Shallow Water Equation

This page simulates 2D shallow-water waves on a regular grid.

Visual Contract

• x-axis: grid column index (left to right).
• y-axis: grid row index (top to bottom).
• Displayed quantity: height anomaly h relative to rest depth.
• Color map: blue = trough, white = neutral, yellow/red = crest.
• Time: fixed-step numerical integration updated in a render loop.

Numerics

State is (h, u, v) with explicit finite differences, gravity, and damping. Boundaries are reflective with extra damping near the edges for stability.

Click in the canvas to inject a local disturbance.