A computational model for nanosecond pulse laser-plasma interactions

Munafò, Alessandro; Alberti, Andrea; Pantano, Carlos; Freund, Jonathan B.; Panesi, Marco

doi:10.1016/j.jcp.2019.109190

Title: A computational model for nanosecond pulse laser-plasma interactions

Journal Article · 19 December 2019 · Journal of Computational Physics

DOI: https://doi.org/10.1016/j.jcp.2019.109190 · OSTI ID:1801074

^[1]; Alberti, Andrea ^[2]; Pantano, Carlos ^[3]; Freund, Jonathan B. ^[2]; Panesi, Marco ^[2]

Univ. of Illinois at Urbana-Champaign, IL (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
Univ. of Illinois at Urbana-Champaign, IL (United States)
Univ. of Illinois at Urbana-Champaign, IL (United States); Univ. of Southern California, Los Angeles, CA (United States)

A multi-physics numerical model for laser-induced optical breakdown and laser-plasma interaction in a non-equilibrium gas is presented, accounting for: production of priming electrons via multi-photon ionization, energy absorption, cascade ionization, induced hydrodynamic response, and shock formation and propagation. The gas is governed by the Navier-Stokes equations, with non-equilibrium effects taken into account by means of a two-temperature model. The space-time dependence of the laser beam is modeled with a flux-tube formulation for the Radiative Transfer Equation. The flow governing equations are discretized in space using a second-order finite volume method. The semi-discrete equations are marched in time using an implicit-explicit (IMEX) dual time-stepping strategy, where diffusion and chemistry are solved implicitly, whereas convection is explicit. Application to a 20 ns long 50 mJ pulse laser-induced breakdown in quiescent O₂ shows the advantages of this temporal discretization during and just after the laser pulse, while a less-expensive symmetric Strang splitting (with implicit chemistry) is sufficient for the post-breakdown gas dynamics after ≃ 0.1 μs. The integrated model is shown to reproduce key features of corresponding experiments.

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Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0002374

OSTI ID:: 1801074

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 406; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (71)

