Brief Introduction
To understand non-linear water wave theories and perturbation methods
Description
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.
Knowledge
- l
- Perturbation methods
- l
- Stokes wave theory and solutions
- l
- Nonlinear shallow water equations
- l
- Boussinesq equations
- l
- kdV equation and solitary wave solution
Water Surface Waves: Small-amplitude waves
- 0.0
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To understand linear water wave theories and to apply it to engineering problems This course will cover formulation of small amplitude waves and its properties....
Water Surface Waves: Finite-amplitude waves
- 0.0
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To understand non-linear water wave theories and perturbation methods This course covers fundamentals of nonlinear water waves based on perturbation methods....
