Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension

2023/05/10 by Ido Lavi, Lavi, Ido, Nicolas Meunier +3
Mathematics · Physics and Astronomy · #49M15 #49M25 #76D27 #Advanced Condensed Matter Physics #FOS: Mathematics #Numerical Analysis (math.NA) #Spectral Theory in Mathematical Physics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2305.06180

openalex publication_date 2023/05/10 · openalex created_date 2023/05/12 · openalex updated_date 2026/08/01

Abstract

In this work, we propose and compare three numerical methods to handle the one-phase Hele-Shaw problem with surface tension in dimension two by using three variational approaches in the spirit of the seminal works \citeOtto, Gia_Otto.

Citations

• Volume of fluid (VOF) method for the dynamics of free boundaries

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