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Massively parallel tandem traversal of bounding volume hierarchies for geometric queries on distributed meshes

2025· article· en· W4411081592 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueComputers & Structures · 2025
Typearticle
Languageen
FieldComputer Science
TopicComputational Geometry and Mesh Generation
Canadian institutionsSafran Electronics (Canada)
Fundersnot available
KeywordsPolygon meshTree traversalBounding overwatchComputer scienceParallel computingMassively parallelVolume (thermodynamics)Computational scienceTandemBounding volumeTheoretical computer scienceDistributed computingComputer graphics (images)Collision detectionAlgorithmCollisionPhysicsAerospace engineeringArtificial intelligenceEngineering

Abstract

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The efficient computation of geometric queries on large sets of elements, such as intersections or nearest neighbor searches, is crucial for many applications such as contact detection in mechanics simulations. While hierarchical data structures based on spatial or geometric partitioning have been extensively studied over the past 40 years, research detailing their adaptation to massively distributed environments using the message passing interface library—specifically how the communications are done and optimized for parallel efficiency—remains under-explored. We quantify the impact of various design choices to achieve rapid contact detection in massively distributed simulations using bounding volume hierarchies. The memory layout is optimized by reducing the hierarchy node size and ordering them with an innovative “L-filling curve” pattern. Next, the impact of a tandem traversal algorithm is analyzed, along with the optimal exploration order of both hierarchies’ nodes. The parallelization of this tandem traversal is presented, focusing on balancing message latency and volume to enhance parallel efficiency. These design choices extend to a wide range of applications and data structures. Finally, the algorithm’s strong performance is demonstrated up to 20,000 MPI tasks to handle tens of billions of intersections on very large meshes exceeding 100 billion elements.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.812
Threshold uncertainty score0.825

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.013
GPT teacher head0.260
Teacher spread0.247 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it