Cell-centered particle weighting algorithm for PIC simulations in a non-uniform 2D axisymmetric mesh

Araki, Samuel J.; Wirz, Richard E.

doi:10.1016/j.jcp.2014.04.037

Cited by 11 publications

(7 citation statements)

References 8 publications

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“…To prevent them, Ruyten [20] proposed density-conserving PIC and cloud-in-cell (CIC) shape factors in cylindrical coordinates, while Larson [21] applied correction factors to the nodal weighted density. In order to generalize these approaches to a non-uniform cylindrical mesh, Verboncoeur suggested the use of corrected nodal weighted volumes in a generalized weighting scheme [22], which has later been applied to general non-uniform and unstructured meshes with triangular and quadrilateral elements by Vázquez and Castellanos [23] and Araki and Wirz [24].…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric plasma plume characterization with 2D and 3D particle codes

Domínguez-Vázquez

Cichocki

Merino

et al. 2018

Plasma Sources Sci. Technol.

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The expansion of a rarefied axisymmetric plume emitted by a plasma thruster is analyzed and compared with a 3D Cartesian-type and a 2D cylindrical-type simulation code, both based on a particle-in-cell formulation for the heavy species and a simple Boltzmann-type model for the electrons. The first part of the paper discusses the 2D code numerical challenges in the moving of particles, their generation within the cells, and the weighting to the nodes, caused by the radial non-uniformity and the singular and boundary character of the symmetry axis. The second part benchmarks the 2D code against the 3D one for a high-energy, unmagnetized plume with three major species populations (injected neutrals, singly-charged and doubly-charged ions) and three minor species populations (constituted by particles coming from collisional processes, such as the charge-exchange reactions). The excellent agreement found in the results proves that both plume codes are capable of simulating, with a reasonable noise level, heavy particle populations differing by several orders of magnitude in number density. For simulations with a comparable level of accuracy, the 2D code presents a ten-fold gain in computational cost, although the symmetry axis remains its weakest point, due to particle depletion there and the related weighting noise.

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Section: Introductionmentioning

confidence: 99%

Axisymmetric plasma plume characterization with 2D and 3D particle codes

Domínguez-Vázquez

Cichocki

Merino

et al. 2018

Plasma Sources Sci. Technol.

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“…PIC simulations were presented in (Araki and Wirz, 2014). These simulations provided a significant improvement for density calculations.…”

Section: Two Dimensional (2d) Meshmentioning

confidence: 99%

State-of-art review of information diffusion models and their impact on social network vulnerabilities

Razaque

Rizvi

Khan

et al. 2022

Journal of King Saud University - Computer and Information Scie

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a b s t r a c tWith the development of information society and network technology, people increasingly depend on information found on the Internet. At the same time, the models of information diffusion on the Internet are changing as well. However, these models experience the problem due to the fast development of network technologies. There is no thorough research in regards to the latest models and their applications and advantages. As a result, it is essential to have a comprehensive study of information diffusion models.The primary goal of this research is to provide a comparative study on the existing models such as the Ising model, Sznajd model, SIR model, SICR model, Game theory and social networking services models. We discuss several of their applications with the existing limitations and further categorizations. Vulnerabilities and privacy challenges of information diffusion models are extensively explored. Furthermore, categorization including strengths and weaknesses are discussed. Finally, limitations and recommendations are suggested with diverse solutions for the improvement of the information diffusion models and envisioned future research directions.

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“…However, applying a PIC method makes the calculation difficult due to the large superparticle number and the requirement of calculating Poisson's equation with a smaller grid than the Debye length. There is also a way to perform simulation in an unstructured mesh other than a square grid [17,18], but a PIC simulation mainly uses a square mesh with a finite difference method to reduce errors in weighting and calculation time [19]. Therefore, it is challenging to simulate curved structures with a structured mesh.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional particle-in-cell simulation of electron heating effect in multiple hollow cathode trenches with curved boundary

Park

Sakiyama²,

Lee³

2023

Front. Phys.

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A particle-in-cell simulation is suitable for simulating capacitively coupled plasma devices because it calculates the trajectory of particles with arbitrary energy distributions and has the advantage of analyzing sheath dynamics precisely. Implementing the ghost grid method in the Poisson solver makes it possible to simulate a curved structure in the structured grids. The electron transport and heating mechanism are determined according to the two-dimensional (2D) sheath dynamics. The hollow cathode effect on electron transport was analyzed by varying the hole shape and gas pressure. The spatial distributions of electron density and temperature are influenced by the energy relaxation length of electrons, which is affected by the energy distribution function and gas pressure. As a result, a new electron heating mode appears in the 2D structure.

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Cell-centered particle weighting algorithm for PIC simulations in a non-uniform 2D axisymmetric mesh

Cited by 11 publications

References 8 publications

Axisymmetric plasma plume characterization with 2D and 3D particle codes

Axisymmetric plasma plume characterization with 2D and 3D particle codes

State-of-art review of information diffusion models and their impact on social network vulnerabilities

Two-dimensional particle-in-cell simulation of electron heating effect in multiple hollow cathode trenches with curved boundary

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