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13) and Eq. 14) have been introduced. 2 33 Concluding remarks The solution strategy for a simple CFD problem has now been demonstrated. However, it must be kept in mind that the solved example contained many simplifications and was well defined in many ways. Generally, it is not possible to solve a CFD problem with a direct method, such as Gaussian elimination. The focus is then turned towards iterative methods. Some examples of simplifications in the solved Example 1 are the following. r The problem could be treated as 1D due to symmetries.

6) What are standard outlet conditions? (7) What is a no-slip condition at the wall and when can it be used? (8) What is a periodic boundary condition? (9) What are symmetry and axis boundary conditions? (10) What is an equation of state? Cambridge Books Online © Cambridge University Press, 2012 Cambridge Books Online © Cambridge University Press, 2012 3 Numerical aspects of CFD This chapter introduces commonly used numerical methods. The aim is to explain the various methods so that the reader will be able to choose the appropriate method with which to perform CFD simulations.

0 = 2φA − φ1 = −30, φ11 = 2φB − φ10 = 150. Now, Eq. 37. 8 A plot of molar concentration as a function of the distance from the left plate at different stages in the iterative process. On looking at the numerical values of the cells, a tendency for the low value at the western boundary to ‘spread’ through the domain can be seen. This is because iterations are sweeping from west to east, not vice versa. Iterating from east to west would have resulted in a profile, at this stage, with cell values higher than 50 for almost all cells.