Hybrid Fluid-PIC Modeling and Its Application in Laser Fusion

doi:10.19596/j.cnki.1001-246x.8602

Abstract

Abstract:

The influence of plasma effect on the shock wave and hydrodynamic instabilities is a widely concerned problem in the current research of laser fusion. However, due to the limitations of the numerical simulation methods, there is still a lack of research tools on this issue. In this work, a hybrid fluid PIC(particle-in-cell) simulation method is established tentatively. Electrons are described by a massless fluid, and multi-component ions are described by PIC method; The fluid motion is obtained by solving the equations of electro-magnetohydrodynamic, and the electromagnetic fields are obtained by solving Ohm's law and Faraday's law. Aiming at the plasma condition of laser fusion, we use hybrid fluid-PIC simulation to study the shock wave structure and its characteristics in high energy density conditions, and the influence of plasma effect on the evolution of hydrodynamic instabilities. Hybrid fluid-PIC physical modeling provides a new research method for studying the effect of plasma effect on shock wave and hydrodynamic instabilities under high energy density.

Key words: laser fusion, hybrid fluid-particle-in-cell modeling, shock wave, hydrodynamic instability

Hongbo CAI, Yupei XU, Peilin YAO, Enhao ZHANG, Hanxiao HUANG, Shaoping ZHU, Xiantu HE. Hybrid Fluid-PIC Modeling and Its Application in Laser Fusion[J]. Chinese Journal of Computational Physics, 2023, 40(2): 159-168.

Figures/Tables 4

Fig.1 Physical model of the Hybrid fluid-PIC code Ascent-H

Fig.2 (a), (c) Electron and ion temperature profile in plasma shock wave with Mach number (a) M = 1.43 and (c) M = 3.79 (Black, red, and blue solid lines denote the electron, D+ and 3He2+ respectively.); (b), (d) Ion phase space of the shock (The black solid line denotes the ion density profile and the red solid line denotes the electric field.)

Fig.3 Density snapshots of Rayleigh-Taylor instability growth from the ion thermal fluctuations

Fig.4 Profiles of Laser intensity, electron pressure, and self-generated magnetic fields at different times (a), (d), (g) t=2 500 T0; (b), (e), (h) t=10 000 T0; (c), (f), (i) t=20 000 T0

