Computational Science and the GEM Project GEM Workshop Santa Fe October 24-25 1997

10/26/97


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Table of Contents

Computational Science and the GEM Project GEM Workshop Santa Fe October 24-25 1997

Abstract of GEM Workshop Presentation on Computational Science

Some International HPCC Activities

Some Relevant Lessons from HPCC

New Initiatives of Current HPCC

Possible Special Features of Earthquake Simulation

Basic Computational Structure - I

Basic Computational Structure - II

Analysis of Computational Structure

First two Solutions of O(N2) Computational Complexity

Second two Solutions of O(N2) Computational Complexity

Basic Idea of Fast Multipole Algorithm

Intermediate results of a computation of 322 million particles on ASCI Red

Intermediate results of a computation of 9.7 million particles on PC Cluster loki

Some Performance Results of Interest from Salmon and Warren

Hierarchical Breakup of 2D Space

Simple Illustration of Tree Data Structure

Tree Structure for 10,000 bodies centrally clustered in a disk

Generation of Tree for a small number of particles

3 Approximations to Force on a Particle in Fast Multipole Approach

Parallelism in O(N2) N Body Approach I

Parallelism in O(N2) N Body Approach II

Parallelism in Cut Off Force Approach

Problems in Cut off Force Parallelism

Generation of Keys in Salmon Warren Method

Generation of 3D Key for Salmon Warren

Parallelism in Salmon Warren Approach

Two Space Filling Curves

Morton Curve split up into 8 processors represented by different gray levels

Space Filling Curve chopped up into equal length parts

Parallel Algorithm in Fast Multipole I

Locally essential Data for Processor in Bottom Left Hand Corner of Processor Array

Parallel Algorithm in Fast Multipole II

Scaling Ideas in GEM

Lessons from Other Fields

Author: Geoffrey Fox

Email: gcf@npac.syr.edu

Home Page: http://www.npac.syr.edu