An analysis of over-relaxation in a kinetic approximation of systems of conservation laws |
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| Authors: | Florence Drui Emmanuel Franck Philippe Helluy Laurent Navoret |
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| Affiliation: | IRMA, Université de Strasbourg & Inria Tonus, France |
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| Abstract: | The over-relaxation approach is an alternative to the Jin–Xin relaxation method in order to apply the equilibrium source term in a more precise way. This is also a key ingredient of the lattice Boltzmann method for achieving second-order accuracy. 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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| Keywords: | Kinetic relaxation Equivalent equation Boundary conditions Asymptotic preserving |
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