By Jochen Kämpf
This booklet introduces the reader to complicated tools utilized in the computer-based modelling of fluid tactics. This comprises nonhydrostatic methods resembling breaking inner waves and density-driven convection, however the version code is additionally used to simulate an El-Niño occasion! The ebook includes 25 sensible workouts, utilizing freely on hand Open-Source software program suites, that are standard through the clinical group. during this e-book, the paintings of hydrodynamic modelling is made to be had and obvious to a much broader readership. an enticing byproduct of the booklet is that effects are animations instead of nonetheless photographs. version codes and animation scripts for all routines are provided on an internet site. The reader can undertake version codes for personal self sufficient studies
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Extra info for Advanced Ocean Modelling: Using Open-Source Software
Crests and troughs are oriented perpendicular to this direction. 3) where u is horizontal velocity, w is vertical velocity, ρo is a constant reference density, and P is dynamic pressure. For simplicity, nonlinear terms and frictional effects have been neglected here to first-order approximation. 4) This equation is coupled to the momentum equations via a relation between sealevel elevation and dynamic pressure at the undisturbed sea surface (z = 0). 5) Despite this approximation, the governing equations can still describe nonhydrostatic processes, as will be demonstrated in the following exercise.
Note that the dispersion relation for long waves (Eq. 8) gives the relationship: λ= ghT 34 3 Basics of Nonhydrostatic Modelling Fig. 9 Exercise 3. Ensemble of vertical profiles (thin lines) of dynamic pressure, divided by ρo g, taken from the entire model domain after 100 secs of iteration. The thick line shows the theoretical result of maximum pressure values according to Eq. 12) Total water depth can be changed by variation of either vertical grid spacing or the total number of vertical levels nz in the declaration section.
15 Exercise 4: Snapshots of the density distribution (shading and contours) at selected times of the simulation Fig. 16 Variation of Exercise 4. Initial density field and bathymetry pair, sometimes called a “mushroom” (Fig. 17). Notice that a fraction of dense water flows back downward on the ramp. Surely, neither the initial density distribution nor our bottom topography can be found in nature, but it is fun to create such fictional scenarios, isn’t it? When I showed the GIF animation of the results in the classroom, students asked whether I believed these results were realistic.
Advanced Ocean Modelling: Using Open-Source Software by Jochen Kämpf