High rayleigh number mantle convection on GPU

David A. Sanchez; Christopher Gonzalez; David A. Yuen; Grady B. Wright; Gregory A. Barnett

doi:10.1007/978-3-642-16405-7_22

High rayleigh number mantle convection on GPU

David A. Sanchez, Christopher Gonzalez, David A. Yuen, Grady B. Wright, Gregory A. Barnett

Earth and Environmental Sciences-Twin Cities

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We implemented two- and three-dimensional Rayleigh–Benard convection on Nvidia GPUs by utilizing a 2nd-order finite difference method. By exploiting the massive parallelism of GPU using both CUDA for C and optimized CUBLAS routines, we have on a single Fermi GPU run simulations of Rayleigh number up to 6 × 10¹⁰ (on a mesh of 2000 × 4000 uniform grid points) in two dimensions and up to 10⁷ (on a mesh of 450 × 450 × 225 uniform grid points) for three dimensions. On Nvidia Tesla C2070 GPUs, these implementations enjoy single-precision performance of 535 GFLOP/s and 100 GFLOP/s respectively, and double-precision performance of 230 GFLOP/s and 70 GFLOP/s respectively.

Original language	English (US)
Title of host publication	Lecture Notes in Earth System Sciences
Publisher	Springer International Publishing
Pages	335-352
Number of pages	18
Edition	9783642164040
DOIs	https://doi.org/10.1007/978-3-642-16405-7_22
State	Published - 2013

Publication series

Name	Lecture Notes in Earth System Sciences
Number	9783642164040
Volume	0
ISSN (Print)	2193-8571
ISSN (Electronic)	2193-858X

Bibliographical note

Funding Information:
Fig.22.9 Nuhistogramcorrespondingtothedatain(Fig.22.3).Ra3×1010isinblueand6×1010 is in purple Acknowledgments We thank Matt Knepley for stimulating discussions on GPU. This research has been supported by NSF CMG grant.

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© Springer-Verlag Berlin Heidelberg 2013.

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title = "High rayleigh number mantle convection on GPU",

abstract = "We implemented two- and three-dimensional Rayleigh–Benard convection on Nvidia GPUs by utilizing a 2nd-order finite difference method. By exploiting the massive parallelism of GPU using both CUDA for C and optimized CUBLAS routines, we have on a single Fermi GPU run simulations of Rayleigh number up to 6 × 1010 (on a mesh of 2000 × 4000 uniform grid points) in two dimensions and up to 107 (on a mesh of 450 × 450 × 225 uniform grid points) for three dimensions. On Nvidia Tesla C2070 GPUs, these implementations enjoy single-precision performance of 535 GFLOP/s and 100 GFLOP/s respectively, and double-precision performance of 230 GFLOP/s and 70 GFLOP/s respectively.",

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doi = "10.1007/978-3-642-16405-7_22",

language = "English (US)",

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AU - Sanchez, David A.

AU - Gonzalez, Christopher

AU - Yuen, David A.

AU - Wright, Grady B.

AU - Barnett, Gregory A.

N1 - Funding Information: Fig.22.9 Nuhistogramcorrespondingtothedatain(Fig.22.3).Ra3×1010isinblueand6×1010 is in purple Acknowledgments We thank Matt Knepley for stimulating discussions on GPU. This research has been supported by NSF CMG grant. Publisher Copyright: © Springer-Verlag Berlin Heidelberg 2013.

PY - 2013

Y1 - 2013

N2 - We implemented two- and three-dimensional Rayleigh–Benard convection on Nvidia GPUs by utilizing a 2nd-order finite difference method. By exploiting the massive parallelism of GPU using both CUDA for C and optimized CUBLAS routines, we have on a single Fermi GPU run simulations of Rayleigh number up to 6 × 1010 (on a mesh of 2000 × 4000 uniform grid points) in two dimensions and up to 107 (on a mesh of 450 × 450 × 225 uniform grid points) for three dimensions. On Nvidia Tesla C2070 GPUs, these implementations enjoy single-precision performance of 535 GFLOP/s and 100 GFLOP/s respectively, and double-precision performance of 230 GFLOP/s and 70 GFLOP/s respectively.

AB - We implemented two- and three-dimensional Rayleigh–Benard convection on Nvidia GPUs by utilizing a 2nd-order finite difference method. By exploiting the massive parallelism of GPU using both CUDA for C and optimized CUBLAS routines, we have on a single Fermi GPU run simulations of Rayleigh number up to 6 × 1010 (on a mesh of 2000 × 4000 uniform grid points) in two dimensions and up to 107 (on a mesh of 450 × 450 × 225 uniform grid points) for three dimensions. On Nvidia Tesla C2070 GPUs, these implementations enjoy single-precision performance of 535 GFLOP/s and 100 GFLOP/s respectively, and double-precision performance of 230 GFLOP/s and 70 GFLOP/s respectively.

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SP - 335

EP - 352

BT - Lecture Notes in Earth System Sciences

PB - Springer International Publishing

ER -

High rayleigh number mantle convection on GPU

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