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A Mathematical Model for Wind Velocity Field Reconstruction and Visualization Taking into Account the Topography
Guzel Khayretdinova1,2, Christian Gout1,2,3
1National Institute for Applied Sciences (INSA Rouen Normandie), Laboratoire de Mathématiques de l'INSA, LMI-UR 3226, 76000 Rouen, France.
Abstract:
In this paper, we propose a global modelling for vector field approximation from a given finite set of vectors (corresponding to the wind velocity field or marine currents). In the modelling, we propose using the minimization on a Hilbert space of an energy functional that includes a fidelity criterion to the data and a smoothing term. We discretize the continuous problem using a finite elements method. We then propose taking into account the topographic effects on the wind velocity field, and visualization using a free library is also proposed, which constitutes an added value compared to other vector field approximation models.
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