A One Point Shock Capturing Kinetic Scheme for Hyperbolic Conservation Laws

  • Dominic D. J. Chandar
  • S. V. Raghurama Rao
  • S. M. Deshpande
Conference paper

DOI: 10.1007/3-540-31801-1_113

Cite this paper as:
Chandar D.D.J., Raghurama Rao S.V., Deshpande S.M. (2006) A One Point Shock Capturing Kinetic Scheme for Hyperbolic Conservation Laws. In: Groth C., Zingg D.W. (eds) Computational Fluid Dynamics 2004. Springer, Berlin, Heidelberg

5 Concluding Remarks

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Dominic D. J. Chandar
    • 1
  • S. V. Raghurama Rao
    • 1
  • S. M. Deshpande
    • 1
  1. 1.Indian Institute Of ScienceBangaloreIndia

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