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<p>This paper presents a brief analytical and numerical comparison of the compressible Navier–Stokes model and the alternative mass-diffusive models. New symmetrized mass-diffusive model is introduced and discussed in detail. Both the numerical simulations and analytical findings revealed certain differences between the model solutions, suggesting that the mass-diffusive models can only approximate the Navier–Stokes–Fourier system in certain specific flow scenarios. In cases with high density gradients and non-negligible velocity divergence, the differences tend to be more pronounced.</p>

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On the analysis of the symmetrized mass-diffusive model for compressible fluids flows

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月17日

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  • Tomáš Bodnár,
  • Václav Mácha

摘要

This paper presents a brief analytical and numerical comparison of the compressible Navier–Stokes model and the alternative mass-diffusive models. New symmetrized mass-diffusive model is introduced and discussed in detail. Both the numerical simulations and analytical findings revealed certain differences between the model solutions, suggesting that the mass-diffusive models can only approximate the Navier–Stokes–Fourier system in certain specific flow scenarios. In cases with high density gradients and non-negligible velocity divergence, the differences tend to be more pronounced.