Multiphoton ionization of many-electron atoms: MULTIPHOTON IONIZATION L'Huillier, Anne; Jönsson, Lars; Wendin, Göran International Journal of Quantum Chemistry, Vol. 31, Issue 5 https://doi.org/10.1002/qua.560310511	journal	May 1987
A Sequel to AUSM: AUSM+ Liou, Meng-Sing Journal of Computational Physics, Vol. 129, Issue 2 https://doi.org/10.1006/jcph.1996.0256	journal	December 1996
Computational study of shock wave control by pulse energy deposition Ohnishi, N.; Tate, M.; Ogino, Y. Shock Waves, Vol. 22, Issue 6 https://doi.org/10.1007/s00193-012-0407-6	journal	September 2012
Approach to equilibrium lonization behind strong shock waves in argon Petschek, Harry; Byron, Stanley Annals of Physics, Vol. 1, Issue 3 https://doi.org/10.1016/0003-4916(57)90012-X	journal	June 1957
Multiphoton ionization versus dissociation of diatomic molecules irradiated by an intense 40 ps laser pulse L'Huillier, A.; Mainfray, G.; Johnson, P. M. Chemical Physics Letters, Vol. 103, Issue 6 https://doi.org/10.1016/0009-2614(84)85274-4	journal	January 1984
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method van Leer, Bram Journal of Computational Physics, Vol. 32, Issue 1 https://doi.org/10.1016/0021-9991(79)90145-1	journal	July 1979
Time dependent boundary conditions for hyperbolic systems Thompson, Kevin W. Journal of Computational Physics, Vol. 68, Issue 1 https://doi.org/10.1016/0021-9991(87)90041-6	journal	January 1987
Free-free radiative transitions—A survey of theoretical results Johnston, Robert R. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 7, Issue 6 https://doi.org/10.1016/0022-4073(67)90001-5	journal	November 1967
Free-free radiation in electron-neutral atom collisions Geltman, Sydney Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 13, Issue 7 https://doi.org/10.1016/0022-4073(73)90019-8	journal	July 1973
Explicit Runge-Kutta methods for parabolic partial differential equations Verwer, J. G. Applied Numerical Mathematics, Vol. 22, Issue 1-3 https://doi.org/10.1016/S0168-9274(96)00022-0	journal	November 1996
Modelling of LIBS plasma expansion Colonna, G.; Casavola, A.; Capitelli, M. Spectrochimica Acta Part B: Atomic Spectroscopy, Vol. 56, Issue 6 https://doi.org/10.1016/S0584-8547(01)00230-0	journal	June 2001
Experimental and modeling study on auto-ignition characteristics of methane/hydrogen blends under engine relevant pressure Zhang, Yingjia; Jiang, Xue; Wei, Liangjie International Journal of Hydrogen Energy, Vol. 37, Issue 24 https://doi.org/10.1016/j.ijhydene.2012.09.056	journal	December 2012
Hydrogen fuel rocket engines simulation using LOGOS code Smirnov, N. N.; Betelin, V. B.; Shagaliev, R. M. International Journal of Hydrogen Energy, Vol. 39, Issue 20 https://doi.org/10.1016/j.ijhydene.2014.04.150	journal	July 2014
Transport algorithms for partially ionized and unmagnetized plasmas Magin, Thierry E.; Degrez, Gérard Journal of Computational Physics, Vol. 198, Issue 2 https://doi.org/10.1016/j.jcp.2004.01.012	journal	August 2004
Laser-induced plasma expansion: theoretical and experimental aspects Capitelli, M.; Casavola, A.; Colonna, G. Spectrochimica Acta Part B: Atomic Spectroscopy, Vol. 59, Issue 3 https://doi.org/10.1016/j.sab.2003.12.017	journal	March 2004
Experimental investigation and modelling of double pulse laser induced plasma spectroscopy under water Casavola, A.; De Giacomo, A.; Dell'Aglio, M. Spectrochimica Acta Part B: Atomic Spectroscopy, Vol. 60, Issue 7-8 https://doi.org/10.1016/j.sab.2005.05.034	journal	August 2005
Kinetic processes for laser induced plasma diagnostic: A collisional-radiative model approach Pietanza, L. D.; Colonna, G.; De Giacomo, A. Spectrochimica Acta Part B: Atomic Spectroscopy, Vol. 65, Issue 8 https://doi.org/10.1016/j.sab.2010.03.012	journal	August 2010
