Depression internal solitary wave interaction with submerged obstacle

Area of Science:

• Fluid dynamics
• Oceanography
• Wave mechanics

Background:

• Internal solitary waves are significant phenomena in oceanography.
• Submerged plates can alter wave dynamics.
• Understanding wave-plate interactions is crucial for marine engineering and coastal studies.

Purpose of the Study:

• To investigate the interaction between depression internal solitary waves and a submerged plate.
• To characterize the transformation, reflection, and transmission of these waves.
• To analyze the energy and amplitude behavior of reflected and transmitted waves.

Main Methods:

• Numerical simulation of internal solitary wave generation and propagation.
• Modeling the interaction of these waves with a submerged plate.
• Analyzing wave characteristics, including amplitude and energy, for both reflected and transmitted components.

Main Results:

• The interaction resulted in both wave transformation and reflection.
• Reflected wave amplitude and energy followed a logarithmic law concerning the dimensionless blocking parameter.
• Transmitted wave amplitude and energy adhered to an exponential rule with the blocking parameter.
• Similar wave amplitude and energy were observed for reflected and transmitted waves when the blocking parameter approached 0.8.

Conclusions:

• The study successfully simulated internal solitary wave-submerged plate interactions.
• Distinct mathematical laws govern the behavior of reflected and transmitted waves.
• The dimensionless blocking parameter plays a key role in wave transformation and energy distribution.