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Seminar - Grid Generation (SS 2007)


Contact person:
Dr. Michael Bader

Classification:

Time and Place:

Preliminary session (Vorbesprechung) on Tuesday, January, 16th, 14:00, in room 02.07.023.

Seminar Topics:

A quite common approach to represent continuous data in 2D, 3D, or even higher-dimensional domains is to approximate or interpolate this data on an appropriately generated computational grid. Applications exist in many fields of computational sciences; typical examples are finite difference or finite element methods in numerical simulation, the representation of geometrical objects in computer graphics or visualisation, and even general classification problems in data mining.

Algorithms and methods for grid generation are at least as diverse as their applications. It is the aim of this seminar to discuss several common approaches, for example:

Seminar Outline:

The talks (approx. 45 minutes) in the seminar will be given in English. The ability to give presentations in English is nowadays a key qualification in many professions. Especially, for the students in Informatics, this seminar is intended to be a comparably stress-free opportunity to exercise these skills.

In addition to her or his talk, each student will have to prepare a short paper, which will be reviewed by two other seminar participants. The paper and the two reviews will, in addition to the talk, be considered to determine the final grade.

Available Topics

The following 13 topics from 6 rough categiories are available:

Basics: Graphical Modeling Octree-based Grid Generation Recursively Structured Triangular/Tetrahedral Grids Unstructured Meshes Sparse Grids: Grid Generation in Practice:

Schedule

The seminar talks will be given in presumably 4-6 sessions on Thursday afternoons (starting from 15:00). Topics from the same category will be placed in the same session.

The following suggested session schedule is preliminary: sessions might start one week (or even a couple of weeks) earlier or later, and sessions might be swapped.

Note that for the review process, the seminar papers have to be submitted four weeks before the actual seminar talk!

Session Topic student
Thu, May 24, 15:00
Basics and Octrees
Data structures to store object topologies N.N.
Octree generation for simple objects and CSG N.N.
Octrees meshes for changing/moving geometries N.N.
Thu, May 31, 15:00
Recursively Structured Triangular/Tetrahedral Grids
Recursively structured triangular grid generation - a survey N.N.
Data structures and algorithms for adaptive triangular grids N.N.
Tetrahedral (3D) meshes based on bisection N.N.
Thu, Jun 14, 15:00
Unstructured Meshes
Delauney Triangulation N.N.
Advancing Front methods N.N.
Thu, Jun 28, 15:00
Sparse Grids
Hierarchical Basis representation and approximation of functions on sparse grids N.N.
Classification/Data Mining on sparse grids N.N.
Thu, Jul 5, 15:00
Grid Generation in Practice
amatos - an Adaptive Mesh generator for ATmospheric and Oceanic Simulation N.N.
Unstructured grids in UG N.N.
Grid generation in Diffpack N.N.

Michael Bader