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Simulation of Turbulent Thermal Convection Using Finite Volumes

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4310))

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Abstract

To simulate turbulent Rayleigh–Bénard convection in cylindrical domains an explicit/semi-implicit finite volume method with fourth order approximations in space was developed. Using this method and cylindrical staggered grids of about 11 million nodes clustered in vicinity of the boundary we performed simulations of turbulent Rayleigh–Bénard convection in wide cylindrical containers of the aspect ratios Γ = 5 and 10 and the Rayleigh number from 105 to 108. In the present paper the method, its numerical stability and mesh generation algorithm are discussed.

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Todor Boyanov Stefka Dimova Krassimir Georgiev Geno Nikolov

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Shishkina, O., Wagner, C. (2007). Simulation of Turbulent Thermal Convection Using Finite Volumes. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_86

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  • DOI: https://doi.org/10.1007/978-3-540-70942-8_86

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70940-4

  • Online ISBN: 978-3-540-70942-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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