Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method

Pavel Shalkevich; Nikita Tsvikevich

doi:10.62762/JNSPM.2025.504999

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Volume 1, Issue 2, Journal of Numerical Simulations in Physics and Mathematics

Volume 1, Issue 2, 2025

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Journal of Numerical Simulations in Physics and Mathematics, Volume 1, Issue 2, 2025: 60-66

Open Access | Research Article | 29 October 2024

Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method

Pavel Shalkevich 1 *

Nikita Tsvikevich 1

1 Chair of Information Technologies in Ecology and Medicine, International Sakharov Environmental Institute of Belarusian State University, Minsk 220070, Belarus

* Corresponding Author: Pavel Shalkevich, [email protected]

DOI: 10.62762/JNSPM.2025.504999

Received: 29 September 2025, Accepted: 12 October 2025, Published: 29 October 2024

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Abstract

The objective of the research was to perform computer simulation of diffusion in a mixture of ideal gases considering the dependence of the diffusion coefficient on the entropy of mixing according to the proposed mathematical model. Computer simulation was carried out in one-dimensional and two-dimensional settings using finite element method and Python programming language with the use of NumPy and SciPy libraries. The obtained results show that the proposed mathematical model of diffusion in a mixture of ideal gases could be used to solve computer simulation tasks of gas diffusion satisfying the principle of mass conservation, because the entropy is considered via the chemical potential.

Graphical Abstract

Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method

Keywords

computer modeling

mathematical modeling

gas diffusion

entropy of gas mixing

chemical potential

finite element method

numerical methods

Data Availability Statement

Data will be made available on request.

Funding

This work was supported without any funding.

Conflicts of Interest

The authors declare no conflicts of interest.

Ethical Approval and Consent to Participate

Not applicable.

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APA Style

Shalkevich, P., & Tsvikevich, N. (2025). Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method. Journal of Numerical Simulations in Physics and Mathematics, 1(2), 60–66. https://doi.org/10.62762/JNSPM.2025.504999

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