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Development of Navier-Stokes Solvers on Hybrid Grids

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Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 75))

Summary

The ongoing joint work of two research groups to exploit the advantages of hybrid grids for the numerical simulation in fluid dynamics is presented. After referring to some general issues of the present solution method, the development of an FAS multigrid method is outlined in more detail. Further on three alternate attempts for hybrid grid generation are presented.

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References

  1. D. Hänel, A. Dervieux, R. Vilsmeier, O. Gloth, C. Viozat, and L.Fournier. Development of navier-stokes solvers on hybrid grids. In E. H. Hirschel, editor, Numerical Flow Simulation I, Notes on numerical Fluid Dynamics CNRS-DFG Collaborative Research Programme, Results 1996–1998, pages 89–111. Vieweg Verlag, 1998.

    Google Scholar 

  2. A. Brandt. Guide to multigrid development. In Multigrid methods, in Lecture notes in Mathematics, volume 960, pages 220–312. 1982.

    Google Scholar 

  3. M. H. Lallemand, H. Steve, and A. Dervieux. Unstructured multigridding by volume agglomeration: current status. Computers and Fluids, 21: 397–443, 1992.

    Article  MATH  Google Scholar 

  4. D. J. Mavriplis and V. Venkatakrishnan. A 3D agglomeration multigrid solver for the Reynolds-averaged Navier-Stokes equations on unstructured meshes. Int. J. for Num. Meth. in Fluids, 23:527–544, 1996.

    Google Scholar 

  5. N. Okamoto, K. Nakahashi, and S. Obayashi. A coarse grid generation algorithm for agglomeration multigrid method on unstructure grids. In Proceedings of 36th Aerospace Sciences Meeting and Exhibit, volume 98–0615, AIAA, Reno, 1998.

    Google Scholar 

  6. A. Dervieux, J. Francescatto, and G. Carré. Fast solver for unstructured finite volume methods. In Proceedings of First International Symposium on Finite Volumes for Complex Applications, 1996.

    Google Scholar 

  7. B. Van Leer. Towards the ultimate conservative difference scheme V: a second-order sequel to Godunov’s method. J. of Comput. Phys., 32: 361–370, 1979.

    Google Scholar 

  8. J.A. Désidéri and P.W. Hemker. Convergence analysis of the defect-correction iteration for hyperbolic problems. SIAM J. Sci. Comput., 16: 88–118, 1995.

    Article  MathSciNet  MATH  Google Scholar 

  9. P. Wesseling. An introduction to multigrid methods. John Wiley Sons, 1991.

    Google Scholar 

  10. R. Vilsmeier, O. Gloth, and D. Hänel. Generation of hybrid grids via element-conversion. In Proceedings of the 6th International Conference on Numerical Grid Generation in Computational Field Simulation, London, England, July 1998.

    Google Scholar 

  11. R. Vilsmeier and D.Hänel. Central and upwind solutions of the conservation equations on 3-d unstructured meshes. In Proceedings of the International Conference on Finite Elements in Fluids, Venezia, 1995.

    Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Hänel, D., Dervieux, A., Gloth, O., Fournier, L., Lanteri, S., Vilsmeier, R. (2001). Development of Navier-Stokes Solvers on Hybrid Grids. In: Hirschel, E.H. (eds) Numerical Flow Simulation II. Notes on Numerical Fluid Mechanics (NNFM), vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44567-8_4

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  • DOI: https://doi.org/10.1007/978-3-540-44567-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07485-1

  • Online ISBN: 978-3-540-44567-8

  • eBook Packages: Springer Book Archive

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