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A kinetic scheme with variable velocities and relative entropy

Roy, SS and Rao, SVR (2023) A kinetic scheme with variable velocities and relative entropy. In: Computers and Fluids, 265 .

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Official URL: https://doi.org/10.1016/j.compfluid.2023.106016


A new kinetic model is proposed where the equilibrium distribution with bounded support has a range of velocities about two average velocities in 1D. In 2D, the equilibrium distribution function has a range of velocities about four average velocities, one in each quadrant. In the associated finite volume scheme, the average velocities are used to enforce the Rankine�Hugoniot jump conditions for the numerical diffusion at cell-interfaces, thereby capturing steady discontinuities exactly. The variable range of velocities is used to provide additional diffusion in smooth regions. Further, a novel kinetic theory based expression for relative entropy is presented which, along with an additional criterion, is used to identify expansions and smooth flow regions. Appropriate flow tangency and far-field boundary conditions are formulated for the proposed kinetic model. Several benchmark 1D and 2D compressible flow test cases are solved to demonstrate the efficacy of the proposed solver. © 2023 Elsevier Ltd

Item Type: Journal Article
Publication: Computers and Fluids
Publisher: Elsevier Ltd
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Distribution functions; Entropy; Kinetic parameters, Average velocity; Boltzmann; Boltzmann scheme; Condition; Equilibrium distributions; Kinetic models; Kinetic scheme; R-H condition; Relative entropy; Variable velocities, Kinetic theory
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 28 Oct 2023 11:24
Last Modified: 28 Oct 2023 11:24
URI: https://eprints.iisc.ac.in/id/eprint/83118

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