Vortical freak waves in water under external pressure action

Area of Science:

• Fluid dynamics
• Oceanography
• Wave theory

Background:

• Freak waves pose significant risks in marine environments.
• Understanding their formation is crucial for maritime safety and coastal engineering.
• Existing models often simplify the complex physics involved.

Purpose of the Study:

• To present a novel vortical model for freak wave generation.
• To simulate the effect of wind pressure on water surfaces.
• To analyze the fluid dynamics leading to extreme wave events.

Main Methods:

• Utilizing an exact solution of 2D hydrodynamic equations for ideal, inviscid fluid.
• Employing Lagrangian variables to describe fluid particle motion.
• Simulating wind action via nonuniform pressure on the free surface.

Main Results:

• The model demonstrates fluid particles rotating in circles of varying radii.
• It successfully describes the appearance of freak waves within the context of Gerstner waves.
• Analysis of physical parameters supports the feasibility of the proposed formation scenario.

Conclusions:

• The vortical model provides a viable physical mechanism for freak wave formation.
• The simulation highlights the role of surface pressure variations in extreme wave generation.
• Further research can explore the model's applicability to more complex fluid conditions.