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The modelling method is characterised by a decomposition of the model into interacting submodels and by a stepwise introduction of simplifying assumptions on different decomposition levels.
The photocatalytic activities of the obtained materials were evaluated by monitoring the decomposition of the model compounds nitric oxide (NO) and acetaldehyde under UV and visible light illumination.
A novel solution to this problem is presented based on detecting approximate local incomplete symmetries, in a hierarchical decomposition of the model into simpler, more symmetric sub-parts.
Their photocatalytic performance was studied by utilizing them for the liquid-phase decomposition of the model dye methylene blue (MB) under visible-light irradiation.
It is shown that a simultaneous decomposition of the model and the optimisation problem allows input signals to be selected, which sufficiently excite the bioprocess and allow the required level of decorrelation and accuracy to be achieved.
Additionally, we show that our approach corresponds to a micro-macro decomposition of the model, where the macro field corresponds to the incompressible component satisfying a perturbed low Mach number limit equation and the micro field is the potential component of the velocity.
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This systematic methodology incorporates the advanced concept of proper orthogonal decomposition for the model reduction of distributed parameter systems.
For that it is very attractive to appeal to a decomposition of the system model into a number of simpler linear models.
The presence of the catalyst increased the decomposition rate of the model compound but decreased the degradation rate of polystyrene as measured by evolution of low molecular weight products.
To reduce the required computational effort during Bayesian calibration, the original computer simulation model is substituted with Kriging surrogate models based on the singular value decomposition (SVD) of the model response and the Karhunen Loeve expansion (KLE) of the spatially varying parameters.
It is not the intention of this paper, nor would it be feasible, to provide a complete engineering decomposition of the proposed model, describing all calculation processes in detail.
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