Numerical simulation of unsteady flows of cold plasma during plasma actuator operation

Redchyts, DO, Moiseienko, SV
Space Sci. & Technol. 2021, 27 ;(1):85-96
Publication Language: Ukrainian
The numerical simulation of unsteady flows of cold plasma is considered in this article. A low-temperature non-equilibrium ideal plasma is formed when the plasma actuator interacts with the air. The mathematical model has been developed to describe the behavior of low-temperature plasma. It is based on non-stationary equations describing the dynamics of charged particles and plasma electrodynamics equations. The 14 types of particles: metastable and excited nitrogen and oxygen atoms, positive and negative ions, electrons and atomic oxygen are considered. Volumetric and surface chemical reactions describing processes in a barrier discharge that occur above the dielectric surface are considered. For non-stationary equations of plasma dynamics, an implicit numerical algorithm with pseudo-time iteration has been developed, which is based on a finite-volume approach.
           The equation for the electrostatic potential with sources was solved using the generalized minimal residual method with incomplete LU preconditioning. In non-stationary equations for the density of plasma particles, the drift derivatives were approximated using the TVD scheme with the MinMod limiter function. The derivatives in the equation for the electric potential were calculated using finite-volume relations taking into account the upwind approximation of the concentration of charged plasma particles. The numerical results of the generation, propagation and destruction of a streamer during a dielectric barrier discharge are obtained. The unsteady plasma characteristics in the region above the dielectric surface are analyzed, including the distribution of the particles density, electric potential and the Lorentz force components. The results of numerical simulation of unsteady flows of low-temperature plasma are in good agreement with the available experimental data.
Keywords: cold plasma, mathematical simulation, numerical methods, plasma actuator
1. Abe T., Takagaki M. (2009). Momentum coupling and flow induction in a DBD plasma actuator. AIAA Paper, No. 1622, 8.
2. Bogdanov E. A., Kolobov V. I., Kudryavtsev A. A., Tsendin L. D. (2002). Scaling laws for oxygen discharge plasmas. Technical Phys., 47(8), 946—954.
3. Corke T., Jumper E., Post M., Orlov D. (2002). Application of weakly ionized plasmas as wing flow control devices. AIAA Paper, No. 350, 9.
4. Enloe C., McLaughlin T., Gregory J., Medina R. (2008). Surface potential and electric field structure in the aerodynamic plasma actuator. AIAA Paper, No. 1103, 11.
5. Enloe C., McLaughlin T., Van Dyken R., Fischer J. (2004). Plasma structure in the aerodynamic plasma actuator. AIAA Paper, No. 844, 8.
6. Font G., Enloe C., Newcomb J., Teague A., Vasso A. (2010). Effects of oxygen content on the behavior of the dielectric barrier discharge aerodynamic plasma actuator. AIAA Paper, No. 545, 16.
7. Forte M., Jolibois J., Moreau E., Touchard G., Cazalens M. (2006). Optimization of a dielectric barrier discharge actuator by stationary and non-stationary measurements of the induced flow velocity — application to airflow control. AIAA Paper, No. 2863, 9.
8. Hagelaar G. J., Pitchford L. C. (2005). Solving the Boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid models. Plasma Sources Sci. Technol., 44, 6, 722—733.
9. Kossyi A., Kostinsky A., Matveyev A., Silakov V. (1992). Kinetic scheme of the non-equilibrium discharge in nitrogenoxygen mixtures. Plasma Sources Sci. and Technol. Technical Phys., 1, 3, 207—220.
10. Nudnova M., Kindusheva S., Aleksandrov N., Starikovskiy A. (2010). Rate of plasma thermalization of pulsed nanosecond surface dielectric barrier discharge. AIAA Paper, No. 465, 15.