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A dual-lattice hydrodynamic-thermal MRT-LBM model implemented on GPU for DNS calculations of turbulent thermal flows
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-9707-5396
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-4916-9566
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-8360-9051
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-1033-0244
2023 (English)In: International journal of numerical methods for heat & fluid flow, ISSN 0961-5539, E-ISSN 1758-6585, Vol. 33, no 5, p. 1703-1725Article in journal (Refereed) Published
Abstract [en]

Purpose

The purpose of this paper is to present a fast and bare bones implementation of a numerical method for quickly simulating turbulent thermal flows on GPUs. The work also validates earlier research showing that the lattice Boltzmann method (LBM) method is suitable for complex thermal flows.

Design/methodology/approach

A dual lattice hydrodynamic (D3Q27) thermal (D3Q7) multiple-relaxation time LBM model capable of thermal DNS calculations is implemented in CUDA.FindingsThe model has the same computational performance compared to earlier publications of similar LBM solvers. The solver is validated against three benchmark cases for turbulent thermal flow with available data and is shown to be in excellent agreement.

Originality/value

The combination of a D3Q27 and D3Q7 stencil for a multiple relaxation time -LBM has, to the authors’ knowledge, not been used for simulations of thermal flows. The code is made available in a public repository under a free license.

Place, publisher, year, edition, pages
Emerald Group Publishing Limited, 2023. Vol. 33, no 5, p. 1703-1725
Keywords [en]
Lattice Boltzmann method, Turbulence, Thermal flows, Direct numerical simulation
National Category
Fluid Mechanics
Research subject
Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-93178DOI: 10.1108/HFF-06-2022-0339ISI: 000893826100001Scopus ID: 2-s2.0-85143219027OAI: oai:DiVA.org:ltu-93178DiVA, id: diva2:1698050
Funder
Swedish Research Council, 2017-04390
Note

Validerad;2023;Nivå 2;2023-07-13 (sofila);

This article has previously appeared as a manuscript in a thesis

Available from: 2022-09-22 Created: 2022-09-22 Last updated: 2025-02-09Bibliographically approved
In thesis
1. Transitional flow in ordered porous media
Open this publication in new window or tab >>Transitional flow in ordered porous media
2022 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Porous media, here defined as any permeable structure allowing a fluid to flow through, are relevant to a multitude of engineering applications and natural processes. The observed macroscopic properties of the porous media such as mixing, heat transfer and apparent permeability are properties which are affected by the flow and especially the type of flow, or flow region. The flow regions are characterized by the ratio of the convective to viscous forces, called the Reynolds number (Re). Of these regions the transition from inertial laminar flow to fully turbulent flow is the least understood. In comparison to flows in straight pipes the onset of inertial and unsteady phenomena in porous beds do not coincide, also the transition region stretches over orders of magnitude in Re for most porous beds. In porous media this domain is characterized by temporally long-lived and spatially large scale flow structures which interact in unpredictable ways leading to dramatic shifts of the behavior of the macroscopic properties. To improve the understanding of this transitional domain, ordered materials, that reduce geometrically induced flow complexities, are studied with both numerical and experimental methods.

In Paper A two types of ordered porous media with the same porosity but varying tortuosity are investigated using tomographic Particle Image Velocimetry and pressure measurements. The variation of Re gives an almost complete overview from the onset of inertial effects up to the start of the turbulent region. Two pore-scale phenomena were disclosed from the complex flow patterns that appeared. The first is an inertial steady effect first assumed to be caused by wall effects. In Paper D it was, however, discovered that the phenomenon materializes independently of wall effects. Instead it is a specific case of a more general inertial transition occurring for a wide range of porous media. A second pore-scale effect is a form of inertial core symmetry break-up that occurs in low-tortuosity porous media. This symmetry break-up is correlated to a sharp increase in the average pressure drop. The second flow structure was reproduced using numerical methods in Paper B forming the basis of a more comprehensive discussion on how these structures impact the usage of periodic conditions when modelling porous media.

The possibility of using high performance Graphics Processing Unit (GPU) implementations of the Lattice Boltzmann Method (LBM) for simulating thermal turbulent flows in porous media has also been investigated in Paper C. It is concluded that the GPU LBM implementations provide fast, efficient and accurate simulations of thermal turbulent flows in porous media, as well as for a wide range of other flows. Furthermore, in Paper E, a multiple GPU implementation of a hydrodynamic LBM model is presented.

Place, publisher, year, edition, pages
Luleå tekniska universitet, 2022
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544
Keywords
Porous media, Lattice Boltzmann Method, GPU Programming, Tomographic PIV, Laser Doppler Velocimetry
National Category
Fluid Mechanics Computational Mathematics
Research subject
Fluid Mechanics
Identifiers
urn:nbn:se:ltu:diva-93183 (URN)978-91-8048-149-6 (ISBN)978-91-8048-150-2 (ISBN)
Public defence
2022-11-18, E632, Laboratorievägen 14, Luleå, 09:00 (English)
Opponent
Supervisors
Funder
Swedish Research Council, 2017-04390
Available from: 2022-09-22 Created: 2022-09-22 Last updated: 2025-02-09Bibliographically approved

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Forslund, Tobias O. M.Larsson, I. A. SofiaHellström, J. Gunnar I.Lundström, T. Staffan

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