High Performance Computing for Nanoplasmonic Laser Fusion Istv an - PowerPoint PPT Presentation

Introduction Considerations for the target Simulations and Software Conclusions and the future High Performance Computing for Nanoplasmonic Laser Fusion Istv´ an Papp, Larissa Bravina, M´ aria Csete, Igor N. Mishustin, D´ enes Moln´ ar, Anton Motornenko, Leonid M. Satarov, Horst St¨ ocker, Daniel D. Strottman, Andr´ as Szenes, D´ avid Vass, Tam´ as S. Bir´ o, L´ aszl´ o P. Csernai, Norbert Kro´ o High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Fusion research Considerations for the target Inertial Confinement Fusion Simulations and Software Radiation Dominated Implosion Conclusions and the future Thermo-nuclear Fusion Fusion does not happen spontaneously on Earth Total fusion energy E f = 1 4 n 2 τǫ � v σ � η E f is the usable energy The loss is (1 − η )( E 0 + E b ) √ E 0 = 3 nkT , E b = bn 2 τ T (thermal bremsstralung) ηǫ n τ v σ Giving the gain factor: Q = √ 4(1 − η )(3 kT + bn τ T ) Q must be Q > 1 for energy production 3 kT (1 − η ) This also means n τ > T → LC √ 1 4 ǫη � v σ �− b (1 − η ) Fulfilling the Lawson criterion Magnetically confined plasmas: increase confinement time Inertial confinement fusion: increase density of fusion plasma High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Fusion research Considerations for the target Inertial Confinement Fusion Simulations and Software Radiation Dominated Implosion Conclusions and the future Direct vs Indirect drive High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Fusion research Considerations for the target Inertial Confinement Fusion Simulations and Software Radiation Dominated Implosion Conclusions and the future Hohlraum 2014 High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Fusion research Considerations for the target Inertial Confinement Fusion Simulations and Software Radiation Dominated Implosion Conclusions and the future Hohlraum 2014 [O.A. Hurricane et al., Nature, 506, 343 (2014)] High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Fusion research Considerations for the target Inertial Confinement Fusion Simulations and Software Radiation Dominated Implosion Conclusions and the future Laser-Induced High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Fusion research Considerations for the target Inertial Confinement Fusion Simulations and Software Radiation Dominated Implosion Conclusions and the future Rayleigh-Taylor instabilities High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Fusion research Considerations for the target Inertial Confinement Fusion Simulations and Software Radiation Dominated Implosion Conclusions and the future RFD [Csernai, L.P. (1987). Detonation on a time-like front for relativistic systems. Zh. Eksp. Teor. Fiz. 92, 379-386.] High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Constant absorptivity [L.P. Csernai & D.D. Strottman, Laser and Particle Beams 33, 279 (2015)] α k middle = α k edge Simultaneous volume ignition is only up to 12% High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Doping with gold (a) Left: Single core-shell nano-sphere. Right: Rectangular lattice of nano-spheres in a transverse layer of the target. (b) Optical cross-section of an individual core-shell nano-sphere optimized to absorb light at 800 nm wavelength and optical response of the same core-shell nano-spheres composing a rectangular lattice. High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Changing absorptivity [Csernai, L.P., Kroo, N. and Papp, I. (2017). Procedure to improve the stability and efficiency of laser-fusion by nano-plasmonics method. Patent P1700278/3 of the Hungarian Intellectual Property Office.] α k middle ≈ 4 × α k edge Simultaneous volume ignition is up to 73% High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Flat target Schematic view of the cylindrical, flat target of radius, R , and thickness, h . V = 2 π R 3 , � 3 � 3 R = V / (2 π ) , h = 4 V /π. [L.P. Csernai, M. Csete, I.N. Mishustin, A. Motornenko, I. Papp, L.M. Satarov, H. Stcker & N. Kro´ o, Radiation- Dominated Implosion with Flat Target, Physics and Wave Phenomena , 28 (3) 187-199 (2020)] High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Varying absorptivity (a) (b) Deposited energy per unit time in the space-time plane across the depth, h , of the flat target. (a) without nano-shells (b) with nano-shells To increase central absorption we used the following distribution: � s � 2 � � α ns ( s ) = α C 100 ns + α ns (0) · exp 4 × . � s � � s 100 − 1 100 + 1 � High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Similar configurations High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Similar configurations High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Absorptivity by nano-technology Considerations for the target Simplified model for flat target Simulations and Software Absorptivity of the target Conclusions and the future Experiment and collaboration High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Open source softwares Considerations for the target PIC methods in general Simulations and Software EPOCH vs. PICCANTE Conclusions and the future Available software High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Open source softwares Considerations for the target PIC methods in general Simulations and Software EPOCH vs. PICCANTE Conclusions and the future Particle In Cell methods [T.D. Arber et al 2015 Plasma Phys. Control. Fusion 57 113001] A super-particle ( marker-particle ) is a computational particle that represents many real particles. Particle mover or pusher algorithm as standard Boris algorithm . Finite-difference time-domain method for solving the time evolution of Maxwell’s equations . High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Open source softwares Considerations for the target PIC methods in general Simulations and Software EPOCH vs. PICCANTE Conclusions and the future General layout of the EPOCH code [EPOCH 4.0 dev manual] (input) deck housekeeping io parser physics packages user interaction High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Open source softwares Considerations for the target PIC methods in general Simulations and Software EPOCH vs. PICCANTE Conclusions and the future FDTD in EPOCH � � c 2 ∇ × B n − j n 2 = E n + ∆ t E n + 1 2 ǫ 0 � � 2 = B n − ∆ t B n + 1 ∇ × E n + 1 2 2 Call particle pusher which calculates j n +1 � � 2 − ∆ t B n +1 = B n + 1 ∇ × E n + 1 2 2 � � c 2 ∇ × B n +1 − j n +1 2 + ∆ t E n +1 = E n + 1 2 ǫ 0 High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020

Introduction Open source softwares Considerations for the target PIC methods in general Simulations and Software EPOCH vs. PICCANTE Conclusions and the future Particle pusher Solves the relativistic equation of motion under the Lorentz force for each marker-particle � � � � �� p n +1 = p n + q ∆ t E n + 1 x n + 1 + v n + 1 2 × B n + 1 x n + 1 2 2 2 2 p is the particle momentum q is the particle’s charge v is the velocity. ( p / mc ) 2 + 1 � 1 / 2 � p = γ m v , where m is the rest mass γ = Villasenor and Buneman current deposition scheme [Villasenor J & Buneman O 1992 Comput. Phys. Commun. 69 306], always satisfied: ∇ · E = ρ/ǫ 0 , where ρ is the charge density. High Performance Computing Nanoplasmonic Laser Fusion GPUDAY 2020