Description:

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.

Contents:

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.

Seminar contents:

like lecture

Recommended literature:

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

Keywords:

Methods for hydrodynamics, Lagrangian methods, ALE methods.

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar