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A one point shock capturing kinetic scheme for hyperbolic conservation laws

Chandar, DDJ and Rao, SV Raghurama and Deshpande, SM (2006) A one point shock capturing kinetic scheme for hyperbolic conservation laws. In: 3rd International Conference on Computational Fluid Dynamics,, JUL 12-16, 2004, Toronto, Canada, pp. 779-784.

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We have presented a new low dissipative kinetic scheme based on a modified Courant Splitting of the molecular velocity through a parameter φ. Conditions for the split fluxes derived based on equilibrium determine φ for a one point shock. It turns out that φ is a function of the Left and Right states to the shock and that these states should satisfy the Rankine-Hugoniot Jump condition. Hence φ is utilized in regions where the gradients are sufficiently high, and is switched to unity in smooth regions. Numerical results confirm a discrete shock structure with a single interior point when the shock is aligned with the grid.

Item Type: Conference Paper
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 05 Aug 2010 09:46
Last Modified: 19 Sep 2010 06:12
URI: http://eprints.iisc.ac.in/id/eprint/30698

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