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351.#.#.b: Geofísica Internacional

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856.4.0.u: http://revistagi.geofisica.unam.mx/index.php/RGI/article/view/2112/1776

100.1.#.a: Teja Juárez, V. Leonardo; De La Cruz, Luis M.

524.#.#.a: Teja Juárez, V. Leonardo, et al. (2018). A Graphic Processing Unit (GPU) based implementation of an incompressible two-phase flow model in porous media. Geofísica Internacional; Vol. 57 No. 3, 2018; 205-222. Recuperado de https://repositorio.unam.mx/contenidos/4102227

245.1.0.a: A Graphic Processing Unit (GPU) based implementation of an incompressible two-phase flow model in porous media

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561.1.#.a: Instituto de Geofísica, UNAM

264.#.0.c: 2018

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653.#.#.a: Modelo bifásico; Newton-Raphson; Unidades de Procesamiento Gráfico (GPU); construcción del Jacobiano; aceleración; Two-phase flow model; Newton-Raphson; Graphics Processing Units (GPU); Jacobian construction; speed up

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2018-07-02, para un uso diferente consultar al responsable jurídico del repositorio por medio de revistagi@igeofisica.unam.mx

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041.#.7.h: eng

520.3.#.a: In this paper a parallelization strategy of a fully implicit simulator for the numerical solution of the incompressible two-phase flow model in porous media is presented using GPUs (Graphics Processing Units). The mathematical model is based on the mass conservation equations for the water and oil phases. Mathematical formulation of Pressure-Saturation is used to simplify the numerical model. The Finite Volume technique and the Newton-Raphson method are used to discretize and linearize the partial differential equations, respectively. The construction of the Jacobian directly on the GPU is proposed, which reduces the information that needs to be exchanged between the CPU (Central Processing Unit) and the GPU. The simulator uses libraries that already include methods that belong to the Krylov subspace to solve linear equations systems. The results of three benchmark problems by using different grid sizes are compared. The performance of the numerical code developed is also evaluated. Results of the GPU against the CPU indicate that the numerical simulator reached 22x of speed up to build the Jacobian, and 3x of speed up for executing the whole numerical code by using the GPU parallelization.

773.1.#.t: Geofísica Internacional; Vol. 57 No. 3 (2018); 205-222

773.1.#.o: http://revistagi.geofisica.unam.mx/index.php/RGI

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harvesting_date: 2020-09-23 00:00:00.0

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last_modified: 2020-10-21 00:00:00

license_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es

license_type: by-nc-nd

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Artículo

A Graphic Processing Unit (GPU) based implementation of an incompressible two-phase flow model in porous media

Teja Juárez, V. Leonardo; De La Cruz, Luis M.

Instituto de Geofísica, UNAM, publicado en Geofísica Internacional, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Instituto de Geofísica, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Teja Juárez, V. Leonardo, et al. (2018). A Graphic Processing Unit (GPU) based implementation of an incompressible two-phase flow model in porous media. Geofísica Internacional; Vol. 57 No. 3, 2018; 205-222. Recuperado de https://repositorio.unam.mx/contenidos/4102227

Descripción del recurso

Autor(es)
Teja Juárez, V. Leonardo; De La Cruz, Luis M.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
A Graphic Processing Unit (GPU) based implementation of an incompressible two-phase flow model in porous media
Fecha
2018-07-02
Resumen
In this paper a parallelization strategy of a fully implicit simulator for the numerical solution of the incompressible two-phase flow model in porous media is presented using GPUs (Graphics Processing Units). The mathematical model is based on the mass conservation equations for the water and oil phases. Mathematical formulation of Pressure-Saturation is used to simplify the numerical model. The Finite Volume technique and the Newton-Raphson method are used to discretize and linearize the partial differential equations, respectively. The construction of the Jacobian directly on the GPU is proposed, which reduces the information that needs to be exchanged between the CPU (Central Processing Unit) and the GPU. The simulator uses libraries that already include methods that belong to the Krylov subspace to solve linear equations systems. The results of three benchmark problems by using different grid sizes are compared. The performance of the numerical code developed is also evaluated. Results of the GPU against the CPU indicate that the numerical simulator reached 22x of speed up to build the Jacobian, and 3x of speed up for executing the whole numerical code by using the GPU parallelization.
Tema
Modelo bifásico; Newton-Raphson; Unidades de Procesamiento Gráfico (GPU); construcción del Jacobiano; aceleración; Two-phase flow model; Newton-Raphson; Graphics Processing Units (GPU); Jacobian construction; speed up
Idioma
eng
ISSN
0016-7169

Enlaces