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Solving the Heat Transfer Equation by a Finite Difference Method Using Multi-dimensional Arrays in CUDA as in Standard C

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High Performance Computing (CARLA 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1540))

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Abstract

In recent years the increasing necessity to speed up the execution of numerical algorithms has leaded researchers to the use of co-processors and graphic cards such as the NVIDIA GPU’s. Despite CUDA C meta-language was introduced to facilitate the development of general purpose-applications, the solution to the common question: How to allocate (cudaMalloc) two-dimensional array?, is not simple. In this paper, we present a memory structure that allows the use of multidimensional arrays inside a CUDA kernel, to demonstrate its functionality, this structure is applied to the explicit finite difference solution of the non-steady heat transport equation.

This work was partially supported by the project IPN-SIP 20210291.

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Author information

Authors and Affiliations

  1. Universidad Nacional Autónoma de México, Facultad de Estudios Superiores, Naucalpan de Juárez, Mexico

    Josefina Sanchez-Noguez

  2. Instituto Politécnico Nacional, Centro de Desarrollo Aeroespacial, Mexico City, Mexico

    Carlos Couder-Castañeda & J. J. Hernández-Gómez

  3. Instituto Politécnico Nacional, Escuela Superior de Física y Matemáticas, Mexico City, Mexico

    Itzel Navarro-Reyes

Authors
  1. Josefina Sanchez-Noguez
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  2. Carlos Couder-Castañeda
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  3. J. J. Hernández-Gómez
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  4. Itzel Navarro-Reyes
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Corresponding author

Correspondence to Carlos Couder-Castañeda .

Editor information

Editors and Affiliations

  1. Centro de Investigación y de Estudios Avanzados, Mexico City, Mexico

    Isidoro Gitler

  2. Universidad Industrial de Santander, Bucaramanga, Colombia

    Carlos Jaime Barrios Hernández

  3. Centro Nacional de Alta Tecnología, San José, Costa Rica

    Esteban Meneses

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Sanchez-Noguez, J., Couder-Castañeda, C., Hernández-Gómez, J.J., Navarro-Reyes, I. (2022). Solving the Heat Transfer Equation by a Finite Difference Method Using Multi-dimensional Arrays in CUDA as in Standard C. In: Gitler, I., Barrios Hernández, C.J., Meneses, E. (eds) High Performance Computing. CARLA 2021. Communications in Computer and Information Science, vol 1540. Springer, Cham. https://doi.org/10.1007/978-3-031-04209-6_16

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  • DOI: https://doi.org/10.1007/978-3-031-04209-6_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-04208-9

  • Online ISBN: 978-3-031-04209-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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