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Making the semi‐implicit space‐time conservation‐element solution‐element method of Jerez et al. more explicit
Author(s) -
Niessner Herbert
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310210
Subject(s) - element (criminal law) , flux (metallurgy) , computation , space (punctuation) , flow (mathematics) , work (physics) , spacetime , physics , energy flux , classical mechanics , mathematical analysis , mechanics , mathematics , computer science , thermodynamics , chemistry , algorithm , law , political science , organic chemistry , quantum mechanics , operating system , astronomy
In the beginning of the nineties a NASA‐group around S. C. Chang started to work on a new method for unsteady flow computation with seemingly good results. Thereby elements are space‐time domains. Within solution‐elements state and flux variables are linearized satisfying the underlying differential equation, within conservation‐elements space‐time flux is conserved. Proceeding this way for one‐dimensional pipe flow Jerez et al. include source terms with all cross‐section dependencies making the method semi‐implicit. We show that by taking simple measures as ‐ accounting for cross‐sections in state and flux variables of mass and energy or ‐ subtracting spatially integrated source terms from the flux the method may become more or completely explicit, particularly helpful when chemical species transport is involved. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)