scholarly journals Comparison between Vortex-In-Cell and Vortex Particle Methods on Two-Dimensional Problem

AVIA ◽  
2021 ◽  
Vol 3 (1) ◽  
Author(s):  
C X Canh ◽  
L R Zuhal ◽  
H Muhammad
Keyword(s):  
Boundary Condition ◽  
Numerical Methods ◽  
Nearest Neighbor ◽  
Particle Method ◽  
Vortex Method ◽  
Particle Methods ◽  
Immersed Boundary ◽  
Two Dimensional ◽  
N Body Problem ◽  
Vortex Particle

This research is concerned with the two-dimensional vortex method (VM) solvers. We develop and investigate the performance of the Vortex-In-Cell (VIC) and Vortex Particle Method (VPM) which are well known as the VM’s family members. The advantage of these both methods are that we can accelerate velocity computation procedure, an N-body problem in numerical methods, by using Fast Fourier Transform (FFT) and Fast Multipole Method (FMM), respectively. In addition, the viscous calculation process in VPM can be accelerated by using a scheme of Nearest Neighbor Particle Searching (NNPS) algorithms. Moreover, the no-through boundary condition treatment issue can be easily handled by using an immersed boundary condition for both methods. The accuracy and numerical cost of both numerical methods will be examined by simulating flow over an Impulsively Started Circular Cylinder and comparisons

scholarly journals A Fast Two-Dimensional Numerical Method for the Wake Simulation of a Vertical Axis Wind Turbine

Energies ◽  
2020 ◽  
Vol 14 (1) ◽  
pp. 49
Author(s):  
Zheng Yuan ◽  
Jin Jiang ◽  
Jun Zang ◽  
Qihu Sheng ◽  
Ke Sun ◽  
...  
Keyword(s):  
Velocity Distribution ◽  
Numerical Method ◽  
Three Dimensional ◽  
Particle Method ◽  
Vortex Method ◽  
Vertical Axis ◽  
Two Dimensional ◽  
Vertical Axis Wind Turbine ◽  
Wake Effect ◽  
Array Design

In the array design of the vertical axis wind turbines (VAWT), the wake effect of the upstream VAWT on the downstream VAWT needs to be considered. In order to simulate the velocity distribution of a VAWT wake rapidly, a new two-dimensional numerical method is proposed, which can make the array design easier and faster. In this new approach, the finite vortex method and vortex particle method are combined to simulate the generation and evolution of the vortex, respectively, the fast multipole method (FMM) is used to accelerate the calculation. Based on a characteristic of the VAWT wake, that is, the velocity distribution can be fitted into a power-law function, a new correction model is introduced to correct the three-dimensional effect of the VAWT wake. Finally, the simulation results can be approximated to the published experimental results in the first-order. As a new numerical method to simulate the complex VAWT wake, this paper proves the feasibility of the method and makes a preliminary validation. This method is not used to simulate the complex three-dimensional turbulent evolution but to simulate the velocity distribution quickly and relatively accurately, which meets the requirement for rapid simulation in the preliminary array design.

Solution-Responsive Particle Size Adaptivity in Lagrangian Vortex Particle Methods

2021 ◽  
Author(s):  
Mark J. Stock ◽  
Adrin Gharakhani
Keyword(s):  
Particle Size ◽  
Particle Method ◽  
Adaptive Method ◽  
Particle Methods ◽  
Core Size ◽  
Large Particle Size ◽  
The Core ◽  
Vortex Particle Method ◽  
Computational Resources ◽  
Vortex Particle

Abstract In order to minimize the computational resources necessary for a given level of accuracy in a Lagrangian Vortex Particle Method, a novel particle core size adaptivity scheme has been created. The method adapts locally to the solution while preventing large particle size gradients, and optionally adapts globally to focus effort on important regions. It is implemented in the diffusion solver, which uses the Vorticity Redistribution Method, by allowing and accounting for variations in the core radius of participating particles. We demonstrate the effectiveness of this new method on the diffusion of a δ-function and impulsively started flow over a circular cylinder at Re = 9,500. In each case, the adaptive method provides solutions with marginal loss of accuracy but with substantially fewer computational elements.

