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arXiv · 1807.05695

An analysis of over-relaxation in kinetic approximation

Florence Drui·Emmanuel Franck·Philippe Helluy·Laurent Navoret
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Abstract

The over-relaxation approach is an alternative to the Jin-Xin relaxation method (Jin and Xin [1]) in order to apply the equilibrium source term in a more precise way (Coulette et al. [2, 3]). This is also a key ingredient of the Lattice-Boltzmann method for achieving second order accuracy (Dellar [4]). In this work we provide an analysis of the over-relaxation kinetic scheme. We compute its equivalent equation, which is particularly useful for devising stable boundary conditions for the hidden kinetic variables.

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Florence Drui, Emmanuel Franck, Philippe Helluy, Laurent Navoret. 2018-07-16. An analysis of over-relaxation in kinetic approximation. https://arxiv.org/abs/1807.05695

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