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2016 | 26 | 4 | 735-747
Tytuł artykułu

A dynamically adaptive lattice Boltzmann method for thermal convection problems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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 the 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 an 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 103 up to 108. To demonstrate the benefit of the employed AMR procedure for three-dimensional (3D) problems, results from the natural convection in a cubic cavity at Rayleigh numbers from 103 up to 105 are compared with benchmark results.
Rocznik
Tom
26
Numer
4
Strony
735-747
Opis fizyczny
Daty
wydano
2016
otrzymano
2015-09-30
poprawiono
2016-05-03
zaakceptowano
2016-06-08
Twórcy
  • Institute of Aerodynamics and Flow Technology, German Aerospace Center (DLR), Bunsenstrasse 10, 37073 Göttingen, Germany
  • Institute of Thermodynamics and Fluid Mechanics, University of Technology in Ilmenau, Helmholtzring 1, 98693 Ilmenau, Germany
  • Aerodynamics and Flight Mechanics Research Group, University of Southampton, Highfield Campus, Southampton SO17 1BJ, UK
autor
  • Institute of Aerodynamics and Flow Technology, German Aerospace Center (DLR), Bunsenstrasse 10, 37073 Göttingen, Germany
  • Institute of Thermodynamics and Fluid Mechanics, University of Technology in Ilmenau, Helmholtzring 1, 98693 Ilmenau, Germany
Bibliografia
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  • Azwadi Che Sidik, N. and Syahrullail, S. (2009). A three-dimension double-population thermal lattice BGK model for simulation of natural convection heat transfer in a cubic cavity, WSEAS Transactions on Mathematics 8(9): 561-571.
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  • Peng, Y., Shu, C. and Che, Y. (2003). A 3D incompressible thermal lattice Boltzman model and its application to simulation natural convection in a cubic cavity, Journal of Computational Physics 193(1): 260-274.
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  • Yan, Y. and Zu, Y. (2008). Numerical simulation of heat transfer and fluid flow past a rotating isothermal cylinder-A LBM approach, International Journal of Heat and Mass Transfer 51(9-10): 2519-2536.
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv26i4p735bwm
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