2014
DOI: 10.1088/0022-3727/47/38/385201
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A ‘frozen electric-field’ approach to simulate repetitively pulsed nanosecond plasma discharges and ignition of hydrogen–air mixtures

Abstract: High-fidelity modelling of nanosecond repetitively pulsed discharges (NRPDs) is burdened by the multiple time and length scales and large chemistry mechanisms involved, which prohibit detailed analyses and parametric studies. In the present work, we propose a 'frozen electric-field' modelling approach to expedite the NRPD simulations without adverse effects on the solution accuracy. First, a burst of nanosecond voltage pulses is simulated self-consistently until the discharge reaches a stationary state. The ca… Show more

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Cited by 9 publications
(24 citation statements)
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“…To tackle the multiscale nature of the problem, adaptive time stepping is implemented with small time steps (10 −13 − 10 −12 s) during each voltage pulse and larger time steps (10 −10 s) in the gap between two consecutive pulses. More details about the numerical methods can be found in the work by Nagaraja et al [30,31] and Yang et al [36].…”
Section: Fitting Of Voltage Waveformmentioning
confidence: 99%
See 1 more Smart Citation
“…To tackle the multiscale nature of the problem, adaptive time stepping is implemented with small time steps (10 −13 − 10 −12 s) during each voltage pulse and larger time steps (10 −10 s) in the gap between two consecutive pulses. More details about the numerical methods can be found in the work by Nagaraja et al [30,31] and Yang et al [36].…”
Section: Fitting Of Voltage Waveformmentioning
confidence: 99%
“…Recently, Nagaraja et al [7,30,31] and Yang et al [6,32] developed a self-consistent, one-dimensional (1D) numerical framework to simulate pulsed nanosecond discharges in fuel/air mixtures. The model is capable of resolving the transient electric field during each nanosecond discharge pulse as well as calculating the cumulative effects of multiple pulses on fuel oxidation and combustion.…”
Section: Introductionmentioning
confidence: 99%
“…The "frozen electric field" strategy takes advantage of the quasi-periodic behaviors of the electrical field to avoid the re-calculation of the electric field for each pulse. [25,28] show that the electrical characteristics are not exactly periodic, but approach pure periodicity after a certain number of pulses, when the input energy per pulse becomes stable (that is, the field achieves quasi-equilibrium). After the plasma has reached quasi-equilibrium, the accumulated input energy is linearly proportional to the number of pulses.…”
Section: "Frozen Electric Field" Strategymentioning
confidence: 99%
“…After the plasma has reached quasi-equilibrium, the accumulated input energy is linearly proportional to the number of pulses. Based on this observation, a "frozen electric field" strategy [25] is implemented. Simulation conducted in H2/air mixture at 114 Torr and 473 K initial pressure and temperature, respectively, at 40 kHz repetition rate.…”
Section: "Frozen Electric Field" Strategymentioning
confidence: 99%
“…Because of the lack of reliable experimental measurements for the permittivity and sheath formation in plasma-assisted combustion, the solution of Poisson equation for the electric field distribution becomes difficult without appropriate boundary conditions and plasma properties [1], [15]- [17]. Tomography by definition refers to a method of producing a multidimensional image of the internal characteristics of a specified region by observation and recording of the differences in the effects on the passage of waves of energy impinging on those structures.…”
Section: Introductionmentioning
confidence: 99%