A conformally mapped numerical wave tank supporting piston and flap wavemakers

TL;DR

This paper introduces a novel conformally mapped numerical wave tank that accurately simulates water waves generated by piston and flap wavemakers, validated against theoretical and experimental data, and suitable for real-time applications.

Contribution

It presents the first conformal mapping-based numerical wave tank incorporating piston and flap wavemakers, enhancing simulation accuracy and efficiency.

Findings

Accurately predicts spectral evolution of wave fields.

Validated against theoretical and experimental data.

Computationally efficient for real-time applications.

Abstract

This paper advances the development of the conformally mapped model for accurate simulation of two-dimensional water waves, here with emphasis on mapping boundaries that represent piston- and flap-type wavemakers. With this, a complete numerical representation of wave flumes is provided -- the first of its kind based on conformal mapping. The model is validated both theoretically and experimentally, with special attention devoted to wavemaker characteristics and the generation of spurious waves. It is further demonstrated that the method accurately predicts the spectral evolutions of generated wave fields. The model is computationally efficient, with beyond real-time computation but for the smallest tested periods, making it ideal for numerical wave calibration and for replicating experiments.