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A GPU-accelerated algorithm for solving Navier-Stokes equations. Botezelli et al (2).pdf (4.41 MB)

A GPU-accelerated algorithm for solving Navier-Stokes equations

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conference contribution
posted on 2023-06-08, 13:33 authored by Daniel Botezelli, Elisan dos Santos Magalhaes, Davi Antônio dos Santos, Alain Kassab, Weeratunge MalalasekeraWeeratunge Malalasekera

Real-time fluid engineering simulations require significant computational power and high-resolution grids to ensure accuracy. This paper proposes a novel CUDA-C-based simulation algorithm nemesys that leverages GPU devices to solve the Na vier-Stokes equations with precision and speed. The algorithm uses a Successive Over Relaxation (SOR) iterative process on a multi-dimensional CUDA core to accelerate solving speed. The co-located Rhie and Chow interpolation scheme is applied to unstructured grids to solve the equations using an implicit finite volume method. Benchmark simulations are performed on two problems aimed to validate the effectiveness of the proposed methodology: the classical lid-driven cavity and closed-channel flow. Results exhibit a significant advantage of the proposed method in terms of convergence rate compared to state-of-the-art techniques using varying grid resolutions and Reynolds numbers. Specifically, the strategy is nearly 850 times faster than parallel CPU-based code when utilizing an RTX 3090 Nvidia graphics card. Furthermore, the algorithm's performance is investigated on an airfoil simulation, confirming the approach's effectiveness. The findings highlight that GPU-based parallel programming is a promising approach for achieving real­time simulations, and the proposed algorithm presents a significant improvement over CPU-based techniques. 

Funding

CAPES

CNPq

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

AIAA Aviation and Aeronautics Forum and Exposition (AIAA AVIATION Forum)

Source

AIAA Aviation and Aeronautics Forum and Exposition (AIAA AVIATION Forum)

Publisher

American Institute of Aeronautics and Astronautics, Inc.

Version

  • AM (Accepted Manuscript)

Rights holder

© The Authors

Publisher statement

This is the accepted version of a paper presented at the AIAA AVIATION 2023 FORUM. The definitive published version is available at https://doi.org/10.2514/6.2023-3428.

Acceptance date

2023-05-30

Publication date

2023-06-08

Copyright date

2023

ISBN

9781624107047

Language

  • en

Location

San Diego, USA

Event dates

12th June 2023 - 16th June 2023

Depositor

Prof Weeratunge Malalasekera. Deposit date: 3 June 2023

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