This is a comparative calculation of two possible designs for Coastal Defense Walls, based on the MPS method (Particleworks).
The model represents a shallow water, near-shore case, with a 1/2 gradient sea-wall, from a still water depth of 2 m, up to the base of the wave-return wall. The flow domain extends 1 m into the Y direction (screen normal), contains about 2.8 million particles, and it’s completely stationary at the beginning of the simulation. A single, fast moving (approx. 4 m/s), 2 m high wave is created using a piston wall (far right), its motion following a simple, sinusoidal law. The wave crest starts breaking before reaching the shore. The wave-return wall height is identical, 1.5 m.
As expected, the straight wall experiences less force (about 28.5 kN/m vs. 43 kN/m for the recurved wall), but it is also over-topped by a much higher amount of sea water. The peak force occurs slightly earlier for the straight wall.
The particles are colored by the Number Density; 60 (blue) means bulk particles, while a value close to 0 (red) signals isolated particles.
The MPS method proves to be a very efficient way of testing coastal defense solutions, especially since the modeling & computational effort is practically insensitive to geometric complexity, and model construction & modification is extremely easy. Taking advantage of the GPU computing performance is highly recommended.