The performance of this coupled DNS DNS method is demonstrated and validated by several test cases including: interfacial wave between two viscous fluids, water surface wave over highly viscous mud flow with interfacial wave, and interaction of two-phase vortex pairs with a deformable interface.
Both mechanisms of antisymmetric and symmetric instabilities rely on the fact that friction of surface-wave propagation arising at the fluid-solid boundary can be reduced by adding a plane laminar flow and that a sufficiently fast fluid flow even amplifies the surface wave because of the no-slip boundary condition.
In particular, the Rayleigh quotient is transformed into a simpler expression where the potential energies of the compressible fluid and free surface waves do not appear.
The acoustic energy emitted by the source is carried away to infinity by acoustic radiation as well as by flexural waves that travel along the plate, accompanied by a coupled, subsonic surface wave in the fluid.
Both the submerged beam and the submerged string can support a wave system which includes a pure surface wave in the fluid adjoining the waveguide, provided that certain conditions on the frequency (for the beam) or the physical parameters of the system (for the string) are satisfied.
Because the antisymmetric Krauklis wave is a surface wave concentrated around the fluid layer, its amplitude decays exponentially at distances far from the fluid layer.
When the wavelength is shorter than the fluid layer thickness, both the symmetric and antisymmetric fundamental modes approach the Stoneley wave (the surface wave trapped near a fluid-solid interface).
To understand the behavior of waves at a fluid surface in configurations where the surface and the bottom meet (islands, beaches…), one encounters a difficulty: the presence in the bulk of the fluid of an edge, at the triple line.
Abstract: To understand the behavior of waves at a fluid surface in configurations where the surface and the bottom meet (islands, beaches…), one encounters a difficulty: the presence in the bulk of the fluid of an edge, at the triple line.
