Implementing 3D Finite Difference Codes on the GPU

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Outline • Single GPU Implementation – 2-pass and 1-pass approaches – Performance evaluation • Multi-GPU Implementation – Scalability on clusters
<strong>3D</strong> <strong>Finite</strong> <strong>Difference</strong> • 25-point stencil (8 th order in space) • Isotropic: 5 distinct coefficients • For each output element we need: – 29 flops – 25 input values • Some applications: – FD of the wave equation (oil & gas exploration)
Page 1: Implementing <stro
Page 5 and 6: Naive Implementation • One thread
Page 7 and 8: Input Reuse within a 2x2 Threadbloc
Page 9 and 10: y Process at z = k+1 z x Stored in
Page 11 and 12: y Process at z = k+3 z x Stored in
Page 13 and 14: Using Shared Memory: Single Pass
Page 15 and 16: Performance for Various Stencil Siz
Page 17 and 18: ------- advance the slice (move the
Page 19 and 20: Processing Phases for 2 GPUs Phase
Page 21 and 22: 4-GPU Performance using MPI Communi
Page 23 and 24: Multi-GPU Performance Using MPI+Ope
Page 25 and 26: Comparing MPI and MPI+OMP performan
Page 27 and 28: Communication and Computation Overl
Page 29 and 30: Computation and Communication Costs
Page 31: Questions?

Implementing 3D Finite Difference Codes on the GPU

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