Derivation of 13 Moment Equations for Rarefied Gas Flow to Second Order Accuracy for Arbitrary Interaction Potentials

@article{Struchtrup2005DerivationO1,
  title={Derivation of 13 Moment Equations for Rarefied Gas Flow to Second Order Accuracy for Arbitrary Interaction Potentials},
  author={Henning Struchtrup},
  journal={Multiscale Model. Simul.},
  year={2005},
  volume={3},
  pages={221-243}
}
A recent approach to derive transport equations for rarefied gases from the Boltzmann equation within higher orders of the Knudsen number [H. Struchtrup, Phys. Fluids, 16 (2004), pp. 3921--3934] is used to derive a set of 13 moment equations for arbitrary molecular interaction potentials. It is shown that the new set of equations is accurate to second order, while Grad's original 13 moment equations are of second order accuracy only for Maxwell molecules and Bhatnagar--Gross--Krook models. 

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