Stabilized FEM with shock-capturing for advection-diffusion problems

2001 | conference paper. A publication with affiliation to the University of Göttingen.

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​Stabilized FEM with shock-capturing for advection-diffusion problems​
Knopp, T.; Lube, G.   & Rapin, G.​ (2001)
ZAMM81 pp. S767​-S768. ​Annual Scientific Conference of the Society-for-Applied-Mathematics-and-Mechanics (GAMM 2000)​, UNIV GOTTINGEN, GOTTINGEN, GERMANY.
Berlin​: Wiley-v C H Verlag Gmbh.

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Authors
Knopp, Tobias; Lube, Gert ; Rapin, Gerd
Abstract
Stabilized FEM of streamline-diffusion type to advection-diffusion problems may exhibit local oscillations in crosswind direction(s). As a remedy, a shock-capturing variant is considered as an additional consistent (but nonlinear) stabilization. We present some preliminary results of the numerical analysis. The shock-capturing method has been applied within the numerical solution of the k/epsilon turbulence model of incompressible flow problems for the arising nonlinear advection-diffusion problems.
Issue Date
2001
Status
published
Publisher
Wiley-v C H Verlag Gmbh
Journal
ZAMM 
Conference
Annual Scientific Conference of the Society-for-Applied-Mathematics-and-Mechanics (GAMM 2000)
Conference Place
UNIV GOTTINGEN, GOTTINGEN, GERMANY
ISSN
0044-2267

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