Development of a Finite Element Solver Including a Level-Set Method for Modeling Hydrokinetic Turbines

TL;DR

This paper introduces a novel 2D finite element solver with a level-set method for modeling hydrokinetic turbines, enabling detailed analysis of vortex dynamics and power extraction efficiency.

Contribution

A new numerical model combining FEM and level-set techniques for accurate simulation of vortex formation and separation on flapping foils in hydrokinetic turbines.

Findings

Validated solver against benchmark problems.

Analyzed mesh density effects on accuracy.

Initial hydrodynamic insights into vortex behavior.

Abstract

Hydrokinetic flapping foil turbines in swing-arm mode have gained considerable interest in recent years because of their enhanced capability to extract power, and improved efficiency compared to foils in simple mode. The performance of foil turbines is closely linked to the development and separation of the Leading-Edge Vortex (LEV). To accurately model the formation and the separation of the LEV on flapping foils, a purpose-built 2D numerical model was developed. The model is based on the weighted residual Finite Element Method (FEM); this is combined with an interface capturing technique, Level-Set Method (LSM), which was used to create a reliable and high-quality numerical solver suitable for hydrodynamic investigations. The solver was validated against well-known static and dynamic benchmark problems. The effect of the mesh density was analyzed and discussed. This paper further covers an initial investigation of the hydrodynamics of flapping foil in swing-arm mode, by studying the structure of the vortex around a NACA0012 foil. The presented method helps to provide a better understanding of the relation between the Leading-Edge Vortex creation, growth, and separation over the flapping foil in swing-arm mode and the extracted power from a hydrokinetic turbine.