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Water Surface Waves: Finite-Amplitude Waves

edX, Online
Length
4 weeks
Price
49 USD
Next course start
Start anytime See details
Delivery
Self-paced Online
Length
4 weeks
Price
49 USD
Next course start
Start anytime See details
Delivery
Self-paced Online
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Course description

Water Surface Waves: Finite-Amplitude Waves

This course covers fundamentals of nonlinear water waves based on perturbation methods. After reviewing basic techniques of perturbation methods, we study solutions for Stokes waves of deep water. After identifying the limitation of Stokes waves solution in shallow water, we then derive the nonlinear shallow-water equations. Finally, we explore the Boussinesq equations to account for (weak) dispersion and solve the kdV equation to obtain the solitary wave solution.

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  • Self-paced Online
  • Online
  • English

Who should attend?

Prerequisites

It is recommended to take a previous lecture, Water Surface Waves: Small Amplitude Waves, before this lecture.

Training content

  • Introduction to perturbation method
  • Stokes wave theory
  • Nonlinear shallow-water equations
  • Boussinesq equations and KdV equation

Course delivery details

This course is offered through Seoul National University, a partner institute of EdX.

2-4 hours per week

Costs

  • Verified Track -$49
  • Audit Track - Free

Certification / Credits

What you'll learn

  • Perturbation methods
  • Stokes wave theory and solutions
  • Nonlinear shallow water equations
  • Boussinesq equations
  • kdV equation and solitary wave solution

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