Abstract
Simulations of PDE-based systems, such as flight vehicles, the global climate, petroleum reservoirs, semiconductor devices, and nuclear weapons, typically perform an order of magnitude or more below other scientific simulations (e.g., from chemistry and physics) with dense linear algebra or N-body kernels at their core. In this presentation, we briefly review the algorithmic structure of typical PDE solvers that is responsible for this situation and consider possible architectural and algorithmic sources for performance improvement. Some of these improvements are also applicable to other types of simulations, but we examine their consequences for PDEs: potential to exploit orders of magnitude more processor-memory units, better organization of the simulation for today’s and likely near-future hierarchical memories, alternative formulations of the discrete systems to be solved, and new horizons in adaptivity. Each category is motivated by recent experiences in computational aerodynamics at the 1 Teraflop/s scale.
Original language | English (US) |
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Title of host publication | Euro-Par 2000 Parallel Processing - 6th International Euro-Par Conference, Proceedings |
Editors | Arndt Bode, Thomas Ludwig, Wolfgang Karl, Roland Wismüller |
Publisher | Springer Verlag |
Pages | 1-17 |
Number of pages | 17 |
ISBN (Electronic) | 9783540679561 |
DOIs | |
State | Published - 2000 |
Externally published | Yes |
Event | 6th International European Conference on Parallel Computing, Euro-Par 2000 - Munich, Germany Duration: Aug 29 2000 → Sep 1 2000 |
Publication series
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 1900 |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Other
Other | 6th International European Conference on Parallel Computing, Euro-Par 2000 |
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Country/Territory | Germany |
City | Munich |
Period | 08/29/00 → 09/1/00 |
Bibliographical note
Publisher Copyright:© Springer-Verlag Berlin Heidelberg 2000.
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science