Shock wave diffraction over wedges, cylinders, and spheres in gases, liquids, and condensed matter
Bibliographic record
Abstract
The problem of the initial diffraction of a planar shock wave moving along the front surface of a wedge, cylinder, and sphere is solved analytically for three cases when the fluid around the body is a gas, liquid, and condensed matter, and when the reflection pattern is regular shock reflection. The conservation equations of mass, momentum, and energy are solved across the incident and reflected shocks at the reflection point moving along the body surface, using the equation of state p=ρRT for gases, Tait’s equation of state for liquids, and D=su+a for condensed matter. The monotonic increase in the reflected shock pressure along the front surface of cylinders and spheres during regular shock reflection in liquids and condensed matter is unexpectedly different from well-known results for gases in which the reflected pressure decreases from the stagnation point to a minimum farther along the body.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| 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 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 teacher head, 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".