ALADDIN
CENTER Carnegie Mellon UniversityCarnegie Mellon Computer Science DepartmentSchool of Computer Science
REU
Solving Partial Differential Equations Numerically
Aladdin
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Miklos
Bergou

Samuel
Hund

This project is working with a group that is developing a code that interlinks a prototype moving mesh simulation, with Partial Differential Equation (PDE) solvers in order to solve complex engineering problems. The advanced features of the mesh generator allow for complex two-dimensional problems to be solved. This project encompasses two problems. The first is implementing a cell membrane (for a red blood cell) into a previously developed convection problem. The second problem is to model thrombus formation on the wall of a sudden expansion. The undergraduate student is working closely with the engineers, mathematicians, and computer scientists involved with the code. The engineers are responsible for developing the problems that will be solved, while the undergraduate researcher is responsible for implementing them into code.

Preliminary Presentation (pdf)
Final Presentation (pdf)

 

Other REUs for Summer 2004

Algorithms for Dynamic Point Location with Good Practical Performance
A Bezier-Based Approach to Unstructured Moving Meshes
Evaluation of Algorithms for the List Update Problem
Exploring PLS-Completeness of Simple Stochastic Game (or Stable Circuit Problem)
Fast and Compact Data Structures
The Game of NimG (Nim on Graphs)
Random Graph Models of Large Real-World Networks
Solving Partial Differential Equations Numerically
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This material is based upon work supported by National Science Foundation under Grant No. 0122581.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the
National Science Foundation