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Computing Seiches of Lake Mendota, WI
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RESULTS

Output from FEMSEICHE
Comparison with field data and theoretical values computed using Merian's formula

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Output from FEMSEICHE
After inputting the bathymetry data, the geometric data  of Lake Mendota was modeled in FEMSEICHE, the computed seiches periods for different modes were tabulated below:

Mode

Period (min)

1

80.42

2

28.13

3

19.93

4

15.34

5

14.20

6

12.55

7

11.75

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*the above graph is supposed to show the spatial structure of seiches, however, there might be some errors and the spatial structure cannot be obtained successfully. Further correction has to be done.

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Comparison with field data and theoretical values computed using Merian's formula
Calculated seiches periods were compared to 2-minutes interval field data which lasts for 8 hours. The frequency of the data was plotted against the amplitude. According to the study done by Jared Jasinsk, the period of seiches at the first mode should be about 26 minutes. Periods of seiches for the first six modes were roughly estimated from the graph (see the arrows on the plot) and were tabulated in the table below.

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Mode no.

Field data

FEMSEICHE

Merian's

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Period (min)

Period (min)

Diff. w/ field (%)

Period (min)

Diff. w/ field (%)

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1

-

80.42

-

17.72

-

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2

25.64

28.13

9.71

8.86

-65.46

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3

21.65

19.93

-7.93

5.91

-72.72

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4

15.29

15.34

0.31

4.43

-71.04

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5

13.44

14.20

5.62

3.54

-73.64

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6

12.35

12.55

1.62

2.95

-76.08

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7

11.57

11.75

1.48

2.53

-78.13

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Seiches period were also computed by using the Merian's formula. Values of periods computed by both Merian's and FEMSEICHE were then compared with the field data in the table above. One assumption was made, that is the first mode was missing from the field data. Based on that assumption, the seiches period calculated by FEMSEICHE match well with the field data. The percentage error is within 10% for the first seven modes. On the other hand, the estimated values from the Merian's formula were over 65% away from the field values.

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