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Erschienen in:
1987 | OriginalPaper | Buchkapitel
Finite Element Analysis in Computational Fluid Mechanics
verfasst von : A. J. Baker
Erschienen in: Nuclear Simulation
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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This paper highlights and illustrates the fundamental aspects that the finite element discrete approximation method has in development of key requirements for CFD algorithms for fluid mechanics conservation law systems The fundamental decision of trial and test space leads in a natural way to asymptotic error estimates that determine accuracy improvement rate with the choice. The issue of stability, hence dissipation and dispersion error mechanisms, is developed using a Taylor series extension. The choice of time-integration procedure is fundamental and analyzed. Comparisons to alternative theories are made, and representative numerical solutions are cited to add substance to the theoretical developments.