Presentation 2015-03-04
A Parallel Algorithm for Realizing the Lax-Friedrichs Scheme in Computational Fluid Dynamics and its FPGA Implementation
Yusuke HAGA, Shinobu NAGAYAMA, Shin'ichi WAKABAYASHI, Masato INAGI,
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Abstract(in English) In the model of partial differential equations used in complex numerical simulations such as fluid analysis, it is difficult to obtain an analytical solution. Therefore, it is common to use a finite different method, which is one of numerical simulation methods, for obtaining a numerical solution. Numerical simulation methods generally require much amount of computation time, and thus many works have been done to develop special-purpose hardware for numerical simulation to shorten its computation time. In this paper, we focus on the Lax-Friedrichs scheme used to solve the one-dimensional linear advection equation, and propose a parallelized algorithm of the Lax-Friedrichs scheme to be implemented as a special-purpose circuit on the FPGA chip to shorten the computation time of numerical simulation. We implement the proposed circuit on the FPGA chip, and experimentally evaluate its performance in the simulation.
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Keyword(in English) FPGA / Lax-Friedrich scheme / Parallel Algorithm
Paper # VLD2014-180
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Committee VLD
Conference Date 2015/2/23(1days)
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Registration To VLSI Design Technologies (VLD)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Parallel Algorithm for Realizing the Lax-Friedrichs Scheme in Computational Fluid Dynamics and its FPGA Implementation
Sub Title (in English)
Keyword(1) FPGA
Keyword(2) Lax-Friedrich scheme
Keyword(3) Parallel Algorithm
1st Author's Name Yusuke HAGA
1st Author's Affiliation Graduate School of Information Sciences, Hiroshima City University()
2nd Author's Name Shinobu NAGAYAMA
2nd Author's Affiliation Graduate School of Information Sciences, Hiroshima City University
3rd Author's Name Shin'ichi WAKABAYASHI
3rd Author's Affiliation Graduate School of Information Sciences, Hiroshima City University
4th Author's Name Masato INAGI
4th Author's Affiliation Graduate School of Information Sciences, Hiroshima City University
Date 2015-03-04
Paper # VLD2014-180
Volume (vol) vol.114
Number (no) 476
Page pp.pp.-
#Pages 6
Date of Issue