FPGA-Based Distributed Computing Microarchitecture for Complex Physical Dynamics Investigation
- 16 May 2013
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Neural Networks and Learning Systems
- Vol. 24 (9), 1390-1399
- https://doi.org/10.1109/tnnls.2013.2252924
Abstract
In this paper, we present a distributed computing system, called DCMARK, aimed at solving partial differential equations at the basis of many investigation fields, such as solid state physics, nuclear physics, and plasma physics. This distributed architecture is based on the cellular neural network paradigm, which allows us to divide the differential equation system solving into many parallel integration operations to be executed by a custom multiprocessor system. We push the number of processors to the limit of one processor for each equation. In order to test the present idea, we choose to implement DCMARK on a single FPGA, designing the single processor in order to minimize its hardware requirements and to obtain a large number of easily interconnected processors. This approach is particularly suited to study the properties of 1-, 2- and 3-D locally interconnected dynamical systems. In order to test the computing platform, we implement a 200 cells, Korteweg-de Vries (KdV) equation solver and perform a comparison between simulations conducted on a high performance PC and on our system. Since our distributed architecture takes a constant computing time to solve the equation system, independently of the number of dynamical elements (cells) of the CNN array, it allows us to reduce the elaboration time more than other similar systems in the literature. To ensure a high level of reconfigurability, we design a compact system on programmable chip managed by a softcore processor, which controls the fast data/control communication between our system and a PC Host. An intuitively graphical user interface allows us to change the calculation parameters and plot the results.Keywords
This publication has 38 references indexed in Scilit:
- Shallow Water Waves and Solitary WavesPublished by Springer Science and Business Media LLC ,2009
- The Fermi-Pasta-Ulam ProblemPublished by Springer Science and Business Media LLC ,2008
- Inhomogeneous dispersive and dissipative nonlinear transmission lines and solitonsLettere al Nuovo Cimento (1971-1985), 1983
- Three-dimensional ion-acoustic waves in a collisionless plasmaLettere al Nuovo Cimento (1971-1985), 1982
- Experimental and Theoretical Study of the Recurrence Phenomena in Nonlinear Transmission LineJournal of the Physics Society Japan, 1980
- Wave Propagation in Nonlinear Lattice. IJournal of the Physics Society Japan, 1975
- Korteweg‐devries equation and generalizations. VI. methods for exact solutionCommunications on Pure and Applied Mathematics, 1974
- On finite-difference methods for the Korteweg-de Vries equationJournal of Engineering Mathematics, 1971
- Method for Solving the Korteweg-deVries EquationPhysical Review Letters, 1967
- Propagation of Ion-Acoustic Solitary Waves of Small AmplitudePhysical Review Letters, 1966