Abstract
In this paper, a simple approach for modelling the reproduction of bacteria in water flow is presented. Firstly, the basic mathematical model for simulating the advection-diffusion of pollutions in water flow is reviewed and validated. Then, a solution strategy of doubling the concentration at regular intervals by the basic model is proposed. This approach is easy to be implemented in the existing flow field solver and is proved to be feasible by simulating a standard example. Finally, the spread of the bacterial pollution in a pool is simulated. The result shows that the water quality variation in the pool can be attributed to both the flow patterns of the water flow and the reproduction characteristics of the bacteria. The recirculation region limits the spread of the bacteria, which induces the continuous deterioration of water quality when considering the reproduction of the bacteria.
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