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Comparison of ODE methods for laminar reacting gas flow simulations
Author(s) -
van Veldhuizen S.,
Vuik C.,
Kleijn C.R.
Publication year - 2008
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20305
Subject(s) - ode , laminar flow , robustness (evolution) , steady state (chemistry) , transient (computer programming) , mathematics , stability (learning theory) , partial differential equation , mechanics , thermodynamics , control theory (sociology) , chemistry , computer science , physics , mathematical analysis , biochemistry , machine learning , gene , operating system , control (management) , artificial intelligence
Two‐dimensional transient simulations are presented of the transport phenomena and multispecies, multireaction chemistry in chemical vapor deposition (CVD). The transient simulations are run until steady state, such that the steady state can be validated against the steady state solutions from literature. We compare various time integration methods in terms of efficiency and robustness. Besides stability, which is important due to the stiffness of the problem, preservation of non‐negativity is crucial. It appears that this latter condition on a time integration method is much more restrictive toward the time step size than stability. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008