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A Diffusion Regulator (DR) model for low dissipation in Upwind/Kinetic Schemes

Jaisankar, S and Raghurama Rao, SV (2005) A Diffusion Regulator (DR) model for low dissipation in Upwind/Kinetic Schemes. In: 17th AIAA Computational Fluid Dynamics Conference, 6-9, June 2005, Toronto, ON, Canada.

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Official URL: https://dx.doi.org/10.2514/6.2005-4700


A new diffusion regulation approach for better resolution of discontinuous solutions of Euler equations is presented here. A Dissipation Regulator (DR) model is introduced to compute dissipative flux of a finite volume scheme according to different flow conditions and hence to obtain a stable and low dissipative scheme. A regulator parameter introduced here is modeled as a function of jump in magnitude of mach number across the finite volume interface, with a minimum positive value of parameter being maintained to have sufficient dissipation for stability and to avoid unphysical expansion solutions. The maximum parameter value is restricted to unity and the spatial derivatives of the finite volume scheme always take values ranging from a central difference flux to that of a full upwind flux. The algorithm is demonstrated on the Peculiar Velocity based Upwind (PVU) Kinetic Scheme by introducing regulator parameters based on modified C-I-R splitting for molecular velocity. The DR-PVU scheme is tested for standard cases of subsonic, supersonic and hypersonic regimes for internal and external flows. The results show a very marked improvement over the parent scheme and have a scope to be compared with that of any popular high accuracy schemes. Although demonstrated for high resolution in a Kinetic Scheme, this concept of diffusion regulation can be easily extended to any upwind scheme or to any numerical scheme of high dissipation.

Item Type: Conference Paper
Publication: 17th AIAA Computational Fluid Dynamics Conference
Publisher: American Institute of Aeronautics and Astronautics Inc.
Additional Information: The copyright of this article belongs to American Institute of Aeronautics and Astronautics Inc.
Keywords: Computational fluid dynamics, Central difference; Discontinuous solutions; Finite volume schemes; Molecular velocity; Numerical scheme; Peculiar velocities; Spatial derivatives; Supersonic and hypersonic, Diffusion in liquids
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 27 Aug 2020 05:57
Last Modified: 27 Aug 2020 05:57
URI: http://eprints.iisc.ac.in/id/eprint/66033

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