Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Dina Razafindralandy"'
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 6, Iss 1, Pp 1-29 (2019)
Abstract This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. Their stability on exponentially large time is shown through n
Externí odkaz:
https://doaj.org/article/9d43b92bfaa743688c49c4fceba75af1
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 5, Iss 1, Pp 1-67 (2018)
Abstract Some of the most important geometric integrators for both ordinary and partial differential equations are reviewed and illustrated with examples in mechanics. The class of Hamiltonian differential systems is recalled and its symplectic struc
Externí odkaz:
https://doaj.org/article/c2de374038534dafa3ab7e1b96ba9f09
Publikováno v:
Symmetry, Vol 2, Iss 2, Pp 848-867 (2010)
In this work, the non-isothermal Navier–Stokes equations are studied from the group theory point of view. The symmetry group of the equations is presented and discussed. Some standard turbulence models are analyzed with the symmetries of the equati
Externí odkaz:
https://doaj.org/article/b4ee9484eb2d4c06b84819a8203743c8
Autor:
Dina Razafindralandy, Aziz Hamdouni
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 052 (2006)
Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, ...), symmetries are used to analyse common turbulence models. A class of symmetry preserving turbulence models is proposed.
Externí odkaz:
https://doaj.org/article/ac33f091e17a44669fd698877c2d305e
Publikováno v:
Applied Mathematics and Computation. 426:127118
Publikováno v:
Communications on Pure & Applied Analysis
Communications on Pure & Applied Analysis, American Institute of Mathematical Sciences (AIMS) 2021, 20 (6), pp.2155. ⟨10.3934/cpaa.2021062⟩
Communications on Pure & Applied Analysis, American Institute of Mathematical Sciences (AIMS) 2021, 20 (6), pp.2155. ⟨10.3934/cpaa.2021062⟩
This article introduces a new and general construction of discrete Hodge operator in the context of Discrete Exterior Calculus (DEC). This discrete Hodge operator permits to circumvent the well-centeredness limitation on the mesh with the popular dia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b53e005ecdd7ec80ad6ce4202e5eae1
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences
Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2019, 6 (1), ⟨10.1186/s40323-019-0130-2⟩
Advanced Modeling and Simulation in Engineering Sciences, Vol 6, Iss 1, Pp 1-29 (2019)
Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2019, 6 (1), ⟨10.1186/s40323-019-0130-2⟩
Advanced Modeling and Simulation in Engineering Sciences, Vol 6, Iss 1, Pp 1-29 (2019)
This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. Their stability on exponentially large time is shown through numerical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93d4849bf96ecf9e5f44206ad18711f0
https://hal.archives-ouvertes.fr/hal-02093310
https://hal.archives-ouvertes.fr/hal-02093310
Publikováno v:
Discrete and Continuous Dynamical Systems-Series S
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2016, 9 (2), pp.393-408. ⟨10.3934/dcdss.2016003⟩
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2016, 9 (2), pp.393-408. ⟨10.3934/dcdss.2016003⟩
International audience; We compare the performance of two algorithms of computing the Borel sum of a time power series. The first one uses Padé approximants in Borel space, followed by a Laplace transform. The second is based on factorial series. Th
Publikováno v:
AIP Conference Proceedings
AIP Conference Proceedings, American Institute of Physics, 2017, ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, 1798, ⟨10.1063/1.4972721⟩
AIP Conference Proceedings, American Institute of Physics, 2017, ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, 1798, ⟨10.1063/1.4972721⟩
A time integration method of a dynamical system, based on a (possibly divergent) time series decomposition of the solution, followed by a Borel summation using an inverse factorial series, is examined. The stress is put on the robustness of inverse f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fda56911575c66ae80506539f54f287c
https://hal.archives-ouvertes.fr/hal-02086675
https://hal.archives-ouvertes.fr/hal-02086675
Autor:
Dina Razafindralandy, Aziz Hamdouni
Publikováno v:
Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2013, 236, pp.56-73. ⟨10.1016/j.jcp.2012.10.022⟩
Journal of Computational Physics, Elsevier, 2013, 236, pp.56-73. ⟨10.1016/j.jcp.2012.10.022⟩
International audience; Borel's technique of divergent series resummation is transformed into a numerical code and used as a time integration scheme. It is applied to the resolution of regular and singular problems arising in fluid mechanics. Its eff