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Prediction of shock structure using the bimodal distribution function

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Maxim A. Solovchuk, Tony W. H. Sheu

Fluid Dynamics · Submitted 31 Dec 2010

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

The authors' main claim The density, temperature, heat flux profiles and shock thickness calculated at different Mach numbers have been shown to have good agreement with the experimental and DSMC solutions.

how it is stated · asserted 1.00 read the record →

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arXiv ID1101.0188 (version 1)
Pith IDVSH67YU6, Pith's permanent record of this paper and its review
CitationMaxim A. Solovchuk, Tony W. H. Sheu. "Prediction of shock structure using the bimodal distribution function." arXiv:1101.0188 (2010). https://pith.science/paper/VSH67YU6
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,255 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.27 · randomized assignment 0.01 · states quantitative result 0.66 · 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; .

A modification of Mott-Smith method for predicting the one-dimensional shock wave solution is presented. Mott-Smith distribution function is used to construct the system of moment equations to study the steady-state structure of shock wave in a gas of Maxwell molecules and in argon. The predicted shock solutions using the newly proposed formalism are compared with the experimental data, direct-simulation Monte Carlo (DSMC) solution and the solutions predicted by other existing theories for Mach numbers M<11. The density, temperature, heat flux profiles and shock thickness calculated at different Mach numbers have been shown to have good agreement with the experimental and DSMC solutions. In addition, the predicted shock thickness is in good agreement with the DSMC simulation result at low Mach numbers.

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 A modification of Mott-Smith method for predicting the one-dimensional shock wave solution is presented. contribution 0.98 0.90 0.08 asserted 0.99
s1 Mott-Smith distribution function is used to construct the system of moment equations to study the steady-state structure of shock wave in a gas of Maxwell molecules and in argon. method 0.97 0.83 0.04 asserted 0.98
s2 The predicted shock solutions using the newly proposed formalism are compared with the experimental data, direct-simulation Monte Carlo (DSMC) solution and the solutions predicted by other existing theories for Mach numbers M<11. method 0.60 0.84 0.09 asserted 0.78
s3 The density, temperature, heat flux profiles and shock thickness calculated at different Mach numbers have been shown to have good agreement with the experimental and DSMC solutions. result 0.99 0.92 0.62 asserted 1.00
s4 In addition, the predicted shock thickness is in good agreement with the DSMC simulation result at low Mach numbers. result 0.97 0.91 0.20 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.98 · evidence from simulation or computation 0.81.

What was examined, and what was not

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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

A modification of Mott-Smith method for predicting the one-dimensional shock wave solution is presented. Mott-Smith distribution function is used to construct the system of moment equations to study the steady-state structure of shock wave in a gas of Maxwell molecules and in argon. The predicted shock solutions using the newly proposed formalism are compared with the experimental data, direct-simulation Monte Carlo (DSMC) solution and the solutions predicted by other existing theories for Mach numbers M<11. The density, temperature, heat flux profiles and shock thickness calculated at different Mach numbers have been shown to have good agreement with the experimental and DSMC solutions. In addition, the predicted shock thickness is in good agreement with the DSMC simulation result at low Mach numbers.

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