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following: V rVO~ (k-1) in G rVO = rVpecified on dG rV k = (1- E)rV -l) (3.15) (3.15) VW2(k)=R inG W(k)=2(kA)_ M wV-c['-g] onOG W(k) = (1 - 6)w(k-1) + 6w(k) where G is the domain of the blade region, 9G is the boundary of the blade region, c is an arbitrary nonzero constant, Eand 6 are two relaxation constants and g is set to be zero for vanishing normal gradient of rV and nonzero otherwise. The two Poisson equations are solved by the same method as has been described in Sec.3.2. It has been noted by Yang that if under-relaxation is used, small numbers of conjugate gradient iterations (usually 10 - 15) are needed on each local iteration. With c = 1, e = 6 = 0.15, in general the solution requires k = 250 global iterations to achieve machine accuracy. 3.5 The Computational Scheme The same computer programs that were developed by Yang were modified to include the option of incorporating the inverse design of the splitter blades. The procedure is basically similar: Step 1. Grid Generation The same hub and shroud profiles as in the original work by Yang are used. The algebraic method is used to generate the grid. For the design calculations presented in this thesis, the number of gridpoints in the streamwise direction is taken to be 97 and that in the spanwise direction to be 33. However, in the tangential direction,PDF Image | Radial Inflow Splitter Blades in Three-Dimensional
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