Wave Dynamics and Coastal Modeling

Wave dynamics encompass the generation, propagation and transformation of surface waves under the influence of wind, currents and bathymetry. As waves travel from deep to shallow water, processes such as refraction, shoaling and breaking redistribute energy, shaping coastal morphology and driving sediment transport. Coastal modelling synthesises these processes within numerical frameworks to predict nearshore wave climates, storm surges and inundation patterns. Advances in three-dimensional simulations and data-driven methods have improved our capacity to resolve nonlinear interactions, air–sea exchanges and the impact of climate variability on wave regimes. Accurate representation of wave processes underpins risk assessments for coastal infrastructure, informs design standards and guides adaptation to sea-level rise and extreme storm events.

Research from Nature Portfolio

Laboratory experiments and high-fidelity simulations have revealed that three-dimensional wave breaking departs markedly from two-dimensional assumptions, exhibiting distinct regimes of travelling-wave, standing-wave and mixed breaking as directional spreading increases. These findings challenge conventional criteria for breaking onset and have implications for energy dissipation estimates in design of offshore and coastal structures. Complementary global analyses of tropical cyclone wave fields indicate that both the maximum wave height and the spatial footprint associated with cyclonic storms have grown over recent decades, amplifying coastal wave hazards in subtropical regions. At the climate scale, long-term records demonstrate a steady rise in global wave power—a measure of energy flux from wind to sea surface—closely correlated with ocean warming. This trend suggests that wave power may serve as an indicator of anthropogenic climate change and underscores the need to incorporate evolving wave climates into coastal resilience planning.

Research from all publishers

Studies of coastal water-level dynamics have emphasised the nonlinear interactions between mean sea level, tides, storm surges and wave setup. By analysing shallow-water equations, researchers have quantified how these interactions can alter total water levels by tens of centimetres, highlighting the importance of coupled modelling for accurate flood projections. In parallel, comparisons between nested-grid spectral wave models and machine-learning algorithms have shown that data-driven approaches can match the predictive skill of physics-based models for significant wave height, offering rapid and adaptable forecasting tools when calibrated with surface wind inputs. Additionally, intercomparisons of multi-mission satellite altimeter products, reanalyses and buoy measurements have exposed substantial uncertainties in long-term wave height trends. Discrepancies arising from calibration choices and quality controls underline the challenge of constructing consistent observational baselines for climate-scale wave studies.

Wave Dynamics and Coastal Modeling publication trend

The graph below shows the total number of articles in wave dynamics and coastal modeling across all publications each year (not limited to Nature Index journals).

Technical terms

Wave breaking: The process by which a wave becomes unstable and collapses, dissipating energy through turbulence and air entrainment.

Directional spreading: The distribution of wave energy across a range of propagation directions, affecting coherence and breaking behaviour.

Significant wave height: The average height of the highest one-third of waves in a record, commonly used to characterise sea state.

Wave power: The rate of energy transport by waves per unit width of wave crest, proportional to the product of wave height squared and group velocity.

Storm surge: The rise in coastal water level induced by atmospheric pressure changes and wind stress during cyclonic or extra-tropical storms.

References

1. Three-dimensional wave breaking. Nature (2024).
2. Global increase in tropical cyclone ocean surface waves. Nature Communications (2024).
3. A recent increase in global wave power as a consequence of oceanic warming. Nature Communications (2019).
4. Interactions Between Mean Sea Level, Tide, Surge, Waves and Flooding: Mechanisms and Contributions to Sea Level Variations at the Coast. Surveys in Geophysics (2019).
5. Prediction of significant wave height; comparison between nested grid numerical model, and machine learning models of artificial neural networks, extreme learning and support vector machines. Engineering Applications of Computational Fluid Mechanics (2020).
6. Global Wave Height Trends and Variability from New Multimission Satellite Altimeter Products, Reanalyses, and Wave Buoys. Geophysical Research Letters (2020).