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pb5_10 - MPO 662 Problem Set 5 1 numerical gravity wave...

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MPO 662 – Problem Set 5 1. numerical gravity wave dispersion The tide propagation inside a channel is simulated using a finite difference model. The user is trying to decide how to configure it. Use the dispersion relationship to decide on the number of points needed per wavelength to represent the phase speed at better then 95% accuracy. Use the dispersion relations to estimate this number for staggered and unstaggered grids of 2nd, 4-th and 6-th order. Repeat the exercise for 99% accuracy. You can use matlab’s solve command to solve nonlinear equations. Alternatively, you can use the fortran code newtonraphson.f90 which is downloadable from the website. 2. numerical Rossby wave dispersion A climate simulation is run on a 1 grid using a second order differencing scheme on a C-grid. Assuming a Rossby radius of deformation of about 50 km at 45 degree latitude, a β = 2 × - 11 m - 1 s - 1 and f = 10 - 5 s - 1 , how well are zonal ( l = 0) Rossby wave speeds represented if their wavelengths is 50, 100, 200 km?
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  • Spring '08
  • Iskandarani,M
  • Wavelength, ej, finite difference model, gravity wave dispersion, Rossby wave dispersion, 1D SWE equations

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