Analysis of linear capillary gravity wave scattering by a submerged plate over an asymmetrical trench
Bibliographic record
Abstract
To protect a harbor from the open sea, one can consider a sustainable construction of breakwater in the form of a submerged vertical thin barrier over an asymmetric rectangular trench. In the present study, the scattering of water waves by submerged vertical breakwater over an asymmetric trench in the presence of capillary gravity wave interaction is considered. Applying linear theory, the scattering problem is investigated in the case of three different positions of a fully submerged barrier in the presence of surface tension. The mathematical problem is structured in terms of integral equations which are operated by using two different numerical approaches, The first one is the Boundary element method and the second one is the multi-term Galerkin Approximation technique where the basis functions are chosen in terms of ultraspherical Gegenbauer polynomials and Chebychev polynomials for the different singularities at the edge of the trench and the barrier respectively. These techniques aid in reducing the integral equation to a system of algebraic equations and they are solved for unknowns. The comparison between the results obtained from the two different techniques is given. Besides, choosing an orthogonal polynomial, one can also choose a simple polynomial as a basis function in Galerkin technique. In the present study, a better convergence rate is given by orthogonal polynomials than simple ones. The effectiveness of the vertical submerged breakwater over an asymmetric trench in the presence of surface tension is studied by analyzing the numerical results for different physical quantities like reflection, transmission coefficients, and wave load which are depicted graphically against wave number. Comparisons between present results and experimental results are shown graphically for reflection and transmission coefficients.
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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 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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".