By Jochen Kämpf
This ebook introduces the reader to complicated tools utilized in the computer-based modelling of fluid strategies. This contains nonhydrostatic methods comparable to breaking inner waves and density-driven convection, however the version code is additionally used to simulate an El-Niño occasion! The e-book comprises 25 functional workouts, utilizing freely on hand Open-Source software program suites, that are established via the medical group. during this booklet, the artwork of hydrodynamic modelling is made to be had and obvious to a much broader readership. an enticing byproduct of the e-book is that effects are animations instead of nonetheless photos. version codes and animation scripts for all routines are provided on an internet site. The reader can undertake version codes for personal self sustaining studies
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Extra resources for Advanced Ocean Modelling: Using Open-Source Software
4 Nonhydrostatic Solver 27 imposed by a tilted sea surface and arising from nonhydrostatic effects. For a constant-density ocean, the latter equation turns into P = q. 2 Starting as Simple as Possible The focus is now placed on Eqs. 5) that govern the dynamics of surface gravity waves. Eqs. 18) The result are four coupled partial differential equations with four unknowns. The equations describe the dynamics of both short and long surface gravity waves. Unfortunately, these equations cannot be solved in a straight-forward explicit manner, because dynamic pressure appears implicitly on the right-hand side of the momentum equations.
The initial density disturbance creates an internal wave pattern that becomes reflected at the closed lateral boundaries (Fig. 21). At times, internal waves break and induce vertical mixing. Reflection at closed boundaries gives rise to a complex wave pattern. Vertical profiles of vertical velocity (Fig. 22) reveal wave shapes of one or two maxima in the water column corresponding to mode numbers n = 1 and n = 2 (see Fig. 19), demonstrating that the vertical boundaries of fluids operate as a waveguide.
2 2D Vertical-Slice Modelling 23 Fig. 2 The two-dimensional vertical ocean slice The continuity equation (Eq. 3 shows the configuration of the Arakawa C-grid (Arakawa and Lamb, 1977) applied to the vertical ocean slice. This grid is the basis for all exercises of this book. Vertical location is defined by the level index i and vertical grid spacing Δz. The uppermost grid cell carries the index i = 1, whereas i = nz points to the bottom layer. e. density) are centred between u- and w-velocity grid points.
Advanced Ocean Modelling: Using Open-Source Software by Jochen Kämpf