A circle theorem technique to handle 2-D flows around arbitrary cylinders in discrete vortex method

Guo, Jin‐Liang; Zou, Li; Jiang, Yichen; Zong, Zhi; Sun, Zhe

doi:10.1016/j.jweia.2020.104496

Cited by 10 publications

(7 citation statements)

References 46 publications

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“…Ferreira 15 conducted 2D and 3D potential flow simulations to gain insights into the aerodynamics of VAWT. Jin et al 16 investigated 2D unsteady flows around polygons using a vortex method. Pan et al 17 implemented the vortex particle method to simulate transient blade forces and wake fields around the turbine.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of an idealized Darrieus–Savonius combined vertical axis wind turbine

Pan,

Ferreira,

van Zuijlen

2024

Wind Energy

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To investigate the effect of force distributions of each turbine component on the power performance of the Darrieus–Savonius combined vertical axis wind turbine (hybrid VAWT), the hybrid VAWT is modeled as idealized turbine under various force distributions. The goal of idealization is to simplify the intricate interactions between the Savonius and Darrieus components. The simulation actuator surfaces with uniform force distributions lead to a cost‐effective way to identify the optimal force distribution of each turbine component. The numerical model was validated against momentum theory. The results demonstrated that the numerical and theoretical results yield similar predictions in the low‐thrust cases but show differences in the high‐thrust cases. The maximum power coefficient of an idealized hybrid VAWT with given thrust coefficient is lower than that of a single actuator. This is a consequence of the nonoptimal loading on the actuator. The results indicate that an idealized hybrid VAWT does not show a significant power increase compared with an optimal single Darrieus rotor. Therefore, the presence of a Savonius rotor inside a Darrieus rotor leads to a lower power output in any circumstance. The hybrid configuration is primarily advantageous for the start‐up performance of the combined rotor, which is not explored in this study.

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Section: Introductionmentioning

confidence: 99%

Performance analysis of an idealized Darrieus–Savonius combined vertical axis wind turbine

Pan,

Ferreira,

van Zuijlen

2024

Wind Energy

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“…Jin et al [9] suggested a circle theorem technique to handle 2-D flows around arbitrary cylinders in discrete vortex method. In this work, a novel boundary method is proposed based on the circle theorem technique.…”

Section: Introductionmentioning

confidence: 99%

Use of Random Vortex Method in Simulating Non-Newtonian Fluid Flow in a T-junction for Various Reynolds Numbers and Power-law Indexes

2022

IJE

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Past studies show that until now the Random Vortex Method (RVM) has only been used to solve the flow of Newtonian fluids. In this paper, by presenting a new approach, the RVM is developed for the first time with the aim of simulating the flow of non-Newtonian fluids. For this purpose, a numerical simulation of two-dimensional flow of non-Newtonian power-law fluid in a T-junction is presented. The simulation is conducted for Re = 50-200 at the inlet of the channel and different power-law indexes (n = 0.2-1.4). The RVM solves the Navier-Stokes equations as a function of time and determines the velocity at any point of the channel directly and without determining a mesh on the geometry. Potential velocity, an initial condition for the flow analysis by the RVM, is obtained using the Schwarz-Christoffel conformal mapping. The effect of two parameters of power-law index and Reynolds number on the recirculation zone has been investigated. Acceptable agreement among the results of the present study and the existing numerical and experimental results shows the capability of the proposed method, according to which the RVM can be considered a powerful promising method in simulating the non-Newtonian fluids in laminar and turbulent flow regimes.

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“…Additionally, these numerical approaches are dependent on the grid quality, especially in high Reynolds numbers [10]. Furthermore, it is particularly computationally expensive and time consuming for simulating certain train operating conditions, such as the modelling of trains in tunnels [11], where the aspect of most concern is the pressure variations induced by the passage of the train.…”

Section: Introductionmentioning

confidence: 99%

A Separated-Flow Model for 2-D Viscous Flows around Bluff Bodies Using the Panel Method

Soper

et al. 2022

Applied Sciences

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Panel methods have been applied to many fields of fluid owing to their computational efficiency. However, their applications are limited in simulating highly turbulent flow with separations due to the inviscid flow assumptions, such as those associated with train aerodynamics. Some researchers employed the wake models to simulate large vortices in the wake of trains with predetermined separation locations according to experimental results. In this paper, a modified 2-D constant source/vortex panel method for modelling the separated flow around 2-D bluff bodies is presented. The proposed separated-flow model includes the prediction of separation locations based on the integral boundary-layer method and the shear layer, and large vortices in the wake of the bluff bodies are modelled by the wake model. The proposed method is validated by comparing the calculated pressure distribution on a 2-D circular cylinder with the experimental results. The method is then applied to simulate the flow around a 2-D generic train and calculate the pressure distribution on the train. Since trains run very close to the ground, the effect of the ground configuration on the pressure distribution of the 2-D train is also investigated in this paper using the proposed method. The main contribution of the work is to present a 2-D separated-flow model with wake modelling and separation prediction. The proposed model can be used in the rapid evaluation of bluff-body aerodynamics.

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A circle theorem technique to handle 2-D flows around arbitrary cylinders in discrete vortex method

Cited by 10 publications

References 46 publications

Performance analysis of an idealized Darrieus–Savonius combined vertical axis wind turbine

Performance analysis of an idealized Darrieus–Savonius combined vertical axis wind turbine

Use of Random Vortex Method in Simulating Non-Newtonian Fluid Flow in a T-junction for Various Reynolds Numbers and Power-law Indexes

A Separated-Flow Model for 2-D Viscous Flows around Bluff Bodies Using the Panel Method

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