Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Research in the Mathematical Sciences

DOI: 10.1007/s40687-025-00522-w

Authors: Tomáš Bodnár, Václav Mácha

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics, Czech Technical University in Prague

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,090

Funders: Grantová Agentura České Republiky, Akademie Věd České Republiky