Various Types of Applications on

the Earth Simlator

Tsunami Simulationon the Earth

Simulator

Tsunami SimulationSupposed to be generated by Earthquake at Nankai Trough in the South-West part of Japan.

Quasi 3D Shallow-Water Equations– Kawahara-Kashiyama Scheme– 3-Step Explicit Time Marching– Linear Triangle Elements

Nankai Trough

Cabinet Office/Government of Japan

Nankai Trough

Nagoya University

Sea Depth in Nankai Trough

Sea Depth in Nankai Trough

Tsunami Simulation8.80105 nodes, 1.76106 elem's

Mesh Size = 1.25 km

Demonstration onthe Earth Simulator

64 PEs on Earth Simulator– 512 GFLOPS peak

1,200 km 1,200 km Region– 923,521 nodes, 1,843,200 elements– 42,255 steps

Parallel Programming Models– Flat MPI– OpenMP/MPI Hybrid

0

16

32

48

64

0 16 32 48 64

PE#

Sp

eed

Up

Demonstration onthe Earth Simulator

64 PEs, 8 SMP Nodes, 42,255 steps

●Flat MPI●Hybrid

ParallelSpeed-Up

0

50

100

150

200

250

0 8 16 24 32 40 48 56 64 72

PE#

GF

LO

PS

Demonstration onthe Earth Simulator

64 PEs, 8 SMP Nodes, 42,255 steps

●Flat MPI

GFLOPS

222 GFLOPS(43% of the Peak)

Groundwater FlowThrough

HeterogeneousPorous Media

BackgroundDeep Geological Disposal of HLW– High-Level Radioactive Waste

– Natural/Engineered Barriers

Long-term simulation (106~108 y) for nuclide transportation

Random Heterogeneous Field– Sedimentary Rock : Porous Media– Granite : Fracture

Deep Geological Disposalof HLW

Disposal Site

SedimentaryRock

GraniteFault

V.TestHole

Tunnels

V.TestHole

JNC, Japan.

ANDRA

Demonstration on the Earth Simulator

Coupled Flow Equations– Saturated Darcy Flow & Energy Equations– Primitive Variable Approach

ICCG/Multigrid for Poisson’s Eqn.

Up to 2M Meshes on ES (1PE)

2.4 GFLOPS (30% of the Peak)

Problem Setting

Heat Generation

Uniform Initial Flow

Uniform Temperature/Pressure at Z=0 surface

Results on EST=0.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=1.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=1.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=2.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=2.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=3.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=3.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=4.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=4.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=5.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=5.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=6.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=6.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=7.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=7.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=8.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=8.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=9.00, Temperature

Uini=0.00 Uini=0.02

Results on EST=9.50, Temperature

Uini=0.00 Uini=0.02

Results on EST=10.0, Temperature

Uini=0.00 Uini=0.02

1.0E+00

1.0E+01

1.0E+02

1.0E+03

1.0E+04

1.E+03 1.E+04 1.E+05 1.E+06 1.E+07

Cells

sec.

Performance on 1 PEElapsed Time for 1,000 Steps

●ICCG●MG

1.0

1.5

2.0

2.5

3.0

1.E+03 1.E+04 1.E+05 1.E+06 1.E+07

Cells

GF

LO

PS

Performance on 1 PEGFLOPS (Over All)

●ICCG●MG

Thermal Stress Analysis of Nuclear

Experimental Facility ( Tube Sheet )

Demonstration on the Earth Simulator

FEA-Visualization Concurrent Coupling

200M DOF on ES (64 SMP nodes)

2.8 GFLOPS / PE (35% of the Peak)

Thermal Stress Analysis

of Tube Sheet

• 全体を均等加熱• PVR によるミーゼス応力表示