An energy-stable and conservative numerical method for multicomponent Maxwell–Stefan model with rock compressibility

J Kou, X Wang, H Chen, S Sun - Physics of Fluids, 2023 - pubs.aip.org
Numerical simulation of gas flow in porous media is becoming increasingly attractive due to
its importance in shale and natural gas production and carbon dioxide sequestration. In this …

A convergent entropy diminishing finite volume scheme for a cross-diffusion system

C Cancès, B Gaudeul - SIAM Journal on Numerical Analysis, 2020 - SIAM
We study a two-point flux approximation finite volume scheme for a cross-diffusion system.
The scheme is shown to preserve the key properties of the continuous systems, among …

A dynamic mass transport method for Poisson-Nernst-Planck equations

H Liu, W Maimaitiyiming - Journal of Computational Physics, 2023 - Elsevier
A dynamic mass-transport method is proposed for approximately solving the Poisson–
Nernst–Planck (PNP) equations. The semi-discrete scheme based on the JKO type …

Finite volumes for the Stefan–Maxwell cross-diffusion system

C Cancès, V Ehrlacher… - IMA Journal of Numerical …, 2024 - academic.oup.com
The aim of this work is to propose a provably convergent finite volume scheme for the so-
called Stefan–Maxwell model, which describes the evolution of the composition of a multi …

The Onsager principle and physics preserving numerical schemes

H Chen, H Liu, X Xu - arXiv preprint arXiv:2406.12652, 2024 - arxiv.org
We present a natural framework for constructing energy-stable time discretization schemes.
By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial …

A convergent finite volume scheme for dissipation driven models with volume filling constraint

C Cancès, A Zurek - Numerische Mathematik, 2022 - Springer
In this paper we propose and study an implicit finite volume scheme for a general model
which describes the evolution of the composition of a multi-component mixture in a bounded …

Approximation numérique entropique pour des systèmes de diffusion croisée issus de la physique

B Gaudeul - 2021 - hal.science
Dans cette thèse, on s' intéresse à la modélisation et à l'analyse numérique de systèmes
physiques à diffusion croisée. Les modèles considérés décrivent notamment les …

[PDF][PDF] A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019

NHF Beebe - 2024 - ctan.math.utah.edu
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …