Abstract
The Lattice Boltzmann (LB) method resolves partial differential equations in LB space and the more the number of involved physics and their coupling, the more important the difficulties of conversion to physical space. A general platform conversion between the LB solution space and physical space is provided here. Two test cases on 1D and 2D problems of constant thermophysical properties are presented first and two cases studies of axisymmetric plasma jets of argon and argon-dihydrogen gas were performed for highly variable thermophysical properties on temperature (~20kK) are discussed then. The results of the proposed LB and conversion framework models were found in excellent agreements with experimental and numerical results of classical methods (FDM, FVM) against others LB simulations attempts cited here and presenting substantial deviations.
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The editor is thankfully acknowledged for the invitation to contribute to the book “Thermo-Mechanics Applications and Engineering Technology”.
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Djebali, R., Abbassi, M.A., Jaouabi, A. (2018). A Lattice Boltzmann Model for the Simulation of Flows and Heat Transfer at Very High Temperature: A Dynamic Framework of Conversion to Physical Space with Test Cases. In: Driss, Z., Necib, B., Zhang, HC. (eds) Thermo-Mechanics Applications and Engineering Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-70957-4_7
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