A Simplified GPU Implementation of the Hybrid Lattice Boltzmann Model for Three-Dimensional High Rayleigh Number Flows; International Journal of Applied Mechanics; Vol. 15, iss. 6

Bibliographic Details
Parent link:International Journal of Applied Mechanics.— .— Hackensack: World Scientific Publishing Co. Pte. Ltd.
Vol. 15, iss. 6.— 2023.— Article number 2350047, 15 p.
Main Author: Nee A. E. Aleksandr Eduardovich
Other Authors: Chamkha A. J. Ali
Summary:Title screen
This paper provides an analysis of the numerical performance of a hybrid computational fluid dynamics (CFD) solver for 3D natural convection. We propose to use the lattice Boltzmann equations with the two-relaxation time approximation for the fluid flow, whereas thermodynamics is described by the macroscopic energy equation with the finite difference solution. An in-house parallel graphics processing unit (GPU) code is written in MATLAB. The execution time of every single step of the algorithm is studied. It is found that the explicit finite difference scheme is not as stable as the implicit one for high Rayleigh numbers. The most time-consuming steps are energy and collide, while stream, boundary conditions, and macroscopic parameters recovery are executed in no time, despite the grid size under consideration. GPU code is more than 30 times faster than a typical low-end central processing unit-based code. The proposed hybrid model can be used for real-time simulation of physical systems under laminar flow behavior and on mid-range segment GPUs
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Language:English
Published: 2023
Subjects:
Online Access:https://doi.org/10.1142/S1758825123500473
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=685528
Description
Summary:Title screen
This paper provides an analysis of the numerical performance of a hybrid computational fluid dynamics (CFD) solver for 3D natural convection. We propose to use the lattice Boltzmann equations with the two-relaxation time approximation for the fluid flow, whereas thermodynamics is described by the macroscopic energy equation with the finite difference solution. An in-house parallel graphics processing unit (GPU) code is written in MATLAB. The execution time of every single step of the algorithm is studied. It is found that the explicit finite difference scheme is not as stable as the implicit one for high Rayleigh numbers. The most time-consuming steps are energy and collide, while stream, boundary conditions, and macroscopic parameters recovery are executed in no time, despite the grid size under consideration. GPU code is more than 30 times faster than a typical low-end central processing unit-based code. The proposed hybrid model can be used for real-time simulation of physical systems under laminar flow behavior and on mid-range segment GPUs
Текстовый файл
AM_Agreement
DOI:10.1142/S1758825123500473