Abstract
In that paper, we show that the technic of kinetic schemes previously used in cartesian geometry to solve the compressible Euler equations can be naturally applied to axisymmetrical and spherical geometries. Indeed, we show that it is easy to build an explicit monodimensionnal axisymmetrical or spherical kinetic scheme which preserves the positivity of the density and of the internal energy under a CFL criteria.
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Dellacherie, S. (2001). About Kinetic Schemes Built in Axisymmetrical and Spherical Geometries. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_24
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DOI: https://doi.org/10.1007/978-1-4615-0663-8_24
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-5183-2
Online ISBN: 978-1-4615-0663-8
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