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Build Supercomputers with Raspberry Pi 3

You're reading from   Build Supercomputers with Raspberry Pi 3 A step-by-step guide that will enhance your skills in creating powerful systems to solve complex issues

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Product type Paperback
Published in Mar 2017
Publisher Packt
ISBN-13 9781787282582
Length 254 pages
Edition 1st Edition
Languages
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Author (1):
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Carlos R. Morrison Carlos R. Morrison
Author Profile Icon Carlos R. Morrison
Carlos R. Morrison
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Table of Contents (13) Chapters Close

Preface 1. Getting Started with Supercomputing FREE CHAPTER 2. One Node Supercomputing 3. Preparing the Initial Two Nodes 4. Static IP Address and Hosts File Setup 5. Creating a Common User for All Nodes 6. Creating a Mountable Drive on the Master Node 7. Configuring the Eight Nodes 8. Testing the Super Cluster 9. Real-World Math Application 10. Real-World Physics Application 11. Real-World Engineering Application A. Appendix

MPI concurrent wave equation and code

The following code was borrowed from Blaise Barney of Lawrence Livermore National Laboratory. It is an MPI concurrent wave equation program that the author implemented on his 64-core Pi3 supercomputer.

The code essentially solves a one-dimensional wave equation and it has the following form:

A(i,t+1) = (2.0*A(i,t)) - A(i,t-1)+(c*(A(i-1,t)-(2.0*A(i,t))+A(i+1,t)))

Please see; http://www.robopgmr.com/?p=2780 for more in-depth details and instructions.

Additionally, the code discretizes said vibrating string into points (100 in this slightly modified version of the code) along its length, and calculates the amplitudes of those points as per the number of time steps values (five for this code run) you entered initially, and then displays the results. The author employed all 64 cores of his Pi3 to generate the amplitudes at the points.

Note

The code was initially executed/tested on the author's main PC. The .c file was subsequently SFTP over...

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