Various Types of Applications on the Earth Simlator

Tsunami Simulation on the Earth Simulator

Tsunami Simulation Supposed 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

Tsunami Simulation 8.80  10 5 nodes, 1.76  10 6 elem's Mesh Size = 1.25 km

Demonstration on the 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

Demonstration on the Earth Simulator 64 PEs, 8 SMP Nodes, 42,255 steps ●Flat MPI ●Hybrid Parallel Speed-Up

Demonstration on the Earth Simulator 64 PEs, 8 SMP Nodes, 42,255 steps ●Flat MPI GFLOPS 222 GFLOPS (43% of the Peak)

Groundwater Flow Through Heterogeneous Porous Media

Background Deep Geological Disposal of HLW –High-Level Radioactive Waste –Natural/Engineered Barriers Long-term simulation (10 6 ~10 8 y) for nuclide transportation Random Heterogeneous Field –Sedimentary Rock : Porous Media –Granite : Fracture

Deep Geological Disposal of HLW Disposal Site Sedimentary Rock Granite Fault V.Test Hole Tunnels V.Test Hole 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 ES T=0.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=1.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=1.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=2.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=2.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=3.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=3.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=4.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=4.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=5.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=5.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=6.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=6.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=7.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=7.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=8.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=8.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=9.00, Temperature U ini =0.00 U ini =0.02

Results on ES T=9.50, Temperature U ini =0.00 U ini =0.02

Results on ES T=10.0, Temperature U ini =0.00 U ini =0.02

Performance on 1 PE Elapsed Time for 1,000 Steps ●ICCG ●MG

Performance on 1 PE GFLOPS (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