Development of a parallel semi-implicit two-dimensional plasma fluid modeling code using finite-volume method

Abstract In this paper, the development of a two-dimensional plasma fluid modeling code using the cell-centered finite-volume method and its parallel implementation on distributed memory machines is reported. Simulated discharge currents agree very well with the measured data in a planar dielectric barrier discharge (DBD). Parallel performance of simulating helium DBD solved by the different degrees of overlapping of additive Schwarz method (ASM) preconditioned generalized minimal residual method (GMRES) for different modeling equations is investigated for a small and a large test problem, respectively, employing up to 128 processors. For the large test problem, almost linear speedup can be obtained by using up to 128 processors. Finally, a large-scale realistic two-dimensional DBD problem is employed to demonstrate the capability of the developed fluid modeling code for simulating the low-temperature plasma with complex chemical reactions.

[1]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[2]  Robert J. Hoekstra,et al.  Two‐dimensional hybrid model of inductively coupled plasma sources for etching , 1993 .

[3]  Mark J. Kushner,et al.  Hybrid modelling of low temperature plasmas for fundamental investigations and equipment design , 2009 .

[4]  A. Lichtenberg,et al.  Principles of Plasma Discharges and Materials Processing , 1994 .

[5]  van J Jan Dijk,et al.  Plasma modelling and numerical simulation , 2009 .

[6]  Annemie Bogaerts,et al.  The dominant role of impurities in the composition of high pressure noble gas plasmas , 2008 .

[7]  Edmond S. Perry,et al.  Encyclopedia of Chemical Technology. , 1961 .

[8]  M. Becker,et al.  Why the local-mean-energy approximation should be used in hydrodynamic plasma descriptions instead of the local-field approximation. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  J. Behnke,et al.  Modelling of the homogeneous barrier discharge in helium at atmospheric pressure , 2003 .

[10]  Wjm Wouter Brok,et al.  Modeling study on the influence of the pressure on a dielectric barrier discharge microplasma , 2007 .

[11]  M. Jiménez,et al.  The plasma modelling toolkit Plasimo , 2009 .

[12]  William Gropp,et al.  Parallel Newton-Krylov-Schwarz Algorithms for the Transonic Full Potential Equation , 1996, SIAM J. Sci. Comput..

[13]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[14]  Raymond E. Kirk,et al.  Encyclopedia of chemical technology , 1998 .

[15]  Xiaohui Yuan,et al.  Role of trace impurities in large-volume noble gas atmospheric-pressure glow discharges , 2002 .

[16]  L. Pitchford,et al.  Solving the Boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid models , 2005 .

[17]  C. Mayoux,et al.  Experimental and theoretical study of a glow discharge at atmospheric pressure controlled by dielectric barrier , 1998 .

[18]  Xiaohui Yuan,et al.  Computational study of capacitively coupled high-pressure glow discharges in helium , 2003 .

[19]  Andrew G. Glen,et al.  APPL , 2001 .

[20]  Edward A. Mason,et al.  Transport Properties of Gaseous Ions over a Wide Energy Range , 1976 .

[21]  R. LeVeque.  Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[22]  S. Reuter,et al.  Atomic oxygen formation in a radio-frequency driven micro-atmospheric pressure plasma jet , 2010 .

[23]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[24]  H. Gummel,et al.  Large-signal analysis of a silicon Read diode oscillator , 1969 .

[25]  A. Bogaerts,et al.  Computer simulations of a dielectric barrier discharge used for analytical spectrometry , 2007, Analytical and bioanalytical chemistry.

[26]  G. Hagelaar,et al.  Speeding Up Fluid Models for Gas Discharges by Implicit Treatment of the Electron Energy Source Term , 2000 .

[27]  U. Kortshagen,et al.  Effects of current limitation through the dielectric in atmospheric pressure glows in helium , 2004 .

[28]  F. Hwang,et al.  Investigation of the Atmospheric Helium Dielectric Barrier Discharge Driven by a Realistic Distorted-Sinusoidal Voltage Power Source , 2011 .

[29]  Effects of Oxygen Addition and Treating Distance on Surface Cleaning of ITO Glass by a Non-Equilibrium Nitrogen Atmospheric-Pressure Plasma Jet , 2010 .

[30]  Jong-Shinn Wu,et al.  Development of a parallel implicit solver of fluid modeling equations for gas discharges , 2011, Comput. Phys. Commun..

[31]  Jong-Shinn Wu,et al.  A new paradigm for solving plasma fluid modeling equations , 2007, Comput. Phys. Commun..