Conservative discretization of the Landau collision integral

Eero Hirvijoki; Mark Adams

doi:10.1063/1.4979122

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arXiv · 1611.07881

Conservative discretization of the Landau collision integral

Eero Hirvijoki·Mark Adams

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Abstract

We describe a density-, momentum-, and energy-conserving discretization of the nonlinear Landau collision integral. The method is suitable for both the finite-element and discontinuous Galerkin methods and does not require structured meshes. The conservation laws for the discretization are proven algebraically and demonstrated numerically for an axially symmetric nonlinear relaxation problem using a finite-element implementation.

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Eero Hirvijoki, Mark Adams. 2017-03-08. Conservative discretization of the Landau collision integral. https://doi.org/10.1063/1.4979122

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