A dynamically adaptive lattice Boltzmann method for thermal convection problems
A dynamically adaptive lattice Boltzmann method for thermal convection problems
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 demonstrate the benefit of the used AMR procedure for three-dimensional (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.
735-747
Feldhusen, Kai
3f323d13-2cdf-4c52-b112-5538a712d4c5
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Wagner, Claus
bb61da3c-93e6-4f7d-b47d-0e52dba616c5
21 December 2016
Feldhusen, Kai
3f323d13-2cdf-4c52-b112-5538a712d4c5
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Wagner, Claus
bb61da3c-93e6-4f7d-b47d-0e52dba616c5
Feldhusen, Kai, 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), .
(doi:10.1515/amcs-2016-0051).
Abstract
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 demonstrate the benefit of the used AMR procedure for three-dimensional (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.
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Accepted/In Press date: 13 June 2016
Published date: 21 December 2016
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 397242
URI: http://eprints.soton.ac.uk/id/eprint/397242
ISSN: 1641-876X
PURE UUID: 6d365c4b-f050-4bc6-a5e5-9064e98d1c2b
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Date deposited: 30 Jun 2016 10:57
Last modified: 15 Mar 2024 03:52
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Author:
Kai Feldhusen
Author:
Claus Wagner
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