ISSN:
0029-5981
Keywords:
finite elements
;
incompressible Navier-Stokes
;
upwinding schemes
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
This paper examines a new Galerkin method with scaled bubble functions which replicates the exact artificial diffusion methods in the case of 1-D scalar advection-diffusion and that leads to non-oscillatory solutions as the streamline upwinding algorithms for 2-D scalar advection-diffusion and incompressible Navier-Stokes. This method retains the satisfaction of the Babuska-Brezzi condition and, thus, leads to optimal performance in the incompressible limit. This method, when, combined with the recently proposed linear unconditionally stable algorithms of Simo and Armero (1993), yields a method for solution of the incompressible Navier-Stokes equations ideal for either diffusive or advection-dominated flows. Examples from scalar advection-diffusion and the solution of the incompressible Navier-Stokes equations are presented.
Additional Material:
24 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620380904
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