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GPS-X Technical Reference

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231 Attached-Growth Models<br />

The next two items in this form, under the heading Speed, concern the integration of the<br />

soluble components. Since these components are diffusing through the biofilm, and<br />

consequently change rapidly when compared to the particulate components, which are<br />

changing only due to their growth rates, they tend to dominate the numerical solver. To<br />

increase the speed of simulation, it was found that these components can be integrated<br />

less frequently without loss of accuracy. When the soluble variables are scheduled to be<br />

integrated, their derivatives are calculated from equations (Equation 7.1) and (Equation<br />

7.2). Otherwise, the derivatives are set to zero. There are two variables which are used to<br />

specify how frequently the states are integrated: the soluble integration period, and the<br />

duration for integration or how long the states are integrated for each period (soluble<br />

integration length). These concepts are shown in Figure 7-3, with the results for<br />

ammonia shown in Figure 7-4.<br />

Figure 7-11 shows more physical components associated with oxygen solubility. The<br />

oxygen mass transfer coefficient is calculated from the physical conditions within the<br />

filter (thickness of biofilm and diffusion rate of oxygen) and is affected by temperature<br />

and the saturated dissolved oxygen concentration. These values are either input in the<br />

general data entry area or specifically set for each object.<br />

Figure 7-11 – Physical Dimensions of the RBC (More…)<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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