| Summary: | ABSTRAK
Fluid dynamics modeling is important for hydraulic structure design or any process which involes flow like transport of pollutant. A finite element model for 3-D unsteady and incompressible flow is developed. The fundamental equations are the momentum (Navier-Stokes) and the continuity equations. These equations are written in the primitive variables of velocity components and pressure.
The numerical scheme employs time-splitting method. It consists of four stage solution procedures within a time step, i.e., Taylor-Galerkin convective approximation, viscous prediction, pressure correction, and velocity correction. The velocity-pressure solution based on the quadratic velocity and linear pressure interpolation.
To show performance of the model, comparison to the analytical solution on simple cases and comparison to other researchers's results was performed. The numerical simulations show that the numerical scheme based on Taylor-Galerkin pure convection equation is stable for Courant number S 0,39. The numerical scheme which involves convection and viscous terms is stable for certain range of Courant (Cr) and Peclet (Pe) number, for Peclet number 0 < Pe S 7 Courant number increases linearly.froni Cr 0 to Cr = 0,39, and for Pe > 7 Courant number remains constant on 0,39.
Keywords : Navier-Stokes equation, incompressible flow, finite element, Taylor-Galerkin
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