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Computer Solution of Continuum Physics Problems II - NMMO599

Title:	Počítačové řešení úloh fyziky kontinua II
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	Mgr. Jan Blechta, Ph.D. RNDr. Jaroslav Hron, Ph.D. doc. RNDr. Ondřej Souček, Ph.D.
Class:	M Mgr. MOD M Mgr. MOD > Volitelné
Classification:	Mathematics > Mathematics General

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Last update: Mgr. Dalibor Šmíd, Ph.D. (13.05.2023)

The course is a follow-up of NMMO403 Computer Solution of Continuum Physics Problems and is focused on the numerical implementation of more advanced computational techniques from various parts of physics. Focus on the use of HPC, academic open source software.

Aim of the course -

Last update: Mgr. Dalibor Šmíd, Ph.D. (12.05.2023)

The aim of the course is to broaden the students' insight into the problems of numerical solution

of continuum mechanics problems using the finite element method. Students will learn how to work on modern

parallel computers and use appropriate academic software tools.

Course completion requirements -

Last update: Mgr. Dalibor Šmíd, Ph.D. (13.05.2023)

Active participation in two thirds of the

exercises (rounded down) and submission of a short report on a semester

project. Retakes are not possible.

Requirements to the exam -

Last update: Mgr. Dalibor Šmíd, Ph.D. (13.05.2023)

The exam is oral, its content corresponds to the syllabus and the

topics covered during the semester. Its main part is a discussion of questions related to the solution of the

semester project.

Syllabus -

Last update: Mgr. Dalibor Šmíd, Ph.D. (13.05.2023)

● The Arbitrary Lagrangian-Eulerian method and free boundary problems

● Nitsche's method - weak formulation of boundary conditions, application to boundary

conditions at geometrically non-trivial interfaces and to the kinematic equation of the free

surface

● The Cahn-Hilliard-Navier-Stokes equations

● The Nédélec finite element and Maxwell's equations

● The Stefan problem and the enthalpy method

● Augmented Lagrangian method and problems with inequality constraints, contact problems

● Spherical harmonic functions and solving problems on the sphere/ball

● Pressure-robust methods for incompressible flow

● Adaptivity for spatial discretization