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 language | English |
---|---|
Article number | 063107 |
Journal | Physical Review E |
Volume | 102 |
Issue number | 6 |
DOIs | |
State | Published - 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.
Funders | Funder number |
---|---|
Israel Science Foundation | 1898/17 |