Abstract
In this short note, two multigrid approaches for the treatment of computational fluid dynamics problems are distinguished: the “optimal approach”, where the specific model is to be treated entirely by multigrid and all multigrid components are to be defined optimally tailored - versus the “acceleration approach”, where one only tries to introduce some standard multigrid components into classical methods or into codes that are already available. For some examples, in particular the anisotropic convection-diffusion model operator and the (incompressible) Navier-Stokes equations, the gain that can be achieved by the acceleration approach is discussed.
With respect to multigrid literature, we generally refer to the multigrid bibliography
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4. References
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© 1988 Springer-Verlag Berlin Heidelberg
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Solchenbach, K., Trottenberg, U. (1988). On the multigrid acceleration approach in computational fluid dynamics. In: Dierstein, R., Müller-Wichards, D., Wacker, HM. (eds) Parallel Computing in Science and Engineering. DFVLR-Seminar 1987. Lecture Notes in Computer Science, vol 295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18923-8_19
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DOI: https://doi.org/10.1007/3-540-18923-8_19
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