Water Surface Waves: Finite-amplitude waves
Offered By: Seoul National University via edX
Course Description
Overview
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.
Syllabus
Week 1. Introduction to perturbation method
Week 2. Stokes wave theory
Week 3. Nonlinear shallow-water equations
Week 4. Boussinesq equations and KdV equation
Taught by
Yong Sung Park and Minjae Lee
Tags
Related Courses
Introduction to AerodynamicsMassachusetts Institute of Technology via edX AP® Physics 2: Challenging Concepts
Davidson College via edX Simulation and modeling of natural processes
University of Geneva via Coursera Operazioni Unitarie e Reattori Chimici
University of Naples Federico II via Federica Monozukuri: Making Things
Tokyo Institute of Technology via edX