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An expedition in three dimensions
It’s a considerable step forward, as much for the applied sciences as for oceanography. Jean-Marie Beckers, a professor at the ULg, Hans Burchard and Richard Hofmeister have developed a numerical model which simulates the oceans’ hydrodynamics. This 3D model is capable of adapting according to the importance of the phenomena being studied. When we think of an oceanographer we can very easily imagine an ersatz Commander Cousteau, flippers screwed to his feet, an oxygen tank strapped on his back, on the quest for new animal species in the dark waters of the oceans’ depths. Jean-Marie Beckers is for his part very far from matching the profile. He is nonetheless a professor in oceanography at the University of Liège’s department of astrophysics, geophysics and oceanography. It is this modelling that we will in particular look into. Jean-Marie
Beckers has just in effect jointly signed off on a publication bringing
to light the development of an adaptive 3D numerical model. To better
unearth the value of such a development, a little step backwards is
required. Numerical modelling is the translation of the laws of physics,
applied to the oceans, into a computer calculation algorithm. Discretisation is also brought into play: to study a unit of ocean
horizontally (in 2D thus), the model’s designer will cut the unit into
several cubes which resemble nothing less than the pixels in a
photograph. At a given moment the water which leaves a cube through one
of its sides enters the adjacent cube and so on. To each of these cubes a
mass assessment as well as Newton’s law is applied. All of the grid’s
cubes are connected between themselves and it is thus possible to
calculate the evolution of the waters in the unit studied. As regards
the allusion to photography it is easy to grasp that the more squares
there are in the grid the more precise will the data be, which improves
the quality of the model. This phenomenon is explained by the reduction
of numerical mixing. ‘The only thing is that reducing the size of the
squares considerably increases the number of calculations to be made,’
stresses the oceanographer, ‘which would require more time, better
technology and thus a higher cost.’ ![]()
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