Figure 3

Fluid and solid motion of Krauklis wave along z -direction projected onto the xz -plane. In these examples, L = 25, β = 1,$\alpha =\sqrt{3}$, ϱ = 1, and the phase speeds are respectively 0.46 and 0.88 in (a) symmetric and (b) antisymmetric cases. A solid particle (open circle) sticking to the fluid-solid boundary (gray solid line) moves along an ellipse (closed dotted line). The black arrow represents the direction and magnitude of the particle motion. The white arrows represent the velocity field in the fluid layer. The arrow lengths are scaled by a common factor so that the speed can be compared between the symmetric and antisymmetric waves.