Water Surface Waves: Small-amplitude waves

To understand linear water wave theories and to apply it to engineering problems

Water Surface Waves: Small-amplitude waves
This course is archived
Estimated 4 weeks
3–5 hours per week
Self-paced
Progress at your own speed

About this course

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This course will cover formulation of small amplitude waves and its properties. First, we will solve the potential flow problem with linearized boundary conditions in order to get solution for velocity potential. Then, we will discuss the dispersion relation which is of central importance in water waves, since it clearly shows the close relationship between wave celerity and frequency. Finally, we will learn physical properties of the water waves; 1) velocity field and pressure field; 2) wave energy; 3) group velocity and; 4) wave shoaling.

At a glance

  • Institution: SNUx
  • Subject: Engineering
  • Level: Intermediate
  • Prerequisites:
    None
  • Language: English

What you'll learn

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l Essential knowledge of fluid dynamics for water waves

l Governing equation and boundary conditions for water wave problem

l Linearization of the boundary conditions

l Solution for simple harmonic progressive wave

l Dispersion relation

l Physical properties of the water waves

Week 1. Review of Fluid dynamics

Week 2. Linear wave theory: governing equation and boundary conditions

Week 3. Dispersion relation

Week 4. Physical properties of linear waves

About the instructors