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Open image in new window Fig. 4 a Effect of A parameter on temperature distribution when M = 1, S = 1, Le = 1, Nb = 1, Nt = 1, Pr = 6.2.
Open image in new window Fig. 3 a Effect of A parameter on velocity distribution when M = 1, S = 1, Le = 1, Nb = 1, Nt = 1, Pr = 6.2.
b Effect of A parameter on concentration distribution when M = 1, S = 1, Le = 1, Nb = 1, Nt = 1, Pr = 6.2 Open image in new window Fig. 5 a Effect of S parameter on temperature distribution when M = 1, A = 1, Le = 1, Nb = 1, Nt = 1, Pr = 6.2.
Parameter plots allow studying the effect of a parameter systematically.
In contrast, global sensitivity analysis (GSA) methods evaluate the effect of a parameter while all other parameters are varied simultaneously, accounting for interactions between parameters without depending on the stipulation of a nominal point.
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The effects of a parameter are shown by varying only the parameter of interest while fixing all the other parameters since it is not possible to show the results of all possible parameter combinations.
Since the output of the model contains many data, there are numerous ways to measure and weigh the effects of a parameter change in the model.
The effect of deleting a parameter, however, can be easily achieved by setting its value to zero.
Interactions of the parameters are unpredictable in non-linear models such as the CPM, but their impact is significant, since a large combined effect of parameters on the output impedes the experimental testing of a predicted effect of a single parameter.
From this, we estimate the total effect of a given parameter (ST) and its direct effect in the absence of interactions with other parameters, which is its first-order sensitivity (S1) (2) S T i = V i + ∑ j > i V i j + … + V 12 … k V (AP − 1 ) (3) S 1 i = V i V (AP − 1 ) These sensitivity indices, S T i and S 1 i, refer to the effect of a given model parameter i ∈ 1... k, on the output of interest.
In this study the effect of a single parameter was evaluated and the other factors were considered fixed, while the interaction of these parameters may have different effects.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com