Pentium Pro inside: I. a treecode at 430 Gigaflops on ASCI Red; II. price/performance of $50/Mflop on Loki and Hyglac

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As an entry for the 1997 Gordon Bell performance prize, we present results from two methods of solving the gravitational N-body problem on the Intel Teraflops system at Sandia National Laboratory (ASCI Red). The first method, an O(N{sup 2}) algorithm, obtained 635 Gigaflops for a 1 million particle problem on 6800 Pentium Pro processors. The second solution method, a tree-code which scales as O(N log N), sustained 170 Gigaflops over a continuous 9.4 hour period on 4096 processors, integrating the motion of 322 million mutually interacting particles in a cosmology simulation, while saving over 100 Gigabytes of raw data. Additionally, ... continued below

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18 p.

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Warren, M.S.; Becker, D.J.; Sterling, T.; Salmon, J.K.; Goda, M.P. & Winckelmans, G.S. June 1, 1997.

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  • Warren, M.S. Los Alamos National Lab., NM (United States)
  • Becker, D.J. Goddard Space Flight Center, Greenbelt, MD (United States)
  • Sterling, T.
  • Salmon, J.K. California Inst. of Tech., Pasadena, CA (United States). Center for Advanced Computing Research
  • Goda, M.P. Los Alamos National Lab., NM (United States)
  • Winckelmans, G.S. Universite Catholique de Louvain, Louvain (Belgium). Mechanical Engineering Dept.

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As an entry for the 1997 Gordon Bell performance prize, we present results from two methods of solving the gravitational N-body problem on the Intel Teraflops system at Sandia National Laboratory (ASCI Red). The first method, an O(N{sup 2}) algorithm, obtained 635 Gigaflops for a 1 million particle problem on 6800 Pentium Pro processors. The second solution method, a tree-code which scales as O(N log N), sustained 170 Gigaflops over a continuous 9.4 hour period on 4096 processors, integrating the motion of 322 million mutually interacting particles in a cosmology simulation, while saving over 100 Gigabytes of raw data. Additionally, the tree-code sustained 430 Gigaflops on 6800 processors for the first 5 time-steps of that simulation. This tree-code solution is approximately 105 times more efficient than the O(N{sup 2}) algorithm for this problem. As an entry for the 1997 Gordon Bell price/performance prize, we present two calculations from the disciplines of astrophysics and fluid dynamics. The simulations were performed on two 16 Pentium Pro processor Beowulf-class computers (Loki and Hyglac) constructed entirely from commodity personal computer technology, at a cost of roughly $50k each in September, 1996. The price of an equivalent system in August 1997 is less than $30. At Los Alamos, Loki performed a gravitational tree-code N-body simulation of galaxy formation using 9.75 million particles, which sustained an average of 879 Mflops over a ten day period, and produced roughly 10 Gbytes of raw data.

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18 p.

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OSTI as DE98000260

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  • Supercomputing `97, Las Vegas, NV (United States), 30 Jun - 3 Jul 1997

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  • Other: DE98000260
  • Report No.: LA-UR--97-3456
  • Report No.: CONF-9706166--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 629329
  • Archival Resource Key: ark:/67531/metadc692934

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  • June 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Aug. 8, 2016, 8:39 p.m.

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Warren, M.S.; Becker, D.J.; Sterling, T.; Salmon, J.K.; Goda, M.P. & Winckelmans, G.S. Pentium Pro inside: I. a treecode at 430 Gigaflops on ASCI Red; II. price/performance of $50/Mflop on Loki and Hyglac, article, June 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc692934/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.