Simulation of nonlinear distributed parameter systems on the connection machine

The recently introduced Connection Machine, CM-2, is a multiprocessor with massive parallelism. Fully expanded, the CM-2 consists of 64K processing elements connected in a hypercube topology. Each processing element contains a single-bit arithmetic and logic unit as well as up to 256K bits of local...

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Bibliographic Details
Published in:Simulation (San Diego, Calif.) Calif.), 1990-11, Vol.55 (5), p.271-281
Main Authors: Kogan, Boris Y., Karplus, Walter J., Pang, Alex T.
Format: Article
Language:English
Subjects:
990200 - Mathematics & Computers
ARRAY PROCESSORS
BODY
CARDIOVASCULAR SYSTEM
COMPUTER ARCHITECTURE
Computer simulation
COMPUTERIZED SIMULATION
COMPUTERS
Connection Machine
DATA PROCESSING
DIFFERENTIAL EQUATIONS
DISTRIBUTED DATA PROCESSING
Distributed parameter systems
ELECTRONIC CIRCUITS
EQUATIONS
Excitation
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HEART
HYPERCUBE COMPUTERS
LOGIC CIRCUITS
MATHEMATICAL MODELS
MATHEMATICS
Media
MUSCLES
MYOCARDIUM
NONLINEAR PROBLEMS
ORGANS
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROCESSING
PROGRAMMING
SIMULATION
TOPOLOGY
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Summary:The recently introduced Connection Machine, CM-2, is a multiprocessor with massive parallelism. Fully expanded, the CM-2 consists of 64K processing elements connected in a hypercube topology. Each processing element contains a single-bit arithmetic and logic unit as well as up to 256K bits of local memory. Operation is in the SIMD mode with a single control unit controlling all the processors. In this paper the application of a quarter CM-2 (16K processing elements) to the simulation of excitable media is described. Excitable media are distributed parameter systems, charac terized by nonlinear partial differential equations, containing distributed sources of energy. Excitable media arise in biological systems (e.g. heart muscles), chemical processes and a variety of other application areas. The implementation of a mathematical model for the heart muscle on the CM-2 permitted the generation of very interesting computational results.
ISSN:0037-5497
1741-3133
DOI:10.1177/003754979005500504