Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 0801.2295

Ship-induced solitons as a manifestation of critical phenomena

Stanyslav Zakharov·Alexey Kryukov
View original source ↗Read source document ↗Export metadata ↓

Abstract

A ship, moving with small acceleration in a reservoir of uniform depth, can be subjected to a sudden hydrodynamical impact similar to collision with an underwater rock, and on water surface unusual solitary wave will start running. The factors responsible for formation of solitons induced by a moving ship are analyzed. Emphasis is given to a phenomenon observed by John Scott Russell more 170 years ago when a sudden stop of a boat preceded the occurrence of exotic water dome. In dramatic changes of polemic about the stability and mathematical description of a solitary wave, the question why "Russell's wave" occurred has not been raised, though attempts its recreation invariably suffered failure. In our report the conditions disclosing the principle of the famous event as a critical phenomenon are described. In a reservoir of uniform depth a ship can confront by a dynamic barrier within narrow limits of ship's speed and acceleration. In a wider interval of parameters a ship generates a satellite wave, which can be transformed in a different-locking soliton. These phenomena can be classified into an extensive category of dynamic barrier effects including the transition of aircrafts through the sound barrier.

Explore related subjects

physics.ao-phphysics.flu-dyn

Keep this discovery

BibTeXRIS

Stanyslav Zakharov, Alexey Kryukov. 2008-01-15. Ship-induced solitons as a manifestation of critical phenomena. https://arxiv.org/abs/0801.2295

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Windowed Envelope Statistics for Time-Domain Significant Wave Height Estimation From HF Radar

Significant wave height (SWH) retrieval from high-frequency (HF) radar typically relies on a weak second-order Doppler continuum that is sensitive to noise, interference, and spectral leakage. This letter presents a Windowed Envelope Statistics Estimator (WESE) that operates directly on beam-formed time-domain voltages. A second-order term obtained from a Neumann expansion of the rough-surface field equation motivates quadratic compensation of localized radar features. WESE extracts the mean, standard deviation, or variance from overlapping windows of the in-phase, quadrature, or envelope-magnitude sequence, followed by quadratic compensation, rank ordering, least-squares regression, and causal smoothing. Evaluation used 335 synchronized hourly observations from a 13.385 MHz, 12-element WERA system at Argentia, Newfoundland and Labrador. The optimal configuration used quadrature variance, a 16-sample window, 896 retained chronological samples, and 30-h smoothing, achieving an RMSE of 0.152 m and a Pearson correlation of 0.978. This represents RMSE reductions of 32.1% and 18.7% relative to previously reported linear and second-order compensated ordered-statistics models, respectively. The results demonstrate robust time-domain SWH estimation without explicit Doppler-spectrum construction.

physics.ao-ph↗
arXiv2026

KiloDA: Reconstructing kilometer-scale near-surface wind states from sparse station observations

Accurate kilometer-scale near-surface winds are important for understanding atmospheric processes over complex terrain, yet remain difficult to reconstruct from sparse and unevenly distributed observations. Here we introduce KiloDA, a diffusion framework for hourly kilometer-scale wind reconstruction from surface stations. KiloDA learns the statistical distribution and spatial structure of wind fields from historical 3-km Weather Research and Forecasting (WRF) model forecasts. At each reconstruction time, no contemporaneous WRF field is used. Instead, station observations provide the only constraints on the current atmospheric state and guide posterior sampling from the learned prior. In idealized WRF experiments, KiloDA recovers localized wind structures when only 0.24% of grid cells are observed and shows an overall advantage over conventional interpolation across terrain conditions and wind speed regimes. This capability largely transfers to real observations. In a fully withheld region, KiloDA reduces the median wind speed root mean square error (RMSE) by 19% relative to ERA5 reanalysis, using only observations outside the region, with the largest improvements over high-elevation and high-relief terrain. A random station holdout further confirms that this advantage extends across different complex-terrain locations and holdout configurations. These results show that historical model archives can provide useful structural knowledge for reconstructing kilometer-scale wind fields from sparse observations without requiring an accurate model estimate of the current atmospheric state.

physics.ao-ph↗