Abstract

A flow–particle interaction solver was developed in this study. For the basic flow solver, an improved divergence-free-condition compensated coupled (IDFC2) framework was employed to predict the velocity and pressure field. In order to model the effect of solid particles, the differentially interpolated direct forcing immersed boundary (DIIB) method was incorporated with the IDFC2 framework, while the equation of motion was solved to predict the displacement, rotation and velocity of the particle. The hydrodynamic force and torque which appeared in the equations of motion were directly evaluated by fluid velocity and pressure, so as to eliminate the instability problem of the density ratio close to 1. In order to effectively evaluate the drag/lift forces acting on the particle, an interpolated kernel function was introduced. The present results will be compared with the benchmark solutions to validate the present flow–particle interaction solver.

Highlights

  • The offshore wind farm is a wind turbine installed in an offshore area where there is a strong wind field for a long period of time

  • The ultimate goal for this study is to develop the solver to model the interaction between the floating wind turbine and water/air interface

  • We proposed a framework to model the flow–particle interaction problem

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Summary

Introduction

The offshore wind farm is a wind turbine installed in an offshore area where there is a strong wind field for a long period of time. The immersed boundary method has been shown to have great potential for modeling the flow–particle interaction problem It is achieved by virtue of incorporating introduced momentum forcing terms in the equations of motion to predict the displacement, rotation and velocity of the solid object [1]. To alleviate the issue of evaluating drag and lift forces, Chiu and Poh [17] have recently successfully incorporated the improved divergence-free-condition compensated coupled (IDFC2 ) framework with the direct forcing immersed boundary (DIIB) method [18] for solving the flows with prescribed-motion time-varying geometries. The spurious force oscillation (SFO) can be efficiently alleviated and the calculation is relatively simple This motivated us to incorporate the IDFC2 framework with equation of particle motion for simulating the fluid–particle interactions.

Incompressible Navier–Stokes Equations
Equations of Motion for Solid Particle
Evaluation of Drag and Lift Forces
Derivation of IDFC Framework
Derivation of IDFC2 Framework
Results
To further show the accuracy of theshow present we
Flow Past Circular Cylinders in Tandem
Two Circular Cylinders Moving towards Each Other in Quiescent Flow
Free-Falling
20. The plots for the for free-falling cylindercylinder problem:
Drafting–Kissing–Tumbling
24. The predicted vorticity contour plots for thefor
Conclusions
Methods

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