Applied Mathematics in Wave–Structure Interaction Problems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".
Deadline for manuscript submissions: 15 October 2026 | Viewed by 18
Special Issue Editors
Interests: boundary value problem; stability analysis; fluid–structure interaction problems; coastal hydrodynamics; acoustic wave propagation; wave energy converter
Special Issues, Collections and Topics in MDPI journals
Interests: offshore renewable energy; wave, current interaction with structure; freak wave; sloshing
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
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:
- Analytical and semi-analytical methods for wave–structure interaction;
- Eigenfunction expansion, mode-matching, and transform-based formulations;
- Boundary integral, finite element, and spectral collocation methods;
- Mathematical modeling of wave scattering, radiation, diffraction, and resonance;
- Hydrodynamic stability analysis and nonlinear wave–structure interaction;
- Influence of seabed conditions, structural geometry, porosity, and ocean currents;
- CFD-based hydrodynamic modeling and numerical simulation;
- AI/ML-assisted surrogate modeling, prediction, and optimization;
- Wave energy converters and coastal protection structures;
- 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
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- mathematical modeling
- wave–structure interaction
- analytical and semi-analytical methods
- computational hydrodynamics
- AI/ML modeling and prediction
- hydrodynamic stability analysis
- nonlinear wave modeling
- porous and flexible structure modeling
- floating and submerged body dynamics
- wave energy converters
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