Special Issues
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Recent Advancements in Wave Dynamics Models for Fluids: Analytical and Numerical Approaches

Submission Deadline: 28 February 2026 View: 917 Submit to Special Issue

Guest Editors

Dr. Sarat Chandra Mohapatra

Email: sarat.mohapatra@centec.tecnico.ulisboa.pt 

Affiliation: Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal.

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Research Interests: Nonlinear dynamical systems; mathematical modeling; Boussinesq modeling; two-layer fluid systems; porous media; fluid dynamics

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Summary

The proposed special issue seeks to explore the latest advancements, modeling approaches, and innovations in understanding the characteristics, behavior, and properties of wave dynamics in fluid systems. This collection aims to bridge the fields of fluid dynamics and materials science, shedding light on how wave phenomena in fluids influence and are influenced by the materials and structures they interact with.


The issue invites contributions (including research articles, reviews, and short communications) that address topics such as multiphase flow, transport through porous media, potential flows, fluid-structure interactions, wave-current interactions, and the dynamics of Boussinesq-type systems. Special emphasis is placed on the impact of environmental conditions on surface and internal wave behavior in multi-layered fluid systems, as well as on advanced analytical, numerical, and simulation methods.


Understanding these principles is not only vital for advancing fundamental knowledge but also for unlocking practical applications in engineering and industrial processes, particularly where wave-related phenomena play a critical role. The intersection of nonlinear wave dynamics, computational modeling, and experimental validation offers significant opportunities to deepen our grasp of complex fluid behavior.


Submissions analyzing nonlinear phenomena in wave mechanics are especially encouraged, with a focus on their implications for real-world applications and interdisciplinary challenges.


We welcome contributions on, but not limited to, the following topics:

· Advanced numerical methods in wave dynamics;

· Mathematical modeling of wave phenomena;

· Simulation of multiphase flows;

· Modeling and analysis of Boussinesq systems;

· Effects of currents on wave dynamics;

· Reacting flow modeling in wave environments;

· Fluid-structure interactions and their influence on wave behavior.


By emphasizing the interplay between wave dynamics, fluid mechanics, and materials science, this special issue aims to provide a comprehensive platform for showcasing innovative research and fostering cross-disciplinary dialogue.


Keywords

Wave dynamics; porous media; fluid dynamics; fluid Phase; surface and interfacial tension; Boussinesq equations; wave-current; wave-structure interaction

Published Papers


  • Open Access

    ARTICLE

    Shallow Water Waves with Surface Tension by Laplace–Adomian Decomposition

    Oswaldo González-Gaxiola, Yakup Yildirim, Luminita Moraru, Anjan Biswas
    FDMP-Fluid Dynamics & Materials Processing, Vol.21, No.9, pp. 2273-2287, 2025, DOI:10.32604/fdmp.2025.067959
    (This article belongs to the Special Issue: Recent Advancements in Wave Dynamics Models for Fluids: Analytical and Numerical Approaches)
    Abstract This study presents a numerical investigation of shallow water wave dynamics with particular emphasis on the role of surface tension. In the absence of surface tension, shallow water waves are primarily driven by gravity and are well described by the classical Boussinesq equation, which incorporates fourth-order dispersion. Under this framework, solitary and shock waves arise through the balance of nonlinearity and gravity-induced dispersion, producing waveforms whose propagation speed, amplitude, and width depend largely on depth and initial disturbance. The resulting dynamics are comparatively smoother, with solitary waves maintaining coherent structures and shock waves displaying gradual… More >

    Graphic Abstract

    Shallow Water Waves with Surface Tension by Laplace–Adomian Decomposition

  • Open Access

    ARTICLE

    Six-Degree-of-Freedom Motion Analysis of High-Speed Craft Navigating through Variable Marine Environments

    Xiaoyang Wu, Wenchao Han, Min Kuang, Xinqi Wang, Wenhao Xie
    FDMP-Fluid Dynamics & Materials Processing, Vol.21, No.9, pp. 2201-2223, 2025, DOI:10.32604/fdmp.2025.067081
    (This article belongs to the Special Issue: Recent Advancements in Wave Dynamics Models for Fluids: Analytical and Numerical Approaches)
    Abstract The dynamic behavior of high-speed craft navigating through variable sea states plays a pivotal role in ensuring maritime safety. However, many existing simulation approaches rely on linear or overly simplified representations of the marine environment, thereby limiting the fidelity of motion predictions. This study explores the motion characteristics of a 4.5-t high-speed vessel by conducting fully coupled numerical simulations using the STAR-CCM+ software. The analysis considers both calm and varying sea conditions, incorporating fluctuations in wave height, wavelength, and wind speed to reflect more realistic operating scenarios. Simulation results reveal that the vessel’s hydrodynamic response… More >

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