A multigrid procedure that makes use of coarse grids generated by the agglomeration of control volumes is advocated as a practical approach for solving the three-dimensional Euler equations on unstructured grids about complex configurations. It is shown that the agglomeration procedure can be tailored to achieve certain coarse grid properties such as the sizes of the coarse grids and aspect ratios of the coarse grid cells. The agglomeration is done as a preprocessing step and runs in linear time. The implications for multigrid of using arbitrary polyhedral coarse grids are discussed. The agglomeration multigrid technique compares very favourably with existing multigrid procedures both in terms of convergence rates and elapsed times. The main advantage of the present approach is the ease with which coarse grids of any desired degree of coarseness may be generated in three dimensions, without being constrained by considerations of geometry. Inviscid flows over a variety of complex configurations are computed using the agglomeration multigrid strategy.


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    Title :

    Agglomeration multigrid for the three-dimensional Euler equations


    Additional title:

    Eine durch die Zusammenlegung von Regelvolumina ermöglichte Mehrgitter-Methode zur Lösung dreidimensionaler Euler-Gleichungen


    Contributors:

    Published in:

    AIAA Journal ; 33 , 4 ; 633-640


    Publication date :

    1995


    Size :

    8 Seiten, 14 Bilder, 18 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




    Agglomeration multigrid for the three-dimensional Euler equations

    Venkatakrishnan, V. / Mavriplis, D. | AIAA | 1994


    Agglomeration Multigrid for the Three-dimensional Euler Equations

    Venkatakrishnan, V. / Mavriplis, D. J. / AIAA | British Library Conference Proceedings | 1994


    Agglomeration Multigrid for the Three-Dimensional Euler Equations

    Venkatakrishnan, V. | Online Contents | 1995


    Agglomeration multigrid for the three-dimensional Euler equations

    Venkatakrishnan, V. / Mavriplis, D. J. | AIAA | 1995


    Agglomeration Multigrid for the Three-Dimensional Euler Equations

    Venkatakrishnan, V. / Mavriplis, D. J. / AIAA | British Library Conference Proceedings | 1994