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Pré-Publication, Document De Travail Année : 2017

An explicit energy-momentum conserving time-integration scheme for Hamiltonian dynamics

Résumé

We propose a new explicit energy-momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is based on two key ideas: the integration during the time-steps of forces between free-flight particles and the use of momentum jumps at the discrete time nodes leading to a two-step formulation for the acceleration. Moreover, the scheme can be used in the framework of slow-fast strategies. The scheme is validated against classical benchmarks and on a nonlinear wave propagation problem.
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Dates et versions

hal-01661608 , version 1 (12-12-2017)
hal-01661608 , version 2 (15-12-2017)
hal-01661608 , version 3 (08-11-2018)
hal-01661608 , version 4 (09-01-2019)
hal-01661608 , version 5 (09-01-2019)

Identifiants

  • HAL Id : hal-01661608 , version 2

Citer

Frédéric Marazzato, Alexandre Ern, Christian Mariotti, Laurent Monasse. An explicit energy-momentum conserving time-integration scheme for Hamiltonian dynamics. 2017. ⟨hal-01661608v2⟩
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