Verification of particle-in-cell simulations with Monte Carlo collisions

Turner, M. M.

doi:10.1088/0963-0252/25/5/054007

Cited by 26 publications

(24 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For the reference Case A, the mean number of numerical particles per squared cell at steady state being 212, we can roughly estimate the ratio ν num /ω p,e ≈ 4.72 × 10 −5 . According to [72], this ratio must be below 10 −4 to ensure negligible numerical collisions, which is the case here for all groups. However, to further confirm that numerical collisions are truly negligible and that statistical convergence is reached, tests with different numbers of particles per cell have been performed by five groups.…”

Section: Statistical Convergencementioning

confidence: 99%

2D radial-azimuthal particle-in-cell benchmark for E × B discharges

Villafana

Petronio

Denig

et al. 2021

Plasma Sources Sci. Technol.

View full text Add to dashboard Cite

In this paper we propose a representative simulation test-case of E × B discharges accounting for plasma wall interactions with the presence of both the Electron Cyclotron Drift Instability (ECDI) and the Modified-Two-Stream-Instability (MTSI). Seven independently developed Particle-In-Cell (PIC) codes have simulated this benchmark case, with the same specified conditions. The characteristics of the different codes and computing times are given. Results show that both instabilities were captured in a similar fashion and good agreement between the different PIC codes is reported as main plasma parameters were closely related within a 5% interval. The number of macroparticles per cell was also varied and statistical convergence was reached. Detailed outputs are given in the supplementary data, to be used by other similar groups in the perspective of code verification.

show abstract

Section: Statistical Convergencementioning

confidence: 99%

2D radial-azimuthal particle-in-cell benchmark for E × B discharges

Villafana

Petronio

Denig

et al. 2021

Plasma Sources Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…Therefore, there is an increasing need for verification and validation (V&V) of simulation codes. While validation implies comparison with real experiments, verification could be done in many ways such as unit and mezzanine tests for specific parts of a code [17], or benchmarking, i.e. codeto-code verification.…”

Section: Introductionmentioning

confidence: 99%

2D axial-azimuthal particle-in-cell benchmark for low-temperature partially magnetized plasmas

Charoy

Boeuf

Bourdon

et al. 2019

Plasma Sources Sci. Technol.

134

View full text Add to dashboard Cite

The increasing need to demonstrate the correctness of computer simulations has highlighted the importance of benchmarks. We define in this paper a representative simulation case to study low-temperature partially-magnetized plasmas. Seven independently developed Particle-In-Cell codes have simulated this benchmark case, with the same specified conditions. The characteristics of the codes used, such as implementation details or computing times and resources, are given. First, we compare at steady-state the time-averaged axial profiles of three main discharge parameters (axial electric field, ion density and electron temperature). We show that the results obtained exhibit a very good agreement within 5% between all the codes. As ExB discharges are known to cause instabilities propagating in the direction of electron drift, an analysis of these instabilities is then performed and a similar behaviour is retrieved between all the codes. A particular attention has been paid to the numerical convergence by varying the number of macroparticles per cell and we show that the chosen benchmark case displays a good convergence. Detailed outputs are given in the supplementary data, to be used by other similar codes in the perspective of code verification. 2D axial-azimuthal Particle-In-Cell benchmark for low-temperature partially ...

show abstract

“…Realistic LTP physics simulations are typically highly coupled physics problems involving phenomena such as electric fields, atomic and molecular chemistry amongst ground state neutrals, ions, multiple excited state species, surface feedback mechanisms, and photonic mechanisms, to name a few. Analytic solutions for even simple LTP physics problems are relatively rare and state-of-the-art verification is usually done on a piecewise basis testing individual phenomena [3]. A related activity is benchmarking codes by comparing results from independently-developed simulation tools for a well-defined problem.…”

Section: Introductionmentioning

confidence: 99%

“…1 Example of a simple PIRT (Phenomena/Physics/Parameter Identification and Ranking Table)that is utilized to identify important phenomena related to the envisioned validation problem. The PIRT is described in more detail in Sect 3.…”

mentioning

confidence: 99%

Challenges and opportunities in verification and validation of low temperature plasma simulations and experiments

et al. 2021

View full text Add to dashboard Cite

This paper describes the verification and validation (V&V) framework developed for the stochastic Particle-in-Cell, Direct Simulation Monte Carlo code Aleph. An ideal framework for V&V from the viewpoint of the authors is described where a physics problem is defined, and relevant physics models and parameters to the defined problem are assessed and captured in a Phenomena Identification and Ranking Table (PIRT). Numerous V&V examples guided by the PIRT for a simple gas discharge are shown to demonstrate the V&V process applied to a real-world simulation tool with the overall goal to demonstrably increase the confidence in the results for the simulation tool and its predictive capability. Although many examples are provided here to demonstrate elements of the framework, the primary goal of this work is to introduce this framework and not to provide a fully complete implementation, which would be a much longer document. Comparisons and contrasts are made to more usual approaches to V&V, and techniques new to the low temperature plasma community are introduced. Specific challenges relating to the sufficiency of available data (e.g., cross sections), the limits of ad hoc validation approaches, the additional difficulty of utilizing a stochastic simulation tool, and the extreme cost of formal validation are discussed.

show abstract

Verification of particle-in-cell simulations with Monte Carlo collisions

Cited by 26 publications

References 20 publications

2D radial-azimuthal particle-in-cell benchmark for E × B discharges

2D radial-azimuthal particle-in-cell benchmark for E × B discharges

2D axial-azimuthal particle-in-cell benchmark for low-temperature partially magnetized plasmas

Challenges and opportunities in verification and validation of low temperature plasma simulations and experiments

Contact Info

Product

Resources

About