Work

A Mathematical Model for Wind Velocity Field Reconstruction and Visualization Taking into Account the Topography Influence

Year: 2024

Type: article

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.

Source: Journal of Imaging

DOI: 10.3390/jimaging10110285

Authors: Guzel Khayretdinova, Christian Gout

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Mathématiques de l'INSA de Rouen, Institut National des Sciences Appliquées Rouen Normandie, University of Hawaiʻi at Mānoa

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,046