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A staggered update procedure (SUP) for higher order cell-centre finite volume method

Subudhi, S and Balakrishnan, N (2020) A staggered update procedure (SUP) for higher order cell-centre finite volume method. In: AIAA Scitech 2020 Forum, 6-10 January 2020, Orlando, FL.

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Official URL: https://dx.doi.org/10.2514/6.2020-0808


The work introduces a novel Staggered Update Procedure (SUP) wherein cell-centre finite volume update happens in conjunction with a generalized finite difference based cell vertex update. This is in contrast with the classical finite volume method, where the vertex values are interpolated to a required accuracy. The SUP requires computation of inviscid fluxes, both along face normal and tangential directions. A recursive and coupled defect corrected Green-Gauss procedure based gradient finding is proposed for determining second order accurate gradients at face centroid, cell centroid and vertices. The gradients computed at cell centres and vertices are also used for solution reconstruction. This way both the inviscid and viscous fluxes are computed to second order acuracy, in contrast to the classical finite volume method where the viscous fluxes are only first order accurate on an irregular grid. Implicit time integration scheme is used for both cell and vertex update. The benefits of the proposed procedure is brought out, particularly by solving diffusion dominated problem, with implications in accurately resolving turbulent wall boundary layer and diffusion dominated wake flows. Also, the residual convergence and computational cost of the proposed methodology are discussed. © 2020, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

Item Type: Conference Paper
Publication: AIAA Scitech 2020 Forum
Publisher: American Institute of Aeronautics and Astronautics Inc, AIAA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 14 Mar 2021 12:28
Last Modified: 14 Mar 2021 12:28
URI: http://eprints.iisc.ac.in/id/eprint/66964

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