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.
Agglomeration multigrid for the three-dimensional Euler equations
Eine durch die Zusammenlegung von Regelvolumina ermöglichte Mehrgitter-Methode zur Lösung dreidimensionaler Euler-Gleichungen
AIAA Journal ; 33 , 4 ; 633-640
1995
8 Seiten, 14 Bilder, 18 Quellen
Aufsatz (Zeitschrift)
Englisch
Maschennetz , Euler-Gleichung , Lösung (Ergebnis) , Näherungsverfahren , Vieleck , Konvergenz , geometrische Form , reibungsfreie Strömung , dreidimensionale Strömung , Flugzeugrumpf , Tragflügel , Differenzialgleichung , Integralgleichung , Rechenmodell , Algorithmus , Isotropie , Anströmwinkel , transsonische Strömung , Geschwindigkeitsverteilung , Strömungsgeschwindigkeit , Flugzeugtriebwerk , Landeklappe , Verfahrensvergleich
Agglomeration Multigrid for the Three-Dimensional Euler Equations
Online Contents | 1995
|Three dimensional unstructured multigrid for the Euler equations
TIBKAT | 1991
|