<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The general family of Galerkin variational integrators are analyzed and a complete classification of such methods is proposed. This classification is based upon the type of basis function chosen to approximate the trajectories of material points and the numerical quadrature formula used in time. This approach leads to the definition of arbitrarily high order method in time. The proposed methodology is applied to the simulation of brownout phenomena occurring in helicopter take-off and landing.</p></abstract>

The general family of Galerkin variational integrators are analyzed and a complete classification of such methods is proposed. This classification is based upon the type of basis function chosen to approximate the trajectories of material points and the numerical quadrature formula used in time. This approach leads to the definition of arbitrarily high order method in time. The proposed methodology is applied to the simulation of brownout phenomena occurring in helicopter take-off and landing.

High-Order Variational Time Integrators for Particle Dynamics

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"High-Order Variational Time Integrators for Particle Dynamics"}

The general family of Galerkin variational integrators are analyzed and a complete classification of such methods is proposed. This classification is based...

High-Order Variational Time Integrators for Particle Dynamics

Publié en ligne: 19 déc. 2018

Pages: 34 - 49

Reçu: 14 oct. 2016

Accepté: 04 oct. 2018

DOI: https://doi.org/10.2478/caim-2018-0015

Mots clés
Variational integrators, Galerkin method, particle dynamics

© 2018 E. Miglio, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

High-Order Variational Time Integrators for Particle Dynamics

Publié en ligne: 19 déc. 2018

Pages: 34 - 49

Reçu: 14 oct. 2016

Accepté: 04 oct. 2018

DOI: https://doi.org/10.2478/caim-2018-0015

Mots clésVariational integrators, Galerkin method, particle dynamics

© 2018 E. Miglio, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Variational integrators, Galerkin method, particle dynamics