By Bengt Andersson; et al
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Extra resources for Computational fluid dynamics for engineers
From the numerical data produced during the iterative process, it is possible to see that the rate of change of a numerical value at a specific cell decreases with iteration. 9, where all cell values have been plotted against the number of iterations. Eventually, after continuing iterations for a ‘very long’ time, the same solution as was obtained in Example 1 will be reached, but already after a few iterations this solution is very close. Notice that there have been no additional sources of error introduced into the equations apart from the previously discussed discretization error and the error stemming from face-value or face-gradient approximations.
L− = φ| L+ . 31) The pressure outlet boundary condition is often the default condition used to define the static pressure at flow outlets. The use of a pressure outlet boundary condition instead of an outflow condition often results in a better rate of convergence when backflow occurs during iteration. Pressure outflow is also useful when there are several outflows. Specified outflow boundary conditions are used to model flow exits where the details of the inlet flow velocity and pressure are not known prior to solution of the flow problem.
As shown earlier, it is assumed that steady conditions prevail and thereby it is possible to neglect the accumulation term. Further, there is no internal source of species A in our system. This results in the reduced equation e e d(U φ) ρ dx = dx w d dx Ŵ dφ dx dx. w This can be evaluated into the algebraic form (ρU φ)e − (ρU φ)w = Ŵ dφ dx − Ŵ e dφ dx . 12) w This equation holds for all cells. To proceed, estimates are required for the face values of φ and U and the gradient of φ at the faces. This can be done in many ways, but the most straightforward solution is to use a linear interpolation from neighbouring cells.
Computational fluid dynamics for engineers by Bengt Andersson; et al
Categories: Fluid Dynamics