Homotopy-bem analysis method and device for hydrodynamic characteristics of marine structures

CN122242333APending Publication Date: 2026-06-19OCEAN UNIV OF CHINA

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
OCEAN UNIV OF CHINA
Filing Date
2026-02-28
Publication Date
2026-06-19

AI Technical Summary

Technical Problem

When analyzing the interaction between waves and marine structures, existing technologies cannot account for wave energy dissipation due to the classical potential flow theory, resulting in distorted calculation results. Furthermore, numerical simulation based on viscous fluid dynamics has low computational efficiency and is difficult to meet the needs of design analysis.

Method used

The homotopy-boundary element analysis method is adopted, which represents the fluid motion through the total velocity potential. An energy dissipation surface is set and a nonlinear pressure loss condition is applied. The boundary integral equations are combined, and the homotopy relation is established by using the normal derivative of the scattering potential and the hypersingular boundary integral equation. The velocity potential of the structure surface and the normal derivative of the velocity potential of the dissipation surface are solved to achieve a high-precision numerical solution.

Benefits of technology

It improves calculation accuracy, simplifies the calculation process, effectively assesses energy loss, solves the problem that classical potential flow theory cannot consider wave energy dissipation, and provides an efficient tool for analyzing the hydrodynamic characteristics of marine structures.

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Abstract

This application relates to the field of marine engineering technology, and discloses a homotopy-boundary element analysis method and apparatus for the hydrodynamic characteristics of marine structures. The homotopy analysis method transforms a set of nonlinear equations into a series of linear subproblems for solution. A high-precision numerical solution to the original nonlinear problem is obtained by superimposing the linear solutions of each order. By setting an appropriate energy dissipation coefficient, energy losses caused by fluid viscosity and flow separation can be effectively evaluated, and the influence of wave height on energy loss is directly considered. Compared with the traditional boundary element method of direct iteration, the homotopy-boundary element analysis method is simpler and has higher computational accuracy. Furthermore, by introducing a hypersingular boundary integral equation, the degenerate boundary caused by the dissipative surface is effectively handled, avoiding the problem that traditional boundary element models cannot be programmed with general-purpose calculations due to fluid partitioning. It can solve the problem that classical non-dissipative potential flow numerical models cannot consider wave energy dissipation and result in distorted calculations.
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