News

Dr Vasily Kostikov, Assistant Professor at Xi’an Jiaotong–Liverpool University, will present the seminar titled "Green-Naghdi theory in application to the problems of hydroelasticity."

When: 11/02/2026 from 4.00 PM to 5.00 PM

Where: E1-L1-MR204, SIT Punggol

Abstract: The Green-Naghdi theory was originally developed by A.E. Green of the University of Oxford and P.M. Naghdi of the University of California to study wave-structure interaction. In contrast to the classical perturbation approach to long-wave equations, the Green-Naghdi theory draws on the theory of directed fluid sheets, which has roots in the theory of shells and plates in structural mechanics, and on a three-dimensional continuum model called a Cosserat surface. This approach yields a set of partial differential equations for the continuum under study that represent the conservation of mass and integrated momentum and satisfy the nonlinear boundary conditions exactly. The Green-Naghdi equations are classified by the number of functions that prescribe the distribution of vertical velocity across the fluid depth. Since no perturbation or scaling parameters are used in the derivation of these equations, there is no theoretical restriction on the limit to which the theory is applicable. In my presentation, I will discuss the development of analytical and numerical models for the interaction of nonlinear waves with floating and submerged deformable plates in the context of the Level I Green-Naghdi theory. Since the motion and deformation of an elastic structure also modify the flow field, a comprehensive analysis of hydroelasticity problems requires simultaneous consideration of two-way fluid-structure and structure-fluid interactions. This challenge is addressed by coupling the Green-Naghdi theory with appropriate structural elasticity equations. As a result, an accurate and efficient numerical model is developed to predict the hydroelastic response of floating and submerged deformable structures (e.g., floating solar panels, ice sheets in marginal ice zones, muddy seafloor, underwater tunnels, and wave breakers).

Short Bio of Speaker: Vasily Kostikov is an Assistant Professor at Xi’an Jiaotong–Liverpool University. He graduated from Novosibirsk State University (Russia) in 2010 and obtained his PhD from Lavrentyev’s Institute of Hydrodynamics (Novosibirsk, Russia) in 2013. He is an expert in asymptotic methods in fluid mechanics and focuses on theoretical and numerical modelling of nonlinear problems. His research is concerned with theoretical and numerical modelling. The topics of his study include the propagation of water waves and the interaction of waves with floating and submerged elastic structures.