alexa Accelerating the GMRES Solver with Block ILU (K) Precon
ISSN: 2381-8719

Journal of Geology & Geophysics
Open Access

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Research Article

Accelerating the GMRES Solver with Block ILU (K) Preconditioner on GPUs in Reservoir Simulation

Hui Liu, Bo Yang and Zhangxin Chen*
Department of Chemical and Petroleum Engineering, University of Calgary, Calgary, AB, T2N1N4, Canada
*Corresponding Author : Chen Z
Department of Chemical
and Petroleum Engineering
University of Calgary, Calgary
AB, T2N1N4, Canada
Tel: +1 (403) 220-5751
E-mail: [email protected]
Received August 12, 2014; Accepted October 10, 2014; Published October 13, 2014
Citation: Liu H, Yang B, Chen Z (2015) Accelerating the GMRES Solver with Block ILU (K) Preconditioner on GPUs in Reservoir Simulation. J Geol Geosci 4:199. doi:10.4172/2329-6755.1000199
Copyright: © 2015 Liu H, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


This paper studies the parallelization of the restarted GMRES solver, GMRES (m), and the block ILU (k) preconditioner on GPUs used in petroleum reservoir simulations. The difficulty is how to accelerate this preconditioner with a variable block size. In this paper, parallel solution techniques for block triangular systems are proposed, which work for matrices with an arbitrary block size. These techniques also work with an arbitrary level k for the block ILU (k) preconditioner. Numerical experiments show that the GPU-based linear solver GMRES (m) is much faster than its CPU version.


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