Thermodynamic equilibrium states in laser-induced plasmas: From the general case to laser-induced breakdown spectroscopy plasmas Cristoforetti, G.; Tognoni, E.; Gizzi, L. A. Spectrochimica Acta Part B: Atomic Spectroscopy, Vol. 90 https://doi.org/10.1016/j.sab.2013.09.004	journal	December 2013
Numerical simulation of the fluid dynamic effects of laser energy deposition in air Ghosh, Shankar; Mahesh, Krishnan Journal of Fluid Mechanics, Vol. 605 https://doi.org/10.1017/S0022112008001468	journal	May 2008
Control of Early Flame Kernel Growth by Multi-Wavelength Laser Pulses for Enhanced Ignition Dumitrache, Ciprian; VanOsdol, Rachel; Limbach, Christopher M. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-10457-0	journal	August 2017
Transport coefficients of ionized argon Devoto, R. S. Physics of Fluids, Vol. 16, Issue 5 https://doi.org/10.1063/1.1694396	journal	January 1973
Transport Properties for Gases Assuming Inverse Power Intermolecular Potentials Kihara, Taro; Taylor, Marion H.; Hirschfelder, Joseph O. Physics of Fluids, Vol. 3, Issue 5 https://doi.org/10.1063/1.1706115	journal	January 1960
Systematics of Vibrational Relaxation Millikan, Roger C.; White, Donald R. The Journal of Chemical Physics, Vol. 39, Issue 12 https://doi.org/10.1063/1.1734182	journal	December 1963
Transport Properties of Multicomponent Gas Mixtures Curtiss, Charles F.; Hirschfelder, Joseph O. The Journal of Chemical Physics, Vol. 17, Issue 6 https://doi.org/10.1063/1.1747319	journal	June 1949
Transport Properties of Ionized Monatomic Gases Devoto, R. S. Physics of Fluids, Vol. 9, Issue 6 https://doi.org/10.1063/1.1761825	journal	January 1966
Transport Coefficients of Partially Ionized Argon Devoto, R. S. Physics of Fluids, Vol. 10, Issue 2 https://doi.org/10.1063/1.1762115	journal	January 1967
Transport Coefficients of Ionized Gases Mason, E. A. Physics of Fluids, Vol. 10, Issue 8 https://doi.org/10.1063/1.1762365	journal	January 1967
Cross Sections for Electron Collisions with Nitrogen Molecules Itikawa, Yukikazu Journal of Physical and Chemical Reference Data, Vol. 35, Issue 1 https://doi.org/10.1063/1.1937426	journal	March 2006
Cross Sections for Electron Collisions with Oxygen Molecules Itikawa, Yukikazu Journal of Physical and Chemical Reference Data, Vol. 38, Issue 1 https://doi.org/10.1063/1.3025886	journal	March 2009
Transport properties of high-temperature Jupiter atmosphere components Bruno, D.; Catalfamo, C.; Capitelli, M. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3495980	journal	November 2010
Tailoring the air plasma with a double laser pulse Shneider, M. N.; Zheltikov, A. M.; Miles, R. B. Physics of Plasmas, Vol. 18, Issue 6 https://doi.org/10.1063/1.3601764	journal	June 2011
Observation of forward breakdown mechanism in high-pressure argon plasma produced by irradiation by an excimer laser Tsuda, Norio; Yamada, Jun Journal of Applied Physics, Vol. 81, Issue 2 https://doi.org/10.1063/1.364200	journal	January 1997
Mechanism of forward development of a plasma produced by an excimer laser in high-pressure argon gases Tsuda, Norio; Yamada, Jun Journal of Applied Physics, Vol. 87, Issue 5 https://doi.org/10.1063/1.372149	journal	March 2000
Collisional radiative coarse-grain model for ionization in air Panesi, Marco; Lani, Andrea Physics of Fluids, Vol. 25, Issue 5 https://doi.org/10.1063/1.4804388	journal	May 2013
Modeling of non-equilibrium phenomena in expanding flows by means of a collisional-radiative model Munafò, A.; Lani, A.; Bultel, A. Physics of Plasmas, Vol. 20, Issue 7 https://doi.org/10.1063/1.4810787	journal	July 2013
Numerical investigation of nanosecond laser induced plasma and shock wave dynamics from air using 2D hydrodynamic code Sai Shiva, S.; Leela, Ch.; Prem Kiran, P. Physics of Plasmas, Vol. 24, Issue 8 https://doi.org/10.1063/1.4997449	journal	August 2017
