GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical Simulation
This paper designs a highly parallel Nested Factorization (NF) to solve large linear equations generated in reservoir numerical simulation problems. The NF method is a traditional linear solution preprocessing method for reservoir numerical simulation problems, and has regained attention in recent y...
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Universidad Nacional de Colombia
2019-07-01
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| Series: | Earth Sciences Research Journal |
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| Online Access: | https://revistas.unal.edu.co/index.php/esrj/article/view/81669 |
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| author | Xin Shi Yuan Di |
| author_facet | Xin Shi Yuan Di |
| author_sort | Xin Shi |
| collection | DOAJ |
| description | This paper designs a highly parallel Nested Factorization (NF) to solve large linear equations generated in reservoir numerical simulation problems. The NF method is a traditional linear solution preprocessing method for reservoir numerical simulation problems, and has regained attention in recent years due to its potential to extend to parallel architectures such as GPUs (Graphics Processor Units). The parallel algorithm of this paper is based on the MPNF (Massively Parallel Nested Factorization) framework proposed by Appleya (Appleyard, Appleyard, Wakefield, & Desitter, 2011). The MPNF algorithm designed in this paper focuses on its efficient implementation on the GPU parallel architecture. Its features include: using a custom matrix structure to achieve merge access, improving access bottlenecks and improving the efficiency of the SpMV algorithm. It is also applicable to the two-stage preprocessing method CPR. (Constrain Pressure Residual) pressure solution and global preprocessing stage; the MPNF method is extended to the solution of 2.5-dimensional unstructured grid problem. The parallel algorithm in this paper has been integrated into the reservoir numerical simulator. For the SPE10 (million grid, highly heterogeneous) standard example, the GPU-based parallel NF algorithm is in the structured grid model and the equivalent 2.5-dimensional non- On the structured grid model, compared with the serial version of the NF method, the acceleration ratios of 19.8 and 17.0 times were obtained respectively; compared with the mainstream serial solution method, the efficiency was also improved by 2 to 3 times. |
| format | Article |
| id | doaj-art-20b798d66a5e44369b51a5c0ed3905ea |
| institution | OA Journals |
| issn | 1794-6190 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Universidad Nacional de Colombia |
| record_format | Article |
| series | Earth Sciences Research Journal |
| spelling | doaj-art-20b798d66a5e44369b51a5c0ed3905ea2025-08-20T02:28:59ZengUniversidad Nacional de ColombiaEarth Sciences Research Journal1794-61902019-07-0123324925710.15446/esrj.v23n3.8166951764GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical SimulationXin Shi0Yuan Di1Peking University - College of EngineeringPeking University - College of EngineeringThis paper designs a highly parallel Nested Factorization (NF) to solve large linear equations generated in reservoir numerical simulation problems. The NF method is a traditional linear solution preprocessing method for reservoir numerical simulation problems, and has regained attention in recent years due to its potential to extend to parallel architectures such as GPUs (Graphics Processor Units). The parallel algorithm of this paper is based on the MPNF (Massively Parallel Nested Factorization) framework proposed by Appleya (Appleyard, Appleyard, Wakefield, & Desitter, 2011). The MPNF algorithm designed in this paper focuses on its efficient implementation on the GPU parallel architecture. Its features include: using a custom matrix structure to achieve merge access, improving access bottlenecks and improving the efficiency of the SpMV algorithm. It is also applicable to the two-stage preprocessing method CPR. (Constrain Pressure Residual) pressure solution and global preprocessing stage; the MPNF method is extended to the solution of 2.5-dimensional unstructured grid problem. The parallel algorithm in this paper has been integrated into the reservoir numerical simulator. For the SPE10 (million grid, highly heterogeneous) standard example, the GPU-based parallel NF algorithm is in the structured grid model and the equivalent 2.5-dimensional non- On the structured grid model, compared with the serial version of the NF method, the acceleration ratios of 19.8 and 17.0 times were obtained respectively; compared with the mainstream serial solution method, the efficiency was also improved by 2 to 3 times.https://revistas.unal.edu.co/index.php/esrj/article/view/81669nested decompositiongpu parallellinear solutioncpr |
| spellingShingle | Xin Shi Yuan Di GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical Simulation Earth Sciences Research Journal nested decomposition gpu parallel linear solution cpr |
| title | GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical Simulation |
| title_full | GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical Simulation |
| title_fullStr | GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical Simulation |
| title_full_unstemmed | GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical Simulation |
| title_short | GPU Parallelization Nested Decomposition Method for Solving Large Linear Systems in Reservoir Numerical Simulation |
| title_sort | gpu parallelization nested decomposition method for solving large linear systems in reservoir numerical simulation |
| topic | nested decomposition gpu parallel linear solution cpr |
| url | https://revistas.unal.edu.co/index.php/esrj/article/view/81669 |
| work_keys_str_mv | AT xinshi gpuparallelizationnesteddecompositionmethodforsolvinglargelinearsystemsinreservoirnumericalsimulation AT yuandi gpuparallelizationnesteddecompositionmethodforsolvinglargelinearsystemsinreservoirnumericalsimulation |