Pith. Sign in

RECORD

Scaling properties of viscous fingering

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Bertrand Lagrée, Stéphane Zaleski, Igor Bondino, Christophe Josserand, Stéphane Popinet

Fluid Dynamics · Submitted 31 Oct 2014

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the area $A$ of a viscous-fingering cluster varies as a simple power law $A \sim L^{\alpha}$ of its interface length $L$.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1410.8659 (version 1)
Pith IDM53CGE5U, Pith's permanent record of this paper and its review
CitationBertrand Lagr\'ee, Christophe Josserand, Igor Bondino, St\'ephane Popinet, St\'ephane Zaleski. "Scaling properties of viscous fingering." arXiv:1410.8659 (2014). https://pith.science/paper/M53CGE5U
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,189 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.27 · randomized assignment 0.01 · states quantitative result 0.26 · compares with prior results 0.98 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We present a study of viscous fingering using the Volume Of Fluid method and a central injection geometry, assuming a Laplacian field and a simple surface tension law. As in experiments we see branched structures resulting from the Saffman-Taylor instability. We find that the area $A$ of a viscous-fingering cluster varies as a simple power law $A \sim L^{\alpha}$ of its interface length $L$. Our results are compared to previously published simulations in which the viscosity of the invading fluid is vanishing. We find differences in exponent $\alpha$ and in the appearance of detached droplets and bubbles.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present a study of viscous fingering using the Volume Of Fluid method and a central injection geometry, assuming a Laplacian field and a simple surface tension law. method 0.76 0.91 0.03 asserted 0.95
s1 As in experiments we see branched structures resulting from the Saffman-Taylor instability. result 0.98 0.78 0.04 asserted 1.00
s2 We find that the area $A$ of a viscous-fingering cluster varies as a simple power law $A \sim L^{\alpha}$ of its interface length $L$. result 1.00 0.97 0.76 asserted 1.00
s3 Our results are compared to previously published simulations in which the viscosity of the invading fluid is vanishing. background 0.42 0.23 0.04 asserted 0.94
s4 We find differences in exponent $\alpha$ and in the appearance of detached droplets and bubbles. result 1.00 0.94 0.21 asserted 1.00

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We present a study of viscous fingering using the Volume Of Fluid method and a central injection geometry, assuming a Laplacian field and a simple surface tension law. As in experiments we see branched structures resulting from the Saffman-Taylor instability. We find that the area $A$ of a viscous-fingering cluster varies as a simple power law $A \sim L^{\alpha}$ of its interface length $L$. Our results are compared to previously published simulations in which the viscosity of the invading fluid is vanishing. We find differences in exponent $\alpha$ and in the appearance of detached droplets and bubbles.

Human review

How Pith checks papers → · Full audit of this paper →

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.