Dual-pulse laser ignition model Mahamud, Rajib; Tropina, Albina A.; Shneider, Mikhail N. Physics of Fluids, Vol. 30, Issue 10 https://doi.org/10.1063/1.5043295	journal	October 2018
Recommended Data on the Electron Impact Ionization of Atoms and Ions: Fluorine to Nickel Lennon, M. A.; Bell, K. L.; Gilbody, H. B. Journal of Physical and Chemical Reference Data, Vol. 17, Issue 3 https://doi.org/10.1063/1.555809	journal	July 1988
Laser spark in gases Ostrovskaya, G. V.; Zaĭdel', A. N. Soviet Physics Uspekhi, Vol. 16, Issue 6 https://doi.org/10.1070/PU1974v016n06ABEH004094	journal	June 1974
Optical discharges Raĭzer, Yurii P. Soviet Physics Uspekhi, Vol. 23, Issue 11 https://doi.org/10.1070/PU1980v023n11ABEH005064	journal	November 1980
Investigation of a gas breakdown process in a laser-plasma experiment Soubacq, S.; Pignolet, P.; Schall, E. Journal of Physics D: Applied Physics, Vol. 37, Issue 19 https://doi.org/10.1088/0022-3727/37/19/012	journal	September 2004
Accurate Semi-Empirical Formulae for the Energy Structure of Li I-like Spectra Edlén, Bengt Physica Scripta, Vol. 19, Issue 3 https://doi.org/10.1088/0031-8949/19/3/007	journal	March 1979
Laser-induced breakdown of gases Morgan, C. G. Reports on Progress in Physics, Vol. 38, Issue 5 https://doi.org/10.1088/0034-4885/38/5/002	journal	May 1975
Multiphoton ionization of atoms Mainfray, G.; Manus, G. Reports on Progress in Physics, Vol. 54, Issue 10 https://doi.org/10.1088/0034-4885/54/10/002	journal	October 1991
Influence of mode-beating pulse on laser-induced plasma Nishihara, M.; Freund, J. B.; Glumac, N. G. Journal of Physics D: Applied Physics, Vol. 51, Issue 13 https://doi.org/10.1088/1361-6463/aaad87	journal	March 2018
Total variation diminishing Runge-Kutta schemes Gottlieb, Sigal; Shu, Chi-Wang Mathematics of Computation of the American Mathematical Society, Vol. 67, Issue 221 https://doi.org/10.1090/S0025-5718-98-00913-2	journal	January 1998
Multiphoton Ionization of Hydrogen and Rare-Gas Atoms Bebb, H. Barry; Gold, Albert Physical Review, Vol. 143, Issue 1 https://doi.org/10.1103/PhysRev.143.1	journal	March 1966
Multiphoton ionization of the noble gases by an intense 10 14 -W/ cm 2 dye laser Perry, M. D.; Landen, O. L.; Szöke, A. Physical Review A, Vol. 37, Issue 3 https://doi.org/10.1103/PhysRevA.37.747	journal	February 1988
Boltzmann rovibrational collisional coarse-grained model for internal energy excitation and dissociation in hypersonic flows Munafò, A.; Panesi, M.; Magin, T. E. Physical Review E, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevE.89.023001	journal	February 2014
Laser induced gas breakdown: A bibliographical review DeMichelis, C. IEEE Journal of Quantum Electronics, Vol. 5, Issue 4 https://doi.org/10.1109/JQE.1969.1075758	journal	April 1969
On the Construction and Comparison of Difference Schemes Strang, Gilbert SIAM Journal on Numerical Analysis, Vol. 5, Issue 3 https://doi.org/10.1137/0705041	journal	September 1968
Strong Stability-Preserving High-Order Time Discretization Methods Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan SIAM Review, Vol. 43, Issue 1 https://doi.org/10.1137/S003614450036757X	journal	January 2001
An Implicit-Explicit Runge--Kutta--Chebyshev Scheme for Diffusion-Reaction Equations Verwer, J. G.; Sommeijer, B. P. SIAM Journal on Scientific Computing, Vol. 25, Issue 5 https://doi.org/10.1137/S1064827503429168	journal	January 2004
Physical Properties of Dense Plasma Produced by XeCl Excimer Laser in High-Pressure Argon Gases Tsuda, Norio; Yamada, Jun Japanese Journal of Applied Physics, Vol. 38, Issue Part 1, No. 6A https://doi.org/10.1143/JJAP.38.3712	journal	June 1999
