubrin
FOR : Demonstration case
DATE : November, 2000
PHOENICS Version : 3.3.1
PHYSICAL SITUATION :
- Steady free surface turbulent flow of water recirculating
under influence of bottom stresses and internal blockage
in an open pond.
- The task is to simulate the velocity distribution along with
free water surface elevation.
- Hydrostatic pressure
- Incompressible, homogeneous fluid
- Non-varying bed topography
- Shallow flow: small vertical scale relative to horizontal
- Well-mixed-in-depth flow: uniform vertical distributions
- Two-dimensional treatment of three-dimensional flows with
the local depth calculated as part of solution.
- Depth-averaged version of Navier-Stokes equations;
- Equations solved by analogy to isentropic, compressible gas flow:
- Density, RHO1= Water density*Depth
- Pressure, P1= g*RHO1**2/(2*water density), i.e.
- RHO1=sqrt(2*water density*P1/g)
- U1, V1 = depth-averaged velocity components.
NUMERICAL DETAILS :
- Cartesian computational grid.
- Effective-viscosity turbulence model
- Boundary conditions:
- Fixed fluxes for inlet mass/momentum and
- Fixed-pressure outlet (equivalent to fixed depth).
- Bottom stresses are calculated by relating them
to the velocities via Chezy's coefficient.
The plots show the distribution of velocity and water depth (free
surface elevation) within the pond.
Pictures are as follows :
All model settings have been made in VR-Editor of PHOENICS 3.3.1.
The relationships for bottom stresses are introduced via PLANT menu.
The relevant Q1 file can be inspectedby clicking