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A Kinetic Flux Difference Splitting method for compressible flows

Shrinath, KS and Maruthi, NH and Raghurama Rao, SV and Vasudeva Rao, V (2023) A Kinetic Flux Difference Splitting method for compressible flows. In: Computers and Fluids, 250 .

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Official URL: https://doi.org/10.1016/j.compfluid.2022.105702


A low diffusive flux difference splitting based kinetic scheme is developed based on a discrete velocity Boltzmann equation, with a novel three velocity model. While two discrete velocities are used for upwinding, the third discrete velocity is utilized to introduce appropriate additional numerical diffusion only in the expansion regions, identified using relative entropy (Kullback–Liebler divergence) at the cell-interface, along with the estimation of physical entropy. This strategy provides an interesting alternative to entropy fix, which is typically needed for low diffusive schemes. Grid-aligned steady discontinuities are captured exactly by fixing the primary numerical diffusion such that flux equivalence leads to zero numerical diffusion across discontinuities. Results for bench-mark test problems are presented for inviscid and viscous compressible flows.

Item Type: Journal Article
Publication: Computers and Fluids
Publisher: Elsevier Ltd
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Boltzmann equation; Compressible flow; Diffusion; Entropy; Kinetics, Boltzmann; Discontinuity capturing; Discrete velocity boltzmann scheme; Exact discontinuity capturing; Flux difference splitting; Kinetic flux difference splitting; Kinetic fluxes; Kullback-Liebler divergences; Relative entropy; Relative entropy (kullback�lieble divergence), Velocity
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 29 Dec 2022 06:09
Last Modified: 29 Dec 2022 06:09
URI: https://eprints.iisc.ac.in/id/eprint/78609

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