Finite Element Three-Dimensional Formulation of a Variational Procedure of Wind Field Adjustment Over a Domain of Complex Topography

Caneill, Jean-Yves; Granier, J. P.; Rosset, R.; Racher, P.

doi:10.1007/978-94-009-4972-0_37

Cited by 2 publications

(2 citation statements)

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“…Several numerical methods have been proposed to characterize wind-velocity including radial basis functions (RBFs; Hickernell and Hon, 1998; Montalvo et al, 2015), the finite difference method (FDM; Hacène et al, 2012; Montero and Sanın, 2001), and the finite element method (FEM; Caneill et al, 1984; Huang et al, 2011; Montero et al, 1998; Pepper and Wang, 2009; Winter et al, 1995), among others. Each of the aforementioned methods are domain-based and as such the data structure of the models will scale as O ( L 3 ) where L is the characteristic length of the domain of interest.…”

Section: Introductionmentioning

confidence: 99%

Green’s function–based surrogate model for windfields using limited samples

2017

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There exists many applications for which wind-velocity is desired over a three-dimensional space. The vector field associated with these wind velocities is known as a "windfield" or "velocity-windfield." The present work provides a fast method to characterize windfields. The approach uses the free-space Green's function for potential theory as an inexpensive surrogate model in lieu of either complicated physics-based models or other types of surrogate models, both of which require volumetric discretizations for the three-dimensional case. Using the gradient of the third Green's identity, the wind-velocity in the interior of a domain is entirely characterized by a surface discretization while still providing a three-dimensional model. The unknown densities on the surface are determined from enforcement of the interior form of the identity at arbitrary points coinciding with wind measurements taken by unmanned aerial vehicles. Numerical results support the feasibility of the method.

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Section: Introductionmentioning

confidence: 99%

Green’s function–based surrogate model for windfields using limited samples

2017

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“…In the past, the Methods of Finite Differences and Finite Elements have proved to be a useful tool for the computation of wind fields (see Adell et al, 1987;Caneill et al, 1984;Fraga et al, 1985;Sherman, 1978).…”

Section: Introduci'ionmentioning

confidence: 99%