Advanced Water Wave Analysis
Explore advanced water wave theories and perturbation techniques for analyzing complex fluid dynamics in nonlinear systems.
Explore advanced water wave theories and perturbation techniques for analyzing complex fluid dynamics in nonlinear systems.
This advanced course explores the fundamentals of nonlinear water waves using perturbation methods. Students will study various aspects of water wave behavior, from basic perturbation techniques to complex wave equations. The curriculum progresses through Stokes wave solutions for deep water, nonlinear shallow-water equations, and culminates in exploring Boussinesq equations and solitary wave solutions through the KdV equation. This comprehensive approach provides students with strong theoretical foundations and practical analytical tools for understanding complex water wave phenomena.
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What you'll learn
Master perturbation methods for analyzing nonlinear water waves
Apply Stokes wave theory to deep water wave problems
Analyze nonlinear shallow water equations and their applications
Understand Boussinesq equations and their significance
Solve the KdV equation to obtain solitary wave solutions
Skills you'll gain
This course includes:
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Graded assignments, exams
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Limited Access access
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There are 4 modules in this course
This course provides a rigorous treatment of nonlinear water wave theory using perturbation methods. Students learn about fundamental concepts starting with perturbation techniques, progressing through Stokes wave theory, and culminating in advanced topics like Boussinesq and KdV equations. The curriculum emphasizes mathematical modeling and analytical approaches to understanding complex wave phenomena, particularly useful for engineering applications in coastal and offshore structures.
Introduction to Perturbation Method
Module 1 · 1 Weeks to complete
Stokes Wave Theory
Module 2 · 1 Weeks to complete
Nonlinear Shallow-Water Equations
Module 3 · 1 Weeks to complete
Boussinesq Equations and KdV Equation
Module 4 · 1 Weeks to complete
Fee Structure
Instructors
2 Courses
Coastal Engineering Expert Advances Wave Dynamics Research
Dr. Yong Sung Park serves as an Associate Professor in the Department of Civil and Environmental Engineering at Seoul National University, where he has established himself as a leading expert in coastal engineering and fluid mechanics. His research journey spans prestigious institutions across the globe, including the University of Dundee, University of Rhode Island, and Cornell University. His work has significantly advanced our understanding of wave dynamics, coastal processes, and environmental fluid mechanics.
2 Courses
Teaching Assistant Advances Water Wave Engineering Education at SNU
Seung Jun Baek serves as a Teaching Assistant in the Department of Civil and Environmental Engineering at Seoul National University, where he is also pursuing his Ph.D. He supports instruction in two specialized courses focusing on water surface wave theory: "Water Surface Waves: Finite-amplitude waves" and "Water Surface Waves: Small-amplitude waves." Working alongside faculty members, he helps students understand complex concepts in wave mechanics and hydrodynamics. As a Student Advisor for the IAHR Seoul National University Young Professionals Network (IAHR SNU YPN), he contributes to both academic instruction and professional development in hydraulic engineering
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