A Pressure Based Compressible Solver for Electric Arc-plasma Simulation

Authors

  • S. Coseru MFT, UMR CNRS 5502, Université de Toulouse, 2 Allée du Professeur Camille Soula, 31400 Toulouse, France
  • S. Tanguy LAPLACE, UMR CNRS 5213, Université Paul Sabatier Toulouse 3, 118 route de Narbonne, 31062 Toulouse Cedex France
  • P. Freton IMFT, UMR CNRS 5502, Université de Toulouse, 2 Allée du Professeur Camille Soula, 31400 Toulouse, France
  • J.-J. Gonzalez IMFT, UMR CNRS 5502, Université de Toulouse, 2 Allée du Professeur Camille Soula, 31400 Toulouse, France

DOI:

https://doi.org/10.14311/ppt.2023.3.159

Keywords:

electric arc, plasma, compressible, pressure-based

Abstract

The electric arc discharge in a liquid medium is used in several applications such as the sterilization of the liquid by UV radiation, the fracturing of rocks by shock wave, the circuit breakers in oil bath or the forming of mechanical parts. Thus, describing the physics of the arc in a liquid and in particular its interaction with a liquid interface is an important issue to better characterize this type of configuration. However, such a challenging task requires to couple high-fidelity solver for compressible two-phase flows with liquid phase change and a plasma solver to describe the plasma and its interaction with the bubble. To study this type of medium, we use a compressible formulation of the fluid equations. For this purpose, a pressure based solver has been developed for the computation of the energy conservation equation. Moreover, our numerical model uses the immersed boundary method to simulate the solid electrodes. The numerical model is briefly described in this paper and the first results of the electric arc discharge in steam water are presented. To our knowledge this pressure based model has never been used to describe plasmas and electric arc discharge.

References

F. Xiao, R. Akoh, and S. Ii. Unified formulation for compressible and incompressible flows by using multi-integrated moments ii: Multi-dimensional version for compressible and incompressible flows. Journal of Computational Physics, 213(1):31–56, 2006. doi:10.1016/j.jcp.2005.08.002.

N. Kwatra, J. Su, J. T. Grétarsson, and R. Fedkiw. A method for avoiding the acoustic time step restriction in compressible flow. Journal of Computational Physics, 228(11):4146–4161, 2009. doi:10.1016/j.jcp.2009.02.027.

A. Urbano, M. Bibal, and S. Tanguy. A semi implicit compressible solver for two-phase flows of real fluids. Journal of Computational Physics, 456:111034, 2022. doi:10.1016/j.jcp.2022.111034.

A. Dalmon, M. Lepilliez, S. Tanguy, et al. Direct numerical simulation of a bubble motion in a spherical tank under external forces and microgravity conditions. Journal of Fluid Mechanics, 849:467–497, 2018. doi:10.1017/jfm.2018.389.

M. Lepilliez, E. R. Popescu, F. Gibou, and S. Tanguy. On two-phase flow solvers in irregular domains with contact line. Journal of Computational Physics, 321:1217–1251, 2016. doi:10.1016/j.jcp.2016.06.013.

R. Borges, M. Carmona, B. Costa, and W. S. Don. An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Journal of Computational Physics, 227(6):3191–3211, 2008. doi:10.1016/j.jcp.2007.11.038.

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Published

2023-10-20

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Articles