Optimization by marker removal for particle simulations

Deng, Wenjun; Fu, G. Y.

doi:10.1016/j.cpc.2013.08.019

Cited by 8 publications

(8 citation statements)

References 36 publications

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“…Notably, methods based on δf or re-mapping of the distribution function have been successful to reduce particle noise, and hence enhance the accuracy of PIC simulations (see, e.g. [17,78,26]). Of course, this aspect lies in the realm of algorithm optimization.…”

Section: Discussionmentioning

confidence: 99%

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On the velocity space discretization for the Vlasov–Poisson system: Comparison between implicit Hermite spectral and Particle-in-Cell methods

Camporeale

Delzanno

Bergen

et al. 2016

Computer Physics Communications

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a b s t r a c tWe describe a spectral method for the numerical solution of the Vlasov-Poisson system where the velocity space is decomposed by means of an Hermite basis, and the configuration space is discretized via a Fourier decomposition. The novelty of our approach is an implicit time discretization that allows exact conservation of charge, momentum and energy. The computational efficiency and the cost-effectiveness of this method are compared to the fully-implicit PIC method recently introduced by Lapenta (2011) andChen et al. (2011). The following examples are discussed: Langmuir wave, Landau damping, ion-acoustic wave, two-stream instability. The Fourier-Hermite spectral method can achieve solutions that are several orders of magnitude more accurate at a fraction of the cost with respect to PIC.

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Section: Discussionmentioning

confidence: 99%

“…We note that methods based on δf or re-mapping of the distribution function have been developed in the PIC community to reduce particle noise. This has led to some very interesting work (see for instance [17,78,26]), but has not yet resulted in a commonly accepted denoising technique adopted by the PIC community.…”

Section: Introductionmentioning

confidence: 99%

On the velocity space discretization for the Vlasov–Poisson system: Comparison between implicit Hermite spectral and Particle-in-Cell methods

Camporeale

Delzanno

Bergen

et al. 2016

Computer Physics Communications

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“…PIC1DP [29,30] is a δf PIC code simulating 1D electrostatic plasma by solving the Vlasov-Poisson system. It upgrades an original 1D code, PIC1D [48], by recasting the PIC approach in a vector-matrix form and adopting PETSc [49], a suite of data structures and routines, for the parallel implementation of the code.…”

Section: Pic1dpmentioning

confidence: 99%

“…In the present investigation, we compare the results obtained by different codes, each applied to a different problem. In particular, we present the results obtained by two 3D codes: XHMGC [16,26,27] and HAGIS [28]; and a simple δf Vlasov-Poisson 1D code, PIC1D-PETSc [29,30] (indicated, in the following, as PIC1DP).…”

Section: Introductionmentioning

confidence: 99%

Saturation of Alfvén modes in tokamak plasmas investigated by Hamiltonian mapping techniques

et al. 2017

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Nonlinear dynamics of single toroidal number gap Alfvén modes destabilised by the the resonant interaction with fast ions is investigated, in Tokamak equilibria, by means of Hamiltonian mapping techniques. The results obtained by two different simulation codes, XHMGC and HAGIS, are considered with reference to n = 2 Beta induced Alfvén Eigenmodes and, respectively n = 6 Toroidal Alfvén Eigenmodes; simulations of the bump-on-tail instability performed by a 1-dimensional code, PIC1DP, are also analysed. A general feature emerges from these results: modes saturate as the resonant-particle distribution function is flattened, because of the fluxes associated to the motion of particles captured in the potential well of the wave, over the whole region where mode-particle power transfer can take place in the linear phase. Such region can be limited by the narrowest of the resonance width and the mode width. In the former case, mode amplitude at saturation exhibits a quadratic scaling with the linear growth rate; in the latter case, a linear growth rate.These findings are explained in terms of the approximate analytic solution of a nonlinear pendulum model. They are also used to prove that the radial width of the single poloidal harmonic sets an upper limit to the radial displacement of passing fast ions produced by a single-toroidal-number gap mode in the large n limit, irrespectively of the possible existence of a large global mode structure formed by many harmonics.

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“…Substituting this expression in Eq. (34) and taking the primitive of the exact differentiation, it naturally provides the relevant form of the ratio J /J QL , i.e.,…”

Section: Corrections To the Instantaneous Ql Growth Ratementioning

confidence: 99%

Quasi-linear model for the beam-plasma instability: analysis of the self-consistent evolution

Montani

Cianfrani

Carlevaro

2019

Plasma Phys. Control. Fusion

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We re-analyze the quasi-linear self consistent dynamics for the beam-plasma instability, by comparing the theory predictions to numerical simulations of the corresponding Hamiltonian system. While the diffusive features of the asymptotic dynamics are reliably predicted, the early temporal mesoscale transport appears less efficient in reproducing the convective feature of the self-consistent scenario. As a result, we identify the origin of the observed discrepancy in the underlying quasilinear model assumption that the distribution function is quasi-stationary. Furthermore, we provide a correction to the instantaneous quasi-linear growth rate based on a linear expansion of the distribution function time dependence, and we successfully test this revised formulation for the spectral evolution during the temporal mesoscale.

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Optimization by marker removal for particle simulations

Cited by 8 publications

References 36 publications

On the velocity space discretization for the Vlasov–Poisson system: Comparison between implicit Hermite spectral and Particle-in-Cell methods

On the velocity space discretization for the Vlasov–Poisson system: Comparison between implicit Hermite spectral and Particle-in-Cell methods

Saturation of Alfvén modes in tokamak plasmas investigated by Hamiltonian mapping techniques

Quasi-linear model for the beam-plasma instability: analysis of the self-consistent evolution

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