A fast resurrected core-spreading vortex method with no-slip boundary conditions

Huang, Mei‐Jiau; Su, Huan-Xun; Chen, Li-Chieh

doi:10.1016/j.jcp.2008.11.026

Cited by 13 publications

(7 citation statements)

References 36 publications

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“…However, the VIC requires a bigger domain size to get better results. From figure 3, it can be seen that the simulation performed using the current work agrees with the reference Huang 2009 [9]. The shape of the blobs is matching at the three sample times of two methods with reference…”

Section: Resultssupporting

confidence: 73%

“…The stop condition for this iteration method is using iterative error s = 10−5 or maximum 1500 interaction for each time step. For VPM running, we also take dt = 0.005 and particle core-size σ = 0.025 The VPM's results will be analyzed with VIC's results in Cao 2016 [3] and reference's results of Ploumhans 2000 [7] and Huang 2009 [9]. The table 1 shows the cases's cost with the same running configuration: dt = 0.005, resolution = 0.025, using Euler integration first order convection.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

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

Canh¹,

Zuhal²,

Muhammad³

2021

avia

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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

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Section: Resultssupporting

confidence: 73%

Section: Resultsmentioning

confidence: 99%

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

Canh¹,

Zuhal²,

Muhammad³

2021

avia

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“…Whereas Dynnikova (2009) explored the construction of a hierarchical structure of regions (tree) in order to accelerate the calculations. A different approach represents Huang, Su & Chen (2009), who introduced a concept of residual circulation in that sense that only a partial circulation of the vortex sheet is diffused into the flow field. The cited examples show that accelerating calculations with hardware methods has not been of interest to the researchers.…”

Section: Literature Reviewmentioning

confidence: 99%

Productivity of a Low-Budget Computer Cluster Applied to Overcome the N-Body Problem

Nowicki

Gregosiewicz²,

Lagodowski³

2021

acs

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The classical n-body problem in physics addresses the prediction of individual motions of a group of celestial bodies under gravitational forces and has been studied since Isaac Newton formulated his laws. Nowadays the n-body problem has been recognized in many more fields of science and engineering. Each problem of mutual interaction between objects forming a dynamic group is called as the n-body problem. The cost of the direct algorithm for the problem is O(n2) and is not acceptable from the practical point of view. For this reason cheaper algorithms have been developed successfully reducing the cost to O(nln(n)) or even O(n). Because further improvement of the algorithms is unlikely to happen it is the hardware solutions which can still accelerate the calculations. The obvious answer here is a computer cluster that can preform the calculations in parallel. This paper focuses on the performance of a low-budget computer cluster created on ad hoc basis applied to n-body problem calculation. In order to maintain engineering valuable results a real technical issue was selected to study. It was Discrete Vortex Method that is used for simulating air flows. The presented research included writing original computer code, building a computer cluster, preforming simulations and comparing the results.

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“…In order to control the size of the blobs, Rossi, Huang, et al [14] limited the blob size to a maximum core width . The splitting scheme splits a parent vortex ofcore width and strength into smaller vortices, whenever is greater than .…”

Section: Splitting Schemementioning

confidence: 99%

Core Spreading Vortex Method for Simulating 3D Flow around Bluff Bodies

Zuhal

Duong

Sepnov³

et al. 2014

j.eng.technol.sci.

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This paper presents the development of the core spreading vortex element method, a mesh-free method for simulating 3D viscous flow over bluff bodies. The developed method simulates external flow around complex geometry by tracking local velocities and vorticities of particles introduced within the fluid domain. The viscous effect is modeled using the core spreading method coupled with a splitting spatial adaption scheme and a smoothing interpolation scheme for overlapping issues and population control, respectively. The particle's velocity is calculated using the Biot-Savart formulation. To accelerate computation, the fast multipole method (FMM) is employed. The solver was validated using a number of benchmark problems for both unbounded and bounded flows at low Reynolds numbers. For unbounded cases, simulation of the collision of two vortex rings was performed. The energy spectrum calculated using the current core spreading diffusion model approached that of the particle strength exchange model. To test the performance of the method in simulating bounded flow problems, simulation of flow around a sphere was carried out. The results were found to be in very good agreement with those reported in the literature.

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A fast resurrected core-spreading vortex method with no-slip boundary conditions

Cited by 13 publications

References 36 publications

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

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

Productivity of a Low-Budget Computer Cluster Applied to Overcome the N-Body Problem

Core Spreading Vortex Method for Simulating 3D Flow around Bluff Bodies

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