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A dynamically adaptive lattice Boltzmann method for thermal convection problems

Feldhusen, Kai and Deiterding, Ralf and Wagner, Claus (2016) A dynamically adaptive lattice Boltzmann method for thermal convection problems. International Journal of Applied Mathematics and Computer Science, 26 (4), pp. 735-747. Technical University Press. doi: 10.1515/amcs-2016-0051. ISSN 1641-876X.

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Official URL: https://doi.org/10.1515/amcs-2016-0051


Utilizing the Boussinesq approximation, a double-population incompressible thermal lattice Boltzmann method (LBM) for forced and natural convection in two and three space dimensions is developed and validated. A block-structured dynamic adaptive mesh refinement (AMR) procedure tailored for LBM is applied to enable computationally efficient simulations of moderate to high Rayleigh number flows which are characterized by a large scale disparity in boundary layers and free stream flow. As test cases, the analytically accessible problem of a two-dimensional (2D) forced convection flow through two porous plates and the non-Cartesian configuration of a heated rotating cylinder are considered. The objective of the latter is to advance the boundary conditions for accurate treatment of curved boundaries and to demonstrate the effect on the solution. The effectiveness of the overall approach is demonstrated for the natural convection benchmark of a 2D cavity with differentially heated walls at Rayleigh numbers from 10^3 up to 10^8. To advance the used AMR procedure for threedimensional (3D) problems, results from the natural convection in a cubic cavity at Rayleigh numbers from 10^3 up to 10^5 are compared with benchmark results.

Item URL in elib:https://elib.dlr.de/98880/
Document Type:Article
Additional Information:2083-8492 (online) The next issue, 2016, Vol. 26, No. 4, will be a regular one, to be published at the end of December 2016.
Title:A dynamically adaptive lattice Boltzmann method for thermal convection problems
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Deiterding, RalfAerodynamics and Flight Mechanics Research Group, University of Southampton, United KigdomUNSPECIFIEDUNSPECIFIED
Date:30 December 2016
Journal or Publication Title:International Journal of Applied Mathematics and Computer Science
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 735-747
EditorsEmailEditor's ORCID iDORCID Put Code
Korbicz, JózefUniversity of Zielona Góra, PolandUNSPECIFIEDUNSPECIFIED
Ucinski, DariuszUniversity of Zielona Góra, PolandUNSPECIFIEDUNSPECIFIED
Publisher:Technical University Press
Keywords:Lattice Boltzmann method, thermal convection, incompressible, adaptive mesh refinement
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation and Validation (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Fluid Systems
Deposited By: Bachmann, Barbara
Deposited On:12 Jan 2017 16:25
Last Modified:05 Nov 2020 10:04

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