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Several problems, contradictions, and even fallacies related to the perception and modeling of precipitation still exist.
Despite this fact, the stochastic part of the precipitation data is not usually considered in modeling of precipitation process.
The results of the present study confirmed the suitability of proposed methodology for precise modeling of precipitation.
In this study, modeling of precipitation changes is done using GAMLSS-based nonstationary techniques with consideration of the influence of large-scale climate oscillations on precipitation changes in the East River basin.
Great advancement has been achieved in the analysis of specific microstructure instability causing a loss of creep strength at 550 °C and above, the prediction of onset time of the creep strength loss and theoretical modeling of precipitation sequences in power plant steels.
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The classical sharp-interface models of precipitation consider the interface between the precipitate and the parent phase to be a singular surface (Lifshitz & Slyozov, 1961; Rahaman, 2003).
The most promising physically based modelling of precipitation for this purpose at present is Langer-Schwartz-Kampmann-Wagner (LSKW) modelling within the CALPHAD framework.
We compare and contrast these two water resources, and consider how well global models of precipitation isotopes capture isotopic variation across South Africa.
The computational model of precipitation of the ordered tetragonal phase, based on the continuum stochastic field kinetic equations for the composition and long range order (lro) parameters profiles, is formulated.
Nevertheless, it is useful to first review the classical models of precipitation since they represent limiting cases of the generalized sharp- and diffuse-interface models for void growth, before introducing the sharp interface model of voids reported in (El-Azab et al., 2014; Hochrainer & El-Azab, 2015).
Although saturation state based kinetic precipitation models cannot accurately reflect the controls on crystal growth kinetics or reliably predict growth mechanisms, the relatively reaction orders obtained from modeling of calcite precipitation rates as function of decreasing carbonate concentration suggest that the precipitation occurred via surface-controlled rate determining reactions.
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