Computational Physics 2

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Laser Physics and Photonics

Synopsis:

Structure of hydrodynamic code, representation of structured and unstructured computational meshes. Tools for code debugging and profiling, error detection. Code parallelization, memory hierarchy, supercomputers. Euler equations on moving computational mesh. Eulerian, Lagrangian, and ALE methods, staggered discretization. Methods for mesh smoothing, methods for conservative interpolations of functions between meshes. Applications in simulations of laser/target interactions. Generalization for elastic materials. Methods of artificial intelligence in computational physics.

Requirements:

Syllabus of lectures:

1.Modifications of simulation code, use of external libraries. Representation of unstructured computational mesh. Code parallelization, supercomputers.

2.Code debugging and profiling, gdb and gprof tools. Detection of errors in memory management, valgrind tool.

3.Transformation of Euler equations to Lagrangian coordinate system. Staggered Lagrangian hydrodynamics - derivation and conservation of the method.

4.Arbitrary Lagrangian-Eulerian (ALE) methods. Algorithms for mesh smoothing, function reconstruction, and conservative interpolations.

5.Models of physical phenomena - basic models of laser absorption, heat conductivity, phase transition. Equations ofstate.

6.Applications in physics of laser-generated plasma, examples of simulations of laser/target interactions.

7.Multi-material hydrodynamics, methods for material reconstruction.

8.Generalization of hydrodynamic methods for elastic/plastic materials.

9.Methods of artificial intelligence in computational physics.

10.Complex systems and chaos, applications in physics.

Syllabus of tutorials:

like lecture

Study Objective:

Knowledge: Theory and implementation of selected computational physics methods in hydrodynamics.

Skills: Use, application and development of selected computational physics methods in hydrodynamics.

Study materials:

Key references:

[1] A. Bondeson, T. Rylander, P. Ingelstrom, Computational Electromagnetics (Texts in Applied Mathematics), Second Edition, Springer, 2013

[2] J. Thijssen, Computational Physics, Second Edition, Cambridge University Press, New York, 2007

[3] D.C. Rapaport, The Art of Molecular Dynamics Simulation 2nd Edition, Cambridge University Press; 2 edition, New York, 2004

Recommended references:

[4] A. Haghighat, Monte Carlo Methods for Particle Transport, CRC Press, Boca Raton, 2016

[5] C.K. Birdsall, A.B Langdon, Plasma Physics via Computer Simulation, Taylor & Francis Gropu, New York, 2005

Media and tools:

none

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Fyzika plazmatu a termojaderné fúze (compulsory course in the program)