Title
Solution of the neutron diffusion equation through multigrid methods implemented on a memory-coupled 25-processor system
Abstract
For the complex task to attain maximum use and maximum security maintenance of nuclear reactors, we simulate the physical behaviour by way of mathematical models. The stationary solution of the Neutron Diffusion Equation as an eigenvalue problem, presented in this paper, results in a large non-linear partial differential equation system (PDE) whose solution is parallelized and implemented on the DIRMU multiprocessor system. We demonstrate that modern algorithms (e.g. multigrid methods) combined with innovative hardware (e.g. vector-multiprocessor systems) can lead to powerful tools which are needed for real-time simulation of physical events. This approach also allows to solve problems which arise in fluid dynamics, aerodynamics, weather forecast, etc. in a reasonable amount of time.
Year
DOI
Venue
1988
10.1016/0167-8191(88)90144-5
PARALLEL COMPUTING
Keywords
Field
DocType
parallel multigrid methods,memory-coupled multiprocessor system,multigrid method,diffusion equation
Neutron diffusion,Computer science,Parallel computing,Multiprocessing,Theoretical computer science,Fluid dynamics,Mathematical model,Partial differential equation,Multigrid method,Eigenvalues and eigenvectors,Aerodynamics
Journal
Volume
Issue
ISSN
8
1-3
0167-8191
Citations 
PageRank 
References 
2
0.40
2
Authors
4
Name
Order
Citations
PageRank
H. Finnemann141.25
J. Brehm220.40
E. Michel320.40
J. Volkert4464.95