Abstract.
The examination of the particle model of compressible fluids that has been developed by the author [Numer. Math. (1997) 76: 111–142] and that has recently been extended to particles of variable size [Numer. Math. (1999) 82: 143–159], is continued. It is shown that, in the limit of particle sizes tending to zero, both the mass density and the mass flux density and the entropy density and the entropy flux density converge in the weak sense and satisfy the corresponding conservation laws. To incorporate entropy generation in shocks, a new kind of viscous force is introduced.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received November 22, 1996 / Revised version received March 30, 1998
Rights and permissions
About this article
Cite this article
Yserentant, H. Entropy generation and shock resolution in the particle model of compressible fluids. Numer. Math. 82, 161–177 (1999). https://doi.org/10.1007/s002110050415
Issue Date:
DOI: https://doi.org/10.1007/s002110050415