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Preprints, Working Papers, ... Year : 2011

A Discontinuous Galerkin semi-Lagrangian solver for the guiding-center problem

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Abstract

In this paper, we test an innovative numerical scheme for the simulation of the guiding-center model, of interest in the domain of plasma physics, namely for fusion devices. We propose a 1D Discontinuous Galerkin (DG) discretization, whose basis are the Lagrange polynomials interpolating the Gauss points inside each cell, coupled to a conservative semi-Lagrangian (SL) strategy. Then, we pass to the 2D setting by means of a second-order Strangsplitting strategy. In order to solve the 2D Poisson equation on the DG discretization, we adapt the spectral strategy used for equally-spaced meshes to our Gauss-point-based basis. The 1D solver is validated on a standard benchmark for the nonlinear advection; then, the 2D solver is tested against the swirling deformation ow test case; nally, we pass to the simulation of the guiding-center model, and compare our numerical results to those given by the Backward Semi-Lagrangian method.
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Dates and versions

hal-00717155 , version 1 (12-07-2012)

Identifiers

  • HAL Id : hal-00717155 , version 1

Cite

Nicolas Crouseilles, Michel Mehrenberger, Francesco Vecil. A Discontinuous Galerkin semi-Lagrangian solver for the guiding-center problem. 2012. ⟨hal-00717155⟩
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