A two-field hybrid formulation for multilayers involving poroelastic, acoustic, and elastic materials
Bibliographic record
Abstract
Recently, an implementation of the mixed pressure displacement {u,P} formulation for poroelastic materials using the theory of hierarchical elements has been proposed. It has been shown that poroelastic hierarchical elements allow for an important reduction of the number of degrees of freedom required for the modeling of a porous material in three dimensions, compared to linear finite elements. In this paper, the coupling of a porous material modeled with hierarchical elements and an elastic domain modeled with finite elements or a fluid modeled with hierarchical elements is presented. Non-coincident meshes are assumed. Continuity of the fields is ensured by using a two-field hybrid formulation. The paper is organized as follows. The theory is first presented. The computation of fluid-structure coupling integrals over non-coincident meshes is then tackled. Numerical results are produced to show the accuracy and the performance of the proposed model for the modeling of an elastic-porous or a porous-fluid coupled system. Comparisons between numerical simulations and experiments are also presented in the case of a porous coated plate.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
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".