CIV E 632 - COMPUTATIONAL HYDRAULICS AND HYDROLOGY
SPRING 2007
HOMEWORK No. 4

  1. Prove that Eqs. 10-10 and 10-11 of the text (Ponce: Engineering Hydrology) are one and the same.

  2. Develop a computer program to calculate the catchment routing problem by the method of cascade of linear reservoirs. Use U.S. customary units (square miles, inches).

  3. Test the program with the following data:

    Catchment area: 1000 sq mi

    Time interval: 6 hr

    Effective rainfall depth: 1 in.

    Effective rainfall duration: 6 hr

    Linear reservoir constant: 12 hr

    Number of linear reservoirs: 2

  4. Study the sensitivity of the model to change in model parameters. Report a matrix of nine values of peak discharge (cfs) and time-to-peak (hr), for nine combinations of three reservoir constants (12, 18, and 24 hr) and number of reservoirs in series (2, 4, and 8). What can you conclude from these runs?