References 31

1	HURRICANE O A , CALLAHAN D A , CASEY D T , et al. Fuel gain exceeding unity in an inertially confined fusion implosion[J]. Nature, 2014, 506, 343- 348. DOI
2	HURRICANE O A , CALLAHAN D A , SPRINGER P T , et al. Beyond alpha-heating: Driving inertially confined fusion implosions toward a burning-plasma state on the National Ignition Facility[J]. Plasma Phys Control Fusion, 2019, 61, 014033. DOI
3	RINDERKNECHT H G , AMENDT P A , ROSENBERG M J , et al. Ion kinetic dynamics in strongly-shocked plasmas relevant to ICF[J]. Nuclear Fusion, 2017, 57 (6): 064014.
4	宋鹏, 翟传磊, 李双贵, 等. 激光间接驱动惯性约束聚变二维总体程序——LARED集成程序[J]. 强激光与粒子束, 2015, 27, 032007. DOI
5	MARINAK M M , KERBEL G D , GENTILE N A , et al. Three-dimensional HYDRA simulations of National Ignition Facility targets[J]. Phys Plasmas, 2001, 8, 2275- 2280. DOI
6	RINDERKNECHT H G , AMENDT P A , WILKS S C , et al. Kinetic physics in ICF: Present understanding and future directions[J]. Plasma Phys Control Fusion, 2018, 60, 064001. DOI
7	XU A G , SONG J H , CHEN F , et al. Modeling and analysis methods for complex fields based on phase space[J]. Chinese Journal of Computational Physics, 2021, 38 (6): 631- 660.
8	ZHANG H , WU S Z , ZHOU C T , et al. Numerical method of relativistic Fokker-planck equation for energy deposition of fast electrons[J]. Chinese Journal of Computational Physics, 2017, 34 (5): 555- 562. DOI
9	AMENDT P . Entropy generation from hydrodynamic mixing in inertial confinement fusion indirect-drive targets[J]. Phys Plasmas, 2021, 28, 072701. DOI
10	HOPKINS L F , PAPE S LE , DIVOL L , et al. Near-vacuum hohlraums for driving fusion implosions with high density carbon ablators[J]. Phys Plasmas, 2015, 22, 056318. DOI
11	RYGG J R , FRENJE J A , LI C K , et al. Time-dependent nuclear measurements of mix in inertial confinement fusion[J]. Phys Rev Lett, 2007, 98, 215002. DOI
12	GU J F , GE F J , DAI Z S , et al. Influence of penetrating defect in DD ice layer on ICF cryogenic capsule implosion performance[J]. Chinese Journal Of Computational Physics, 2022, 39 (3): 265- 276.
13	GLASSER A H , SOVINEC C R , NEBEL R A , et al. The NIMROD code: A new approach to numerical plasma physics[J]. Plasma Phys Control Fusion, 1999, 41, A747- A755. DOI
14	FU G Y , PARK W , STRAUSS H R , et al. Global hybrid simulations of energetic particle effects on the n = 1 mode in Tokamaks: Internal kink and fishbone instability[J]. Phys Plasmas, 2006, 13, 052517. DOI
15	COWEE M M , WINSKE D , GARY S P . Hybrid simulations of plasma transport by Kelvin-Helmholtz instability at the magnetopause: Density variations and magnetic shear[J]. J Geophy Res, 2010, 115, A06214.
16	XU H , ZHUO H B , YANG X H , et al. Hybrid particle-in-cell/fluid model for hot electron transport in dense plasmas[J]. Chinese Journal of Computational Physics, 2017, 34 (5): 505- 525. DOI
17	JONES M E , LEMONS D S , MASON R J , et al. A Grid-based Coulomb collision model for PIC codes[J]. J Comput Phys, 1996, 123, 169- 181. DOI
18	BRAGINSKII S I . Transport processes in a plasma: In reviews of plasma physics[M]. New York: Consultants Bureau, 1965: 205- 311.
19	JI J Y , HELD E D . Closure and transport theory for high-collisionality electron-ion plasmas[J]. Phys Plasmas, 2013, 20, 042114. DOI
20	LEE Y T , MORE R M . An electron conductivity model for dense plasma[J]. Phys Fluids, 1984, 27, 1273- 1286. DOI
21	CAI H B , YAN X X , YAO P L , et al. Hybrid fluid-particle modeling of shock-driven hydrodynamic instabilities in a plasma[J]. Matter Radiat Extremes, 2021, 6, 035901. DOI
22	LEMBEGE B , SIMONET F . Hybrid and particle simulations of an interface expansion and of collisionless shock: A comparative and quantitative study[J]. Phys Plasmas, 2001, 8, 3967- 3981. DOI
23	MEEZAN N B , WOODS D T , IZUMI N , et al. Evidence of restricted heat transport in National Ignition Facility hohlraums[J]. Phys Plasmas, 2020, 27, 102704. DOI
24	ZHANG E H , CAI H B , ZHANG W S , et al. Influence of the electron thermal conduction and ion kinetic effects on the structure of collisional plasma shocks[J]. Phys Plasmas, 2022, 29, 082110. DOI
25	SCHURTZ G P , NICOLAI PH D , BUSQUET M . A nonlocal electron conduction model for multidimensional radiation hydrodynamics codes[J]. Phys Plasmas, 2000, 7, 4238- 4249. DOI
26	张钧, 常铁强. 激光核聚变靶物理基础[M]. 北京: 国防工业出版社, 2004.
27	SENTOKU Y , KEMP A J . Numerical methods for particle simulations at extreme densities and temperatures: Weighted particles, relativistic collisions and reduced currents[J]. J Comput Phys, 2008, 227, 6846- 6861. DOI
28	NANBU K , YONEMURA S . Weighted particles in Coulomb collision simulations based on the theory of a cumulative scattering angle[J]. J Comput Phys, 1998, 145, 639- 654. DOI
29	ROSS J S , HIGGINSON D P , RYUTOV D , et al. Transition from collisional to collisionless regimes in interpenetrating plasma Flows on the National Ignition Facility[J]. Phys Rev Lett, 2017, 118, 185003. DOI
30	HIGGINSON D P , LINK A , SCHMIDT A . A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations[J]. J Comput Phys, 2019, 388, 439- 453. DOI
31	YAN X X , CAI H B , YAO P L , et al. Ion kinetic effects on the evolution of Richtmyer-Meshkov instability and interfacial mix[J]. New J Phys, 2021, 23, 053010. DOI

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