Home▸Articles▸Climate, Ecology & Environment

Tsunami Shallow-Water Wave Model (2D): Understanding the Physics of Coastal Inundation

This 2D simulator provides a dynamic insight into how tsunamis propagate, interact with coastal topography, and cause inundation.

mysimulator teamUpdated June 2026≈ 3 min read▶ Open the simulation

What is the Tsunami Shallow-Water Wave Model?

The Tsunami Shallow-Water Wave Model (2D) is an advanced numerical simulation tool designed to study how tsunamis behave in coastal areas. It solves the nonlinear shallow-water equations, which describe fluid flow under gravity and account for wave propagation and interaction with varying seabed topography.

By adjusting parameters such as offshore wave height, wave period, shelf depth, and beach slope angle, users can observe how these factors influence tsunami behavior, including shoaling amplification, wave breaking, and coastal inundation.

How Does the Model Work?

The model employs a finite-volume method to discretize the domain into cells, where it numerically solves the shallow-water equations. The Rusanov flux ensures stability in capturing shock waves, while the Audusse well-balanced source term maintains accurate water depths over variable topography.

This approach allows for realistic simulations of tsunami propagation and interaction with coastal features without relying on empirical formulas, providing a more accurate representation of real-world scenarios.

live demo · related simulation● LIVE

Why is This Model Important?

Understanding the behavior of tsunamis in coastal areas is crucial for developing effective early warning systems and evacuation plans. The model helps researchers and policymakers assess potential risks, optimize infrastructure design, and improve public safety measures.

By simulating various scenarios, scientists can better predict how different types of tsunamis might impact specific coastlines, aiding in the development of more robust coastal management strategies.

Real-World Applications

The insights gained from this model have direct applications in disaster preparedness and mitigation. For instance, it can be used to evaluate the effectiveness of seawalls, levees, and other protective structures under different tsunami conditions.

Additionally, the model aids in urban planning by helping identify areas most vulnerable to coastal flooding, allowing for more informed development decisions that prioritize safety.

Frequently asked questions

How accurate are the simulations produced by this model?

The accuracy of the simulations depends on the quality and resolution of input data, as well as the numerical methods used. However, the Rusanov flux and Audusse source term ensure that the model captures the essential physics of tsunami propagation accurately.

Can this model be applied to other types of waves besides tsunamis?

While the model is specifically designed for tsunamis, its underlying principles can be adapted to study other wave phenomena in coastal areas, such as storm surges or tidal bores.

What are some limitations of this model?

The model assumes a two-dimensional plane and may not capture all three-dimensional effects. Additionally, it relies on simplified representations of complex coastal topography and fluid dynamics.

How can the results from this model be used in emergency planning?

Results from the model can help identify critical areas for evacuation, assess the effectiveness of protective measures, and inform public safety policies to reduce risk during potential tsunami events.

Try it live

Everything above runs in your browser — open Tsunami Shallow-Water Wave Model (2D) and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.

▶ Open Tsunami Shallow-Water Wave Model (2D) simulation

What did you find?

Add reproduction steps (optional)