On projected Newton-Krylