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Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping

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L. J. Dursi, M. Zingale

Astrophysics · Submitted 31 Oct 2003

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

The authors' main claim Potential efficiency benefits from TR on these meshes are seen to be quite limited except in the case of refining a small number of points on a large mesh -- in this case, the benefit can be made arbitrarily large, albeit at the expense of spatial refinement efficiency.

how it is stated · asserted 0.67 read the record →

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arXiv IDastro-ph/0310891 (version 1)
Pith ID7XZW4Q47, Pith's permanent record of this paper and its review
CitationL. J. Dursi, M. Zingale. "Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping." arXiv:astro-ph/0310891 (2003). https://pith.science/paper/7XZW4Q47
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,359 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.83 · human participants 0.01 · controlled comparison 0.15 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.13 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Block-structured AMR meshes are often used in astrophysical fluid simulations, where the geometry of the domain is simple. We consider potential efficiency gains for time sub-cycling, or time refinement (TR), on Berger-Collela and oct-tree AMR meshes for explicit or local physics (such as explict hydrodynamics), where the work per block is roughly constant with level of refinement. We note that there are generally many more fine zones than there are coarse zones. We then quantify the natural result that any overall efficiency gains from reducing the amount of work on the relatively few coarse zones must necessarily be fairly small. Potential efficiency benefits from TR on these meshes are seen to be quite limited except in the case of refining a small number of points on a large mesh -- in this case, the benefit can be made arbitrarily large, albeit at the expense of spatial refinement efficiency.

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 Block-structured AMR meshes are often used in astrophysical fluid simulations, where the geometry of the domain is simple. background 1.00 0.05 0.02 asserted 0.89
s1 We consider potential efficiency gains for time sub-cycling, or time refinement (TR), on Berger-Collela and oct-tree AMR meshes for explicit or local physics (such as explict hydrodynamics), where the work per block is roughly constant with level of refinement. contribution 0.95 0.28 0.07 hedged possibility 0.81
s2 We note that there are generally many more fine zones than there are coarse zones. background 0.85 0.18 0.03 asserted 0.98
s3 We then quantify the natural result that any overall efficiency gains from reducing the amount of work on the relatively few coarse zones must necessarily be fairly small. result 0.62 0.67 0.42 asserted 0.97
s4 Potential efficiency benefits from TR on these meshes are seen to be quite limited except in the case of refining a small number of points on a large mesh -- in this case, the benefit can be made arbitrarily large, albeit at the expense of spatial refinement efficiency. result 0.89 0.78 0.80 asserted 0.67

What kind of paper the classifier reports this is: theoretical result 0.89 · evidence from argument 0.85.

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

Block-structured AMR meshes are often used in astrophysical fluid simulations, where the geometry of the domain is simple. We consider potential efficiency gains for time sub-cycling, or time refinement (TR), on Berger-Collela and oct-tree AMR meshes for explicit or local physics (such as explict hydrodynamics), where the work per block is roughly constant with level of refinement. We note that there are generally many more fine zones than there are coarse zones. We then quantify the natural result that any overall efficiency gains from reducing the amount of work on the relatively few coarse zones must necessarily be fairly small. Potential efficiency benefits from TR on these meshes are seen to be quite limited except in the case of refining a small number of points on a large mesh -- in this case, the benefit can be made arbitrarily large, albeit at the expense of spatial refinement efficiency.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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