By Jochen Kämpf
This ebook introduces the reader to complex tools utilized in the computer-based modelling of fluid tactics. This contains nonhydrostatic approaches akin to breaking inner waves and density-driven convection, however the version code is additionally used to simulate an El-Niño occasion! The publication includes 25 sensible routines, utilizing freely on hand Open-Source software program suites, that are common by way of the medical 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 ebook is that effects are animations instead of nonetheless pictures. 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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Additional resources for Advanced Ocean Modelling: Using Open-Source Software
1 s, which satisfies the CFL Fig. 7 Exercise 4: Density-Driven Flows 41 criteria for both external gravity waves (Eq. 35) and advection (Eq. 43). R. scheme are kept at the same values as in the previous exercise. 3 Theory Baroclinic pressure gradients associated with horizontal density differences will produce a bottom-arrested density-driven flow. The resultant speed of the flow can be estimated from energy conservation principles. In this process, potential energy available from the initial density field is converted into kinetic energy of the flow.
Note that the vertical scale from Eq. 62) is of the same order of magnitude as the horizontal wavelength described by Eq. 56). Hence, horizontal and vertical length scales of turbulent vortices inherent with the Kelvin-Helmholtz instability mechanism are closely related to each other, which implies a nonhydrostatic nature of the dynamics at play. 1 Aim The aim of this exercise is to simulate mixing at the density interface of a two-layer vertical shear fluid. 2 Task Description Consider a vertical ocean slice of 500 m in length and 100 m in depth with cyclic lateral boundaries (see below) and grid spacings of Δx = 5 m and Δz = 2 m.
7 gives the erroneous impression we are dealing with a multi-layer model. 5 Exercise 3: Short Surface Gravity Waves 33 Fig. 7 Exercise 3. Horizontal distribution of dynamic pressure (contours), expressed by equivalent sea-level elevations (q/(ρo g)), for the upper 20 levels of the water column after 100 secs of simulation. Elevations are magnified by a factor of 5. The top line shows the sea surface Fig. 8 Exercise 3. Dynamic pressure field, divided by ρo g, in units of metres after 80 secs of simulation.