Saffman-Taylor fingers at intermediate noise

Dan Shafir, David A. Kessler

Research output: Contribution to journalArticlepeer-review

Abstract

We study Saffman-Taylor flow in the presence of intermediate noise numerically by using both a boundary-integral approach as well as the Kadanoff-Liang modified diffusion-limited aggregation model that incorporates surface tension and reduced noise. For little to no noise, both models reproduce the well-known Saffman-Taylor finger. We compare both models in the region of intermediate noise, where we observe occasional tip-splitting events, focusing on the ensemble-average. We show that as the noise in the system is increased, the mean behavior in both models approaches the cos2(πy/W) transverse density profile far behind the leading front. We also investigate how the noise scales and affects both models.

Original languageEnglish
Article number063107
JournalPhysical Review E
Volume102
Issue number6
DOIs
StatePublished - 28 Dec 2020

Bibliographical note

Publisher Copyright:
© 2020 American Physical Society.

Funding

This work was supported in part by the Israel Science Foundation, Grant No. 1898/17.

FundersFunder number
Israel Science Foundation1898/17

    Fingerprint

    Dive into the research topics of 'Saffman-Taylor fingers at intermediate noise'. Together they form a unique fingerprint.

    Cite this