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Exact solutions for the discrete Boltzmann models with specular reflection

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Abstract

We construct exact (1+1)-dimensional solutions (space x, time t), in the presence of a purely reflecting well, for both the four velocity discrete Boltzmann model and the Broadwell model. These exact solutions, sums of two similarity shock waves, are positive for x≥0, t≥0.

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References

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Cornille, H. Exact solutions for the discrete Boltzmann models with specular reflection. Lett Math Phys 16, 245–250 (1988). https://doi.org/10.1007/BF00398961

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  • DOI: https://doi.org/10.1007/BF00398961

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