3rd Training Week (Prague)

The third training week “Computational Modeling & Simulations in Laser Matter Interactions” Intensive program was held at Czech Technical University in Prague (CH) during 21-25 of January 2019.

Number of Participating Students per Organization

Technological Educational Institute of Crete 3
Panepistimio Ioanninon 2
University of York 3
The Queen’s University of Belfast 3
Universite de Bordeaux 3
Ecole Polytechnique 3
Universidad de Salamanca 3
Ceske Vysoke Uceni Technicke V Praze 2

Training Program  (Timetable)


Lecture 1: Fundamentals of Numerical Methods (Dr Váchal)
• Sources of errors, truncation and round-off errors
• Numerical stability
• Solving non-linear and ordinary differential equations

Lecture 2: Solving partial differential equations (PDEs) (Prof. Liska)
• finite difference method for PDEs
• convergence, consistency and stability of difference schemes
• difference schemes for hyperbolic and parabolic PDEs
• conservation laws

Lecture 3: Simulations of laser-produced plasmas (LPP) (Prof. Limpouch)
• Kinetic and fluid description of LPP
• Particle models versus solving kinetic equation
• LPP description via Vlasov and Fokker-Planck equations
• Physical processes (laser absorption, heat conduction and radiative transport)

Lecture 4: Particle-In-Cell simulations of Laser-Plasma Interactions (LPI) (Dr Pšikal)
• concept of finite-size macroparticles and their description by b-spline shape functions
• computational cycle of PIC code
• numerical algorithms in PIC codes for calculation of fields, current densities, motion of particles
• numerical accuracy and computational demands of PIC simulations
• advanced PIC – moving frame, Lorentz boosted frame, QED, ionization, collisions

Lecture 5: Fluid simulations of LPP (Dr Kuchařík)
• Eulerian and Lagrangian reference frames, ALE methods
• Numerical models for heat conductivity and laser absorption
• Hydrodynamic simulations by ALE codes

Lecture 6: Monte Carlo simulations for LPI (Prof. Klimo)
• Introduction to Monte Carlo method, Random walk
• Monte Carlo method of particle transport
• Monte Carlo simulations of hot electron transport – slowing down approximation, single x multiple scattering, soft x hard events
• Interactions of other particle species (ions, photons, neutrons) with matter
• Survey of available Monte Carlo simulation tools

Lecture 7: Description of High-Energy-Density (HED) matter (Prof. Šiňor)
• Specification and basic parameters of HED matter
• HED matter in the Universe and in the laboratory.
• Basic physical processes in the HED matter.
• Basic diagnostics schemes for HED matter.
• Theoretical models and numerical modelling of HED matter.

Lecture 8: Atomic physics of multiply ionized plasmas (Prof. Limpouch)
• Description of electron structure of many-electron ions
• Collisional radiative model, populations of charge and excitation states
• Broadening of emission lines
• Radiative transport

Lecture 9: Parallel algorithms for LLP simulations (Mr Vyskočil)
• Contemporary parallel computer architectures
• Parallel efficiency, strong & weak scaling
• Concurrency patterns and models, task vs. data parallelism, threading and message passing
• Fundamental parallel algorithms
• Implementations and tools, MPI, OpenMP

Computer Laboratory Sessions

Session 1: Numerical Methods, solving PDEs (Dr Váchal, Prof. Liska)
• Runge Kutta methods for ordinary differential equations
• schemes for advection equation
• schemes for heat equation
• schemes for conservation laws

Session 2: PIC simulations of LPI (Dr Pšikal)
• case study – laser-driven ion acceleration (laser interaction with overdense plasma)
• case study – laser-driven electron acceleration (laser interaction with underdense plasma, application of moving frame)
• case study – generation of electron-positron plasma (interaction of two counter-propagating laser pulses, application of QED)

Session 3: Fluid simulations of LPP (Dr Kuchařík)
• Hydrodynamic simulations of LPP via 1D Lagrangian code
• Study of plasma evolution for various laser parameters and target configurations.
• Selected hydrodynamic laser/target simulations via 2D ALE code.

Session 4: Monte Carlo simulations for LPP (Prof. Klimo)
• Random walk in 2D
• Monte Carlo simulations of hot electron transport in solid matter – generation of characteristic and bremsstrahlung radiation
• Monte Carlo simulations of transport of energetic ions in solid matter – isochoric heating