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Vorticity Preserving Scheme for Unsteady Compressible Flows

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Computational Fluid Dynamics 2006

Summary

Taking advantage of the notion of vorticity preserving schemes introduced by Morton and Roe for acoustics, and on the residual-based schemes family proposed by Lerat and Corre, an implicit second order accurate residual-based vorticity preserving scheme is presented and applied to blade vortex interaction.

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References

  1. K. W. Morton and P. L. Roe: Vorticity-Preserving Lax-Wendroff-Type Scheme for the System Wave Equation, SIAM J. Sci. Comput., 23:170–192, 2001.

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  2. R. H. Ni: A Multiple-Grid Scheme for Solving the Euler Equations, AIAA Journal, 20:1565–1571, 1982.

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  3. A. Lerat and C. Corre: A Residual-Based Compact Scheme for the Compressible Navier-Stokes Equations. J. Comput. Phys., 170:642–675, 2001.

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  4. M. R. Visbal and D. V. Gaitonde: On the Use of High-Order Finite-Difference Schemes on Curvilinear and Deforming Meshes. J. Comput. Phys., 181:155–185, 2002.

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  5. S. Lee and D. Bershader: Head-On Parallel Blade-Vortex Interaction, AIAA Journal, 32:16–22, 1994.

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Correspondence to Fabrice Falissard .

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© 2009 Springer-Verlag Berlin Heidelberg

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Falissard, F., Lerat, A., Sidès, J. (2009). Vorticity Preserving Scheme for Unsteady Compressible Flows. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_15

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  • DOI: https://doi.org/10.1007/978-3-540-92779-2_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92778-5

  • Online ISBN: 978-3-540-92779-2

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