New Algorithm Developed for Predicting Surface Wave Propagation in Variable Water Conditions
Researchers have developed a general algorithm using the Laplace cascade method to predict how surface waves propagate through shallow water with varying depths and currents without significant reflection or scattering. The work addresses a fundamental problem in fluid dynamics by analyzing how inhomogeneous media can enable efficient wave energy transmission over long distances. The findings have practical applications for protecting ships, marine structures, and coastal communities from wave impacts.
A new mathematical approach has been proposed for understanding how surface waves travel through channels and shallow water bodies with variable bathymetry (underwater topography) and currents. The research applies the Laplace cascade method—a technique for solving second-order hyperbolic equations—to develop a general algorithm that identifies parameters allowing waves to propagate with minimal reflection or scattering. The study includes representative solutions and comparisons with previous research, demonstrating the algorithm's validity. By enabling better prediction of wave behavior in complex water conditions, this work could improve mitigation strategies for wave-related hazards affecting maritime vessels, coastal engineering structures, and human settlements in vulnerable areas.
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- arXiv physicsCenter
Traveling surface wave propagation on shallow water with variable bathymetry and current
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