Difference between revisions of "Fundamentals of Wave Simulation - Solving Hyperbolic Systems of PDEs - Winter 17"

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| term = Winter 17
 
| term = Winter 17
 
| lecturer = [[Univ.-Prof._Dr._Michael_Bader]], [[Leonhard Rannabauer]]
 
| lecturer = [[Univ.-Prof._Dr._Michael_Bader]], [[Leonhard Rannabauer]]
| timeplace = Fr. 10:00-12:00 in 02.07.23 (look at organization for distinct dates)
+
| timeplace = Fr. 10:00-12:00 in 02.07.23 (only on selected dates)
 
| credits = 2 SWS (2S) / 5 Credits
 
| credits = 2 SWS (2S) / 5 Credits
 
| audience = Computational Science and Engineering (Seminar, [https://campus.tum.de/tumonline/wbStpModHB.detailPage?&pKnotenNr=458286 module IN2183]), <br>Informatics (Master-Seminar, [https://campus.tum.de/tumonline/wbStpModHB.detailPage?&pKnotenNr=485429 module IN2107])
 
| audience = Computational Science and Engineering (Seminar, [https://campus.tum.de/tumonline/wbStpModHB.detailPage?&pKnotenNr=458286 module IN2183]), <br>Informatics (Master-Seminar, [https://campus.tum.de/tumonline/wbStpModHB.detailPage?&pKnotenNr=485429 module IN2107])
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= Organization=
 
= Organization=
 
* '''preliminary session''': Friday, July 14, 12:00pm. Room: 02.07.023 (attend for guaranteed registration) ([https://www5.in.tum.de/lehre/seminare/cse/cse_seminar_hyperbolics_ss17/intro_session.pdf Slides])
 
* '''preliminary session''': Friday, July 14, 12:00pm. Room: 02.07.023 (attend for guaranteed registration) ([https://www5.in.tum.de/lehre/seminare/cse/cse_seminar_hyperbolics_ss17/intro_session.pdf Slides])
 +
* '''Kick-off session:''' planned: Friday, October 20, 10:00 am 
  
 
= Registration=
 
= Registration=
 
* Register via the matching system (only if you are sure you want to join !)
 
* Register via the matching system (only if you are sure you want to join !)
 
* After Registration: Send me an E-Mail with you prior knowledge + points of interest or a topic you have in mind (-> [[Leonhard Rannabauer]]).
 
* After Registration: Send me an E-Mail with you prior knowledge + points of interest or a topic you have in mind (-> [[Leonhard Rannabauer]]).
 
  
 
<!-- = Before the Kickoff meeting=  
 
<!-- = Before the Kickoff meeting=  
 
* Meet with you supervisor -->
 
* Meet with you supervisor -->
 
 
 
= Description =
 
= Description =
 
In this seminar we address numerical methods for the simulation of hyperbolic partial differential equations.  
 
In this seminar we address numerical methods for the simulation of hyperbolic partial differential equations.  
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Non-linearities with analytical solution approaches, Riemann solvers, domain decomposition, finite volume methods, high-order discretization, time stepping schemes, adaptivity, parallelization etc.  
 
Non-linearities with analytical solution approaches, Riemann solvers, domain decomposition, finite volume methods, high-order discretization, time stepping schemes, adaptivity, parallelization etc.  
 
Besides numerical theory we expect the students to apply and implement the learned concepts in the form of a small project, which requires extensive use of the learned theory.
 
Besides numerical theory we expect the students to apply and implement the learned concepts in the form of a small project, which requires extensive use of the learned theory.
 +
 +
= Literature =
 +
Finite Volume Methods for Hyperbolic Problems, Randall J. LeVeque  ([http://lib.myilibrary.com.eaccess.ub.tum.de/Open.aspx?id=41950 ub.tum]):
 +
*Standard work, with insights on hyperbolic PDEs, FV Methods and several Applications on PDEs (traffic, tsunamis ...)
 +
Nodal Discontinuous Galerkin Methods, Jan S. Hestaven et al ([https://link-springer-com.eaccess.ub.tum.de/book/10.1007%2F978-0-387-72067-8 springer]):
 +
*Introductory guide on discontinuous Galerkin methods.
 +
 +
 +
  
 
= Example Topics =
 
= Example Topics =

Revision as of 14:12, 14 July 2017

Term
Winter 17
Lecturer
Univ.-Prof._Dr._Michael_Bader, Leonhard Rannabauer
Time and Place
Fr. 10:00-12:00 in 02.07.23 (only on selected dates)
Audience
Computational Science and Engineering (Seminar, module IN2183),
Informatics (Master-Seminar, module IN2107)
Tutorials
-
Exam
-
Semesterwochenstunden / ECTS Credits
2 SWS (2S) / 5 Credits
TUMonline
tumonline




Organization

  • preliminary session: Friday, July 14, 12:00pm. Room: 02.07.023 (attend for guaranteed registration) (Slides)
  • Kick-off session: planned: Friday, October 20, 10:00 am

Registration

  • Register via the matching system (only if you are sure you want to join !)
  • After Registration: Send me an E-Mail with you prior knowledge + points of interest or a topic you have in mind (-> Leonhard Rannabauer).

Description

In this seminar we address numerical methods for the simulation of hyperbolic partial differential equations. We discuss important examples of governing equations. In this context challenges typical for hyperbolic PDEs are tackled: Non-linearities with analytical solution approaches, Riemann solvers, domain decomposition, finite volume methods, high-order discretization, time stepping schemes, adaptivity, parallelization etc. Besides numerical theory we expect the students to apply and implement the learned concepts in the form of a small project, which requires extensive use of the learned theory.

Literature

Finite Volume Methods for Hyperbolic Problems, Randall J. LeVeque (ub.tum):

  • Standard work, with insights on hyperbolic PDEs, FV Methods and several Applications on PDEs (traffic, tsunamis ...)

Nodal Discontinuous Galerkin Methods, Jan S. Hestaven et al (springer):

  • Introductory guide on discontinuous Galerkin methods.



Example Topics

  • 1D traffic flow analytical and numerical
  • Linear Systems and elastic waves
  • Tsunami simulation with finite volume methods
  • F-Wave Solver for Riemann problems

Examples

Mpi.png

Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.