In this paper, unstructured grid flow solvers for the compressible Navier-Stokes equations have been surveyed. Significant progress has been made in the areas of spatial and temporal discretization and adaptive and parallel algorithms. Newly developed field equation turbulence models seem to mesh nicely with the unstructured grid framework. Based on these developments, it is safe to say that unstructured grid technology is almost on par with structured grid technology, although encumbered with additional memory and computational costs. With the best of the unstructured grid flow solvers, the computational costs are between two and three times those associated with a structured grid with the same number of unknowns. This overhead has to be balanced with the ability to compute flows over complex geometries and the ease of adaptation. The areas that require further research are thus the same as in structured grids. These include better and faster implicit/multigrid flow solvers that are insensitive to cell aspect ratios and grid stretching, improved higher order discretization techniques, better apriori or posteriori error estimates, and parallel algorithms. The status of unsteady flow solvers is far from satisfactory either for structured or unstructured grids. The use of hybrid meshes needs to be explored further to utilize data structures that can handle any type of tesselation. As unsteady flows and aeroacoustics are emerging as areas of interest, nondissipative schemes that also minimize dispersion have to be designed to be applicable to unstructured grids, which are nonuniform in general. In this respect as well as in the areas of error estimation and higher order schemes, there should be more interaction between finite volume and finite element communities.
Perspective on unstructured grid flow solvers
Berechnungsverfahren für Strömungsvorgänge mit Hilfe von unstrukturierten Netzwerken
AIAA Journal ; 34 , 3 ; 533-547
1996
15 Seiten, 9 Bilder, 189 Quellen
Article (Journal)
English
Finite-Elemente-Methode , Navier-Stokes-Gleichung , Euler-Gleichung , kompressible Strömung , laminare Strömung , turbulente Strömung , Aerodynamik , Strömungstechnik , Strömungsgeschwindigkeit , Windkanal , Modellmethode , Reynolds-Zahl , Geschwindigkeitsverteilung , Druckverteilung , Algorithmus , Mach-Zahl , Freistrahl , Differenzialgleichung , Überschallströmung , Stoßwelle , Strömungsvorgang
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