Applied Mathematics in Wave–Structure Interaction Problems

Dear Colleagues,

Wave–structure interaction is a fundamental topic in ocean engineering and marine hydrodynamics, governing the performance, safety, and resilience of structures subjected to wave action. Understanding these processes requires advanced mathematical modeling to capture complex hydrodynamic behaviors such as scattering, radiation, diffraction, resonance, stability, and the power capture performance of wave energy converters. Modern analytical methods, numerical schemes, CFD-based techniques, and emerging AI/ML approaches provide powerful tools for studying these challenges and optimizing marine system design.

This Special Issue will focus on recent mathematical and computational studies of wave–structure interaction. Contributions that apply advanced mathematical techniques, numerical simulations, CFD modeling, or AI/ML-assisted analysis and optimization are highly encouraged.

Topics include, but are not limited to, the following:

1. Analytical and semi-analytical methods for wave–structure interaction;
2. Eigenfunction expansion, mode-matching, and transform-based formulations;
3. Boundary integral, finite element, and spectral collocation methods;
4. Mathematical modeling of wave scattering, radiation, diffraction, and resonance;
5. Hydrodynamic stability analysis and nonlinear wave–structure interaction;
6. Influence of seabed conditions, structural geometry, porosity, and ocean currents;
7. CFD-based hydrodynamic modeling and numerical simulation;
8. AI/ML-assisted surrogate modeling, prediction, and optimization;
9. Wave energy converters and coastal protection structures;
10. Modeling of porous, flexible, composite, and floating marine structures.

Advanced mathematical modeling and numerical simulation in marine hydrodynamics and engineering applications are particularly welcome in this Special Issue.

Dr. Harekrushna Behera
Prof. Dr. Dezhi Ning
Guest Editors

Manuscript Submission Information

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