Article

A time-domain framework for ship motions analysis incorporating a quadtree-based non-linear force model

Ocean Engineering

Wang, Shuai; Ren, Junsheng; Guedes Soares, C. — 2026 — Elsevier

Key information

Authors:

Wang, Shuai; Ren, Junsheng; Jiao, Xuechao; Liu, Zhaochun; Guedes Soares, C. (Carlos Guedes Soares)

Published in

01/15/2026

Abstract

This paper develops a mathematical model of ship motion based on a hybrid Green's function method, incorporating a quadtree algorithm to accurately account for non-linear Froude-Krylov forces. The model is first validated through a series of tests. Subsequently, a parametric study is conducted by simulating the ship's motion in irregular long-crested waves to analyze its response to various parameters. This research contributes to the field in three key ways: it provides a novel method for seakeeping calculations suitable for marine simulators, offers a reference for expanding the scope of non-linear ship motion studies, and establishes the theoretical foundation for implementing ship dynamics in realistic irregular seas.

Publication details

Authors in the community:

Publication version

VoR - Version of Record

Publisher

Elsevier

Link to the publisher's version

https://www.sciencedirect.com/science/article/pii/S0029801825031130?via%3Dihub

Title of the publication container

Ocean Engineering

First page or article number

123430

Volume

343

Issue

Part 4

DOI

10.1016/j.oceaneng.2025.123430

Fields of Science and Technology (FOS)

other-engineering-and-technologies - Other engineering and technologies

Keywords

  • Navigation simulator
  • Ship motion modelling
  • Hybrid green function
  • Wigley I hull
  • Non-linear Froude-Krylov force
  • Irregular waves

Publication language (ISO code)

eng - English

Rights type:

Open access