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers Hindmarsh, Alan C.; Brown, Peter N.; Grant, Keith E. ACM Transactions on Mathematical Software, Vol. 31, Issue 3 https://doi.org/10.1145/1089014.1089020	journal	September 2005
Experimental and theoretical investigation of laser-induced plasma of a titanium target Casavola, Anna Rita; Colonna, Gianpiero; De Giacomo, Alessandro Applied Optics, Vol. 42, Issue 30 https://doi.org/10.1364/AO.42.005963	journal	January 2003
Computational fluid-dynamic model of laser-induced breakdown in air Dors, Ivan G.; Parigger, Christian G. Applied Optics, Vol. 42, Issue 30 https://doi.org/10.1364/AO.42.005978	journal	January 2003
Temporal and Spatial Evolution of a Laser Spark in Air Glumac, Nick; Elliott, Gregory; Boguszko, Martin AIAA Journal, Vol. 43, Issue 9 https://doi.org/10.2514/1.14886	journal	September 2005
Fire II Flight Experiment Analysis by Means of a Collisional-Radiative Model Panesi, Marco; Magin, Thierry; Bourdon, Anne Journal of Thermophysics and Heat Transfer, Vol. 23, Issue 2 https://doi.org/10.2514/1.39034	journal	April 2009
Electronic Excitation of Atoms and Molecules for the FIRE II Flight Experiment Panesi, M.; Magin, T. E.; Bourdon, A. Journal of Thermophysics and Heat Transfer, Vol. 25, Issue 3 https://doi.org/10.2514/1.50033	journal	July 2011
Numerical Studies of Laser-Induced Energy Deposition for Supersonic Flow Control Kandala, Ramnath; Candler, Graham V. AIAA Journal, Vol. 42, Issue 11 https://doi.org/10.2514/1.6817	journal	November 2004
Mathematical Model of Dual-Pulse Laser Ignition Tropina, A. A.; Miles, R. B.; Shneider, M. N. Journal of Propulsion and Power, Vol. 34, Issue 2 https://doi.org/10.2514/1.B36687	journal	March 2018
Proposed Inflow/Outflow Boundary Condition for Direct Computation of Aerodynamic Sound Freund, J. B. AIAA Journal, Vol. 35, Issue 4 https://doi.org/10.2514/2.167	journal	April 1997
Laser Energy Deposition in Quiescent Air Yan, H.; Adelgren, R.; Boguszko, M. AIAA Journal, Vol. 41, Issue 10 https://doi.org/10.2514/2.1888	journal	October 2003
Data-Parallel Line Relaxation Method for the Navier-Stokes Equations Wright, Michael J.; Candler, Graham V.; Bose, Deepak AIAA Journal, Vol. 36, Issue 9 https://doi.org/10.2514/2.586	journal	September 1998
Chemical-Kinetic Parameters of Hyperbolic Earth Entry Park, Chul; Jaffe, Richard L.; Partridge, Harry Journal of Thermophysics and Heat Transfer, Vol. 15, Issue 1 https://doi.org/10.2514/2.6582	journal	January 2001
Lower-upper Symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations Yoon, Seokkwan; Jameson, Antony AIAA Journal, Vol. 26, Issue 9 https://doi.org/10.2514/3.10007	journal	September 1988
Computation of weakly ionized hypersonic flows in thermochemical nonequilibrium Candler, Graham V.; MacCormack, Robert W. Journal of Thermophysics and Heat Transfer, Vol. 5, Issue 3 https://doi.org/10.2514/3.260	journal	July 1991
Review of chemical-kinetic problems of future NASA missions. I - Earth entries Park, Chul Journal of Thermophysics and Heat Transfer, Vol. 7, Issue 3 https://doi.org/10.2514/3.431	journal	July 1993
Lower-upper implicit schemes with multiple grids for the Euler equations Jameson, Antony; Yoon, Seokkwan AIAA Journal, Vol. 25, Issue 7 https://doi.org/10.2514/3.9724	journal	July 1987
A Reduced-order NLTE Kinetic Model for Radiating Plasmas of Outer Envelopes of Stellar Atmospheres Munafò, Alessandro; Mansour, Nagi N.; Panesi, Marco The Astrophysical Journal, Vol. 838, Issue 2 https://doi.org/10.3847/1538-4357/aa602e	journal	April 2017

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Title: A computational model for nanosecond pulse laser-plasma interactions

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