CIV E 632 - COMPUTATIONAL HYDRAULICS AND HYDROLOGY
SPRING 2008
HOMEWORK No. 1

  1. Calculate the celerity functions of the dynamic wave.

  2. Use dimensionless wavenumbers varying smoothly between 0.01 and 1000.

  3. Use Froude numbers of 0.01, 0.02, 0.04, 0.1, 0.2, 0.4, 1, 2, 4, and 10.

  4. Plot dimensionless relative wave celerity vs dimensionless wavenumber for the chosen set of Froude numbers. Use logarithmic scales.

  5. For Froude numbers of 0.01, 0.02, 0.04, 0.1, 0.2, 0.4, and 1.0, determine the dimensionless wavenumbers for which the relative celerity is 1% is more than the Seddon speed.

  6. For Froude numbers of 0.01, 0.02, 0.04, 0.1, 0.2, 0.4, and 1.0, determine the dimensionless wavenumbers for which the relative celerity is 1% less than the Lagrange speed.

  7. Write a short report describing the work performed and conclusions reached.