scholarly journals A Vortex Particle Method for Two-Dimensional Compressible Flow

2002 ◽  
Vol 179 (2) ◽  
pp. 371-399 ◽  
Author(s):  
Jeff D. Eldredge ◽  
Tim Colonius ◽  
Anthony Leonard
Keyword(s):  
Compressible Flow ◽  
Particle Method ◽  
Two Dimensional ◽  
Vortex Particle Method ◽  
Vortex Particle

Open-Source Accelerated Vortex Particle Methods for Unsteady Flow Simulation

2020 ◽  
Author(s):  
Mark J. Stock ◽  
Adrin Gharakhani
Keyword(s):  
Open Source ◽  
Hybrid Approach ◽  
Flow Simulation ◽  
Hardware Acceleration ◽  
Particle Method ◽  
Boundary Region ◽  
Particle Methods ◽  
Vortex Particle Method ◽  
Vorticity Transport ◽  
Vortex Particle

Abstract A new open-source CFD solver is being developed based on the vorticity transport equations for simulation of unsteady incompressible flow in complex geometries. This is a hybrid approach, which uses a compact high-order finite-difference method to predict the flow in the near-boundary region and a Lagrangian Vortex Particle Method (LVPM) for the off-boundary vorticity-containing region. This paper focuses on the latter, presenting the particular LVPM implemented in the package and demonstrating selected benchmarks from simulations of flow in 2D lid-driven cavity, flow around a rotating cylinder (both at Re = 1,000), and impulsively started flow over a sphere at Re = 25, 40, 60, 80, 100. In addition, novel ideas on the development of an efficient and lightweight Graphical User Interface (GUI), as well as new approaches to cross-platform hardware acceleration for Teraflop/s computing on a desktop — achieving over two orders of magnitude speedup vs. an optimized serial code — are discussed.

Particle Methods for Viscous Flows: Analogies and Differences Between the SPH and DVH Methods

2016 ◽  
Vol 20 (3) ◽  
pp. 660-688 ◽  
Author(s):  
Andrea Colagrossi ◽  
Emanuele Rossi ◽  
Salvatore Marrone ◽  
David Le Touzé
Keyword(s):  
Particle Method ◽  
Viscous Flows ◽  
Numerical Approach ◽  
Point Of View ◽  
Particle Methods ◽  
Theoretical Point ◽  
Vortex Particle Method ◽  
Sph Model ◽  
High Reynolds ◽  
Vortex Particle

AbstractIn this work two particle methods are studied in the context of viscous flows. The first one is a Vortex Particle Method, called Diffused Vortex Hydrodynamics (DVH), recently developed to simulate complex viscous flows at medium and high Reynolds regimes. This method presents some similarities with the SPH model and its Lagrangian meshless nature, even if it is based on a different numerical approach. Advantages and drawbacks of the two methods have been previously studied in Colagrossi et al. [1] from a theoretical point of view and in Rossi et al. [2], where these particle methods have been tested on selected benchmarks. Further investigations are presented in this article highlighting analogies and differences between the two particle models.

scholarly journals Hybrid Vortex Method for the Aerodynamic Analysis of Wind Turbine

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Hao Hu ◽  
Bo Gu ◽  
Hongtao Zhang ◽  
Xiancheng Song ◽  
Wanli Zhao
Keyword(s):  
Wind Turbine ◽  
Numerical Procedure ◽  
Particle Method ◽  
Vortex Method ◽  
Panel Method ◽  
Vortex Sheets ◽  
Flow Equations ◽  
Vortex Particle Method ◽  
Aerodynamic Parameters ◽  
Vortex Particle

The hybrid vortex method, in which vortex panel method is combined with the viscous-vortex particle method (HPVP), was established to model the wind turbine aerodynamic and relevant numerical procedure program was developed to solve flow equations. The panel method was used to calculate the blade surface vortex sheets and the vortex particle method was employed to simulate the blade wake vortices. As a result of numerical calculations on the flow over a wind turbine, the HPVP method shows significant advantages in accuracy and less computation resource consuming. The validation of the aerodynamic parameters against Phase VI wind turbine experimental data is performed, which shows reasonable agreement.

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