By Jochen Kämpf
This e-book introduces the reader to complex equipment utilized in the computer-based modelling of fluid procedures. This comprises nonhydrostatic tactics comparable to breaking inner waves and density-driven convection, however the version code can be used to simulate an El-Niño occasion! The ebook includes 25 useful workouts, utilizing freely to be had Open-Source software program suites, that are general through the medical neighborhood. during this ebook, the artwork of hydrodynamic modelling is made on hand and obvious to a much wider 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 reliant studies
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Additional info for Advanced Ocean Modelling: Using Open-Source Software
Vertical boundaries (sea surface and sea floor) do not permit such large-amplitude vertical oscillations. Consequently, vertical velocity inherent with internal waves has to vanish at the sea floor and it has to become very small at the sea surface. Since the resultant waves can only propagate horizontally, the vertical boundaries operate as a waveguide. Only a discrete set of wave solutions, so-called normal modes, satisfies the conditions of vanishing vertical velocity at vertical boundaries.
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. Notice that the vertical speed of wave motions exceeds 40 cm/s. 48 3 Basics of Nonhydrostatic Modelling Fig. 21 Exercise 5. 8 min of simulation Fig. 22 Exercise 5. 4 Additional Exercise for the Reader Place the initial density anomaly in the shallower region and explore the resultant wave patterns.
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.