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Article Dans Une Revue Computer Physics Communications Année : 2018

An exponential integrator for the drift-kinetic model

Résumé

In this paper we propose an exponential integrator for the drift-kinetic equations in polar geometry. This approach removes the CFL condition from the linear part of the system (which is often the most stringent requirement in practice) and treats the remainder explicitly using Arakawa's finite difference scheme. The present approach is mass conservative, up to machine precision, and significantly reduces the computational effort per time step. In addition, we demonstrate the efficiency of our method by performing numerical simulations in the context of the ion temperature gradient instability. In particular, we find that our numerical method can take time steps comparable to what has been reported in the literature for the (predominantly used) splitting approach. In addition, the proposed numerical method has significant advantages with respect to conservation of energy and efficient higher order methods can be obtained easily. We demonstrate this by investigating the performance of a fourth order implementation.

Dates et versions

hal-01538450 , version 1 (13-06-2017)

Identifiants

Citer

Nicolas Crouseilles, Lukas Einkemmer, Martina Prugger. An exponential integrator for the drift-kinetic model. Computer Physics Communications, 2018, 224, pp.144-153. ⟨10.1016/j.cpc.2017.11.003⟩. ⟨hal-01538450⟩
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