MétaCan
Menu
Back to cohort
Record W4317693675 · doi:10.2514/6.2023-1793

Full-Space Goal Oriented Mesh Optimization

2023· article· en· W4317693675 on OpenAlex
Pranshul Thakur, Sivakumaran Nadarajah

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

VenueAIAA SCITECH 2023 Forum · 2023
Typearticle
Languageen
FieldEngineering
TopicComputational Fluid Dynamics and Aerodynamics
Canadian institutionsMcGill University
Fundersnot available
KeywordsSolverMathematical optimizationAdaptive mesh refinementConvergence (economics)Computer scienceNode (physics)MathematicsApplied mathematicsNewton's methodFlow (mathematics)Space (punctuation)AlgorithmGeometryComputational scienceNonlinear system

Abstract

fetched live from OpenAlex

View Video Presentation: https://doi.org/10.2514/6.2023-1793.vid In industrial applications, numerical computations are performed with the intention of estimating an integral quantity of interest. The error from a numerical scheme depends significantly on the mesh and node distributions. Optimization based reduced-space mesh adaptation is widely used to obtain an optimal node distribution, which minimizes the error in a final goal/functional. However, in reduced space methods, the flow solver’s residual needs to be completely converged at each iteration of optimization and the number of non-linear Newton iterations scales with the size of design variables. On the other hand, the full space approach converges the mesh and flow solution simultaneously and the number of Newton iterations required by the optimizer are independent of problem size. The current work introduces a goal oriented full-space optimization based r-adaptation to get a mesh which accurately computes a functional of interest. The traditional goal oriented error estimate is modified for use with full space and an adjoint-based objective function is proposed along with the means to calculate its first and second derivatives to retain quadratic convergence of Newton’s method. Convergence of the scheme is verified using 1D and 2D test cases with volume and boundary functionals and the approach is compared with the reduced-space method.

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: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.800
Threshold uncertainty score0.666

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
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 head0.004
GPT teacher head0.208
Teacher spread0.203 · 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