PreprintarXiv licencearXiv
A continuum model of a diffusive compressible gas - Kinetic theory and real gases
Abstract
Using kinetic theory of gases, we derive the diffusive compressible Euler (dcE) model for ideal gases. The derivation covers all steps from the particle description of a gas, to macroscopic averages, to a discrete system of conservative balance equations in finite volumes, to the system of partial dif- ferential equations. Along the way, we discuss the modelling assumptions, and derive approximations of the diffusion coefficient. In the next part, we discuss the modifications needed to model real gases. In particular, we propose a tentative model for intermolecular friction forces.
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BibTeX
@misc{svard2026continuum,
title = {{A continuum model of a diffusive compressible gas - Kinetic theory and real gases}},
author = {Magnus Svärd},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07738},
eprint = {2611.07738},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07738},
}
RIS
TY - UNPB
TI - A continuum model of a diffusive compressible gas - Kinetic theory and real gases
AU - Magnus Svärd
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07738
UR - https://arxiv.org/abs/2611.07738
AB - Using kinetic theory of gases, we derive the diffusive compressible Euler (dcE) model for ideal gases. The derivation covers all steps from the particle description of a gas, to macroscopic averages, to a discrete system of conservative balance equations in finite volumes, to the system of partial dif- ferential equations. Along the way, we discuss the modelling assumptions, and derive approximations of the diffusion coefficient. In the next part, we discuss the modifications needed to model real gases. In particular, we propose a tentative model for intermolecular friction forces.
ER -