By Jochen Kämpf
This ebook introduces the reader to complicated tools utilized in the computer-based modelling of fluid techniques. This contains nonhydrostatic tactics corresponding to breaking inner waves and density-driven convection, however the version code is additionally used to simulate an El-Niño occasion! The ebook comprises 25 functional workouts, utilizing freely to be had Open-Source software program suites, that are popular via the medical group. during this booklet, 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 photos. version codes and animation scripts for all routines are provided on an internet site. The reader can undertake version codes for personal autonomous studies
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Additional resources 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.
Pointer values are specified at pressure grid points. Zero-gradient conditions for dynamic pressure need to be implemented at all solid surfaces. This is done implicitly by setting the respective coefficients in the Poisson equation (Eq. R. iteration exclusively in wet grid cells. Note that calculation of new velocity components is restricted to wet grid points excluding those defining a solid surface (see Fig. 3). The folder “Miscellaneous/Exercise 3 Variation” on the book’s ftp site contains the modified model code.
9 Exercise 5: Internal Waves 47 Fig. 20 Initial density distribution (shading and contours) and bathymetry for Exercise 5 near the left boundary (Fig. 20). 1 s−1 . Surface density is set to ρs = 1,028 kg/m3 . The minimum period of internal waves according to Eq. 54) is about 63 s. Such a strong density stratification does rarely exist in the ocean. The sole purpose here is to minimise the total simulation time whilst capturing about 10 wave periods. An initial density disturbance is added in the centre of the model domain over a width of 25 m (five adjacent grid cells).