Mathematical Model for Riverboat Dynamics

Abstract

SummaryPresent work describes a simple dynamical model for riverboat motion based on the square drag law. Air and water interactions with the boat are determined from aerodynamic coefficients. CFX simulations were performed with fully developed turbulent flow to determine boat aerodynamic coefficients for an arbitrary angle of attack for the air and water portions separately. The effect of wave resistance is negligible compared to other forces. Boat movement analysis considers only two-dimensional motion, therefore only six aerodynamics coefficients are required. The proposed model is solved and used to determine the critical environmental parameters (wind and current) under which river navigation can be conducted safely. Boat simulator was tested in a single area on the Ljubljanica river and estimated critical wind velocity.

Mathematical model and simulation of cooperative manoeuvres among a ship and tugboats

“…The ship and tugboats may experience large manoeuvring motions during their assisting operation. In general, when an inflow angle to the hull becomes large, the formulation of its hydrodynamic forces becomes complicated [32]. Here, 𝑋 𝐻 , 𝑌 𝐻 , and 𝑁 𝐻 are expressed in reference to the so-called crossflow drag model developed by Yoshimura [33], which can cover a wide range of manoeuvring motions with a small number of coefficients.…”