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|
|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|
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