This page has only limited features, please log in for full access.

Unclaimed
G. Dufour
Office National d’Etudes et de Recherches Aérospatiales (ONERA), 31000 Toulouse, France

Basic Info

Basic Info is private.

Honors and Awards

The user has no records in this section


Career Timeline

The user has no records in this section.


Short Biography

The user biography is not available.
Following
Followers
Co Authors
The list of users this user is following is empty.
Following: 0 users

Feed

Journal article
Published: 10 September 2018 in Mathematical and Computational Applications
Reads 0
Downloads 0

Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. Navigation functions designed specifically to produce flyable trajectories have been previously considered, but lack the robustness to uncertain weather conditions needed for use in an operational context. These uncertainties can be taken into account be modifying the boundary of the domain on which the navigation function is computed. In the following work, we present a method for efficiently taking into account boundary variations, using the Hadamard variation.

ACS Style

Isabelle Santos; Stéphane Puechmorel; Guillaume Dufour. First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World. Mathematical and Computational Applications 2018, 23, 48 .

AMA Style

Isabelle Santos, Stéphane Puechmorel, Guillaume Dufour. First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World. Mathematical and Computational Applications. 2018; 23 (3):48.

Chicago/Turabian Style

Isabelle Santos; Stéphane Puechmorel; Guillaume Dufour. 2018. "First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World." Mathematical and Computational Applications 23, no. 3: 48.

Preprint
Published: 07 August 2018
Reads 0
Downloads 0

Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. 1 Navigation functions designed specifically to produce flyable trajectories have been previously 2 considered, but lack the robustness to uncertain weather conditions needed for use in an operational 3 context. These uncertainties can be taken into account be modifying the boundary of the domain 4 on which the navigation function is computed. In the following work, we present a method for 5 efficiently taking into account boundary variations, using the Hadamard variation. 6

ACS Style

Isabelle Santos; Stéphane Puechmorel; Guillaume Dufour. First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World. 2018, 1 .

AMA Style

Isabelle Santos, Stéphane Puechmorel, Guillaume Dufour. First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World. . 2018; ():1.

Chicago/Turabian Style

Isabelle Santos; Stéphane Puechmorel; Guillaume Dufour. 2018. "First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World." , no. : 1.

Journal article
Published: 03 May 2018 in Aerospace
Reads 0
Downloads 0

Resilience to uncertainties must be ensured in air traffic management. Unexpected events can either be disruptive, like thunderstorms or the famous volcano ash cloud resulting from the Eyjafjallajökull eruption in Iceland, or simply due to imprecise measurements or incomplete knowledge of the environment. While human operators are able to cope with such situations, it is generally not the case for automated decision support tools. Important examples originate from the numerous attempts made to design algorithms able to solve conflicts between aircraft occurring during flights. The STARGATE (STochastic AppRoach for naviGATion functions in uncertain Environment) project was initiated in order to study the feasibility of inherently robust automated planning algorithms that will not fail when submitted to random perturbations. A mandatory first step is the ability to simulate the usual stochastic phenomenons impairing the system: delays due to airport platforms or air traffic control (ATC) and uncertainties on the wind velocity. The work presented here will detail algorithms suitable for the simulation task.

ACS Style

Stephane Puechmorel; Guillaume Dufour; Romain Fèvre. Simulation of Random Events for Air Traffic Applications. Aerospace 2018, 5, 53 .

AMA Style

Stephane Puechmorel, Guillaume Dufour, Romain Fèvre. Simulation of Random Events for Air Traffic Applications. Aerospace. 2018; 5 (2):53.

Chicago/Turabian Style

Stephane Puechmorel; Guillaume Dufour; Romain Fèvre. 2018. "Simulation of Random Events for Air Traffic Applications." Aerospace 5, no. 2: 53.

Journal article
Published: 27 March 2009 in Mathematical and Computer Modelling
Reads 0
Downloads 0

The purpose of this paper is to propose a new model based on an asymptotic analysis for the modelling of steady wire-to-wire corona discharges. The concept consists in dividing the discharges into regions of two kinds: two thin ionization layers at the vicinity of the electrodes and a much larger ion-drift region. Introducing the length of the ionization layer ε and using an asymptotic analysis to define a truncated system, a simplified kinetic can be considered for each region which allows finding quasi-analytical solutions. The method is validated by comparison with a classical scheme and the results show good agreement with experiments. Finally, an example of parametric study of the discharge is presented. Indeed, the ability of the model to provide solutions at low computational cost allows quickly performing such a study and could be useful to experimenters in order to suggest new geometric settings or experimental setups.

ACS Style

P. Seimandi; G. Dufour; F. Rogier. An asymptotic model for steady wire-to-wire corona discharges. Mathematical and Computer Modelling 2009, 50, 574 -583.

AMA Style

P. Seimandi, G. Dufour, F. Rogier. An asymptotic model for steady wire-to-wire corona discharges. Mathematical and Computer Modelling. 2009; 50 (3-4):574-583.

Chicago/Turabian Style

P. Seimandi; G. Dufour; F. Rogier. 2009. "An asymptotic model for steady wire-to-wire corona discharges." Mathematical and Computer Modelling 50, no. 3-4: 574-583.