Numerical Modeling of Two-Dimensional Width-Averaged Flows using Boundary-Fitted Coordinate Systems.
Final technical rept. Jun 79-Sep 83,
MISSISSIPPI STATE UNIV MISSISSIPPI STATE DEPT OF AEROPHYSICS AND AEROSPACE ENGINEERING
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Finite-difference solution of two-dimensional, time-dependent width-averaged Navier-Stokes equations, including an algebraic turbulence model, based on a numerically generated boundary-fitted coordinate system, is discussed. This solution, implemented by the WESSEL computer code, is applicable to 2D regions of arbitrary shape, with multiple inlets and outlets, and with obstacles in the interior. A choice of central, upwind, or ZIP differencing of the convective terms is provided. One-sided differencing is used for the continuity equation. The density is taken to be a function of the temperature, and the system of equations forming the model consists of the continuity equation, the two momentum equations, and the energy equation. Arbitrary distribution of velocity and temperature or density can be specified on the inlets and outlets. The solution is implicit in time, with the difference equations being solved simultaneously by SOR successive over-relaxation iteration at each time step. Pressure is calculated via Chorins method. Keywords Boundary-fitted coordinates Hydrodynamics Numerical-modeling Reservoirs Selective withdrawal Stratified flow.
- Numerical Mathematics
- Fluid Mechanics