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Record W7133015010

Large eddy simulation using tetrahedral finite elements

2003· dissertation· W7133015010 on OpenAlexfundno aff
German Adolfo Cardenas Casas

Bibliographic record

VenueTSpace · 2003
Typedissertation
Language
FieldEngineering
TopicAdvanced Numerical Methods in Computational Mathematics
Canadian institutionsnot available
FundersUniversity of Toronto
KeywordsDiscretizationHexahedronTetrahedronFinite element methodLarge eddy simulationCompressibilityConjugate gradient methodSolverConvergence (economics)Isotropy
DOInot available

Abstract

fetched live from OpenAlex

A large eddy simulation (LES) code is developed from an existing incompressible Navier-Stokes solver based on the finite element method. Taylor-Hood, [special characters omitted], and Crouzeix-Raviart, [special characters omitted], tetrahedral elements are implemented for the spatial discretization. The time discretization uses a second order accurate, semi-implicit, split time advancement scheme. The semi-implicit scheme employs a backward differentiation time integration scheme for the viscous term and the Adams-Bashforth scheme for the convective term. Convergence results in space and time are reported for the variable viscosity Navier-Stokes solver. The Smagorinsky model is implemented for the sub-grid scale approximation. The resulting algebraic system is solved using a matrix-free conjugate gradient iterative method. Results of isotropic decaying turbulence in a triple periodic cube are compared with direct numerical simulation (DNS) and experimental data. Preliminary conclusions regarding the performance of the element-wise divergence-free Crouzeix-Raviart element compared to the Taylor-Hood element which only assures divergence-free in a weak sense (i.e., over the entire domain) are presented.

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.001
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.007
Threshold uncertainty score0.024

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0010.000
Scholarly communication0.0010.001
Open science0.0010.001
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0070.001

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 head0.064
GPT teacher head0.439
Teacher spread0.376 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2003
Admission routes1
Has abstractyes

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