International Journal of Applied Mathematics, Computational Science and Systems Engineering
E-ISSN: 2766-9823
Volume 6, 2024
Development of a Semi-Analytical Dynamic Force Model
Authors: , , , , , ,
Abstract: A moving water mass generates force which is exerted on its moving path. Cyclone generated storm
surge or earthquake generated tsunami are specific examples of moving water mass generated force along the
coasts. In addition to human lives, these moving water masses cause severe damages to the coastal infrastructure
due to tremendous force exerted on these structures. To assess the damage on these infrastructures, an essential
parameter is the resultant force exerted on these structures. To evaluate the damages, there is hardly any
quantitative method available to compute this force. In this paper we have developed a semi-analytical model,
named as Dynamic Force Model (DFM), by using Variational Iteration Method to compute this force. We have
derived the governing equation on the basis of Saint-Venant equations which are basically 1D shallow water
equations derived from the Navier-Stokes equations. DFM is verified, calibrated, validated, and applied in
Bangladesh coastal zone to compute dynamic thrust force due to tropical cyclone SIDR.
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Keywords: Semi-analytical method, Variational Iteration Method, Moving water mass, Thrust force, Navier-
Stokes equations, Saint-Venant equations
Pages: 55-75
DOI: 10.37394/232026.2024.6.6