A Validation of Symmetric 2D + T Model Based on Single-Stepped Planing Hull Towing Tank Tests

Abstract

In the current article, the hydrodynamic forces of single-stepped planing hulls were evaluated by an analytical method and compared against towing tank tests. Using the 2D + T theory, the pressure distribution over the wedge section entering the water and the normal forces acting on the 2D sections have been computed. By integrating the 2D sectional normal forces over the entire wetted length of the vessel, the lift force acting on it has been obtained. Using lift forces as well as the consequence pitch moment, the equilibrium condition for the single-stepped planing hull is found and then resistance, dynamic trim, and the wetted surface are computed. The obtained hydrodynamic results have been compared against the experimental data and it has been observed that the presented mathematical model has reasonable accuracy, in particular, up to Froude number 2.0. Furthermore, this mathematical model can be a useful and fast tool for the stepped hull designers in the early design stage in order to compare the different hull configurations. It should also be noted that the mathematical model has been developed in such a way that it has the potential to model the sweep-back step and transverse the vertical motions of single-stepped planing hulls in future studies.

Numerical evaluation of hydrodynamic characteristics of planing hulls by using a hybrid method

“…Since the 2D methods are valid in the planing regime, the relative errors are obtained once the beam Froude number (Fn B ) is higher than 2. To calculate the RMS values of the relative errors, equation (25) can be used.…”

“…In their study, the numerical results were validated using several benchmark models with a high order of accuracy. Bilandi et al 25 presented a 2D method to predict the hydrodynamic performance of the stepped planing hulls. They compared the results of their model with available experimental data in terms of total resistance, dynamic trim and wetted surface.…”

Two-Dimensional Impact Modelling with Three Degrees of Freedom and Its Application in the Dynamics of Planing Hulls

“…Algarín and Tascón [16] extended the model developed by Wagner [2] for asymmetric sections with vertical velocity and flow separation. Bilandi et al [17] applied the 2D+t theory to evaluate the resistance and dynamic trim in single-stepped hulls, and the results showed reasonably good agreement with experimental data for a Froude number up to 2.0. Tascón and Algarín [18] simulated the impact of asymmetric sections with vertical and rotational velocity.…”

Performance Assessment of a Planing Hull Using the Smoothed Particle Hydrodynamics Method

“…Moreover, a pronounced interest comes from light-weight small boats in competitive sailing. A significant number of theoretical studies and experimental tests have been carried so far, for example, in Thornhill et al, (2003) [5], Begovic and Bertorello, (2012) [6], Matveev, (2014) [7], Sukas et al, (2017) [8], Jiang et al, (2016) [9], De Marco et al, (2017) [10], Niazmand Bilandi et al, (2018) [11], Tavakoli et al, (2020) [12], to name a few. Details of the study conducted in the above-mentioned papers are available in the following table (Table 1).…”