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CE5504 – Surface Water Quality Modeling CE5504 Surface Water Quality Modeling Lab 1. Numerical Methods and Population Growth Modeling.

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Presentation on theme: "CE5504 – Surface Water Quality Modeling CE5504 Surface Water Quality Modeling Lab 1. Numerical Methods and Population Growth Modeling."— Presentation transcript:

1 CE5504 – Surface Water Quality Modeling CE5504 Surface Water Quality Modeling Lab 1. Numerical Methods and Population Growth Modeling

2 Begin with a mass balance on microbial growth CE5504 – Surface Water Quality Modeling

3 (Mihelcic 1999, Figure 5.4) Exponential growth model CE5504 – Surface Water Quality Modeling

4 Environmental Resistance CE5504 – Surface Water Quality Modeling (Mihelcic 1999, Figure 5.5)

5 Logistic growth model CE5504 – Surface Water Quality Modeling (Mihelcic 1999, Figure 5.7)

6 Example: carry capacity effects CE5504 – Surface Water Quality Modeling (Mihelcic 1999, Figure 5.6)

7 Monod Model CE5504 – Surface Water Quality Modeling (Mihelcic 1999, Figure 5.8)

8 Example: resource competition CE5504 – Surface Water Quality Modeling (Mihelcic 1999, Figure 5.9)

9 The Yield Coefficient CE5504 – Surface Water Quality Modeling

10 The Death (Respiration) Coefficient CE5504 – Surface Water Quality Modeling

11 Putting It All Together CE5504 – Surface Water Quality Modeling (Mihelcic 1999, Figure 5.10)

12 Numerical Integration CE5504 – Surface Water Quality Modeling  non-idealized loading functions  variable parameters  multi-segment systems  non-linear kinetics

13 The Euler Method CE5504 – Surface Water Quality Modeling

14 The Effect of Step Size CE5504 – Surface Water Quality Modeling (Spain 1982, Figure 5.1)

15 Code CE5504 – Surface Water Quality Modeling

16 Code (continued) CE5504 – Surface Water Quality Modeling

17 Code (continued) CE5504 – Surface Water Quality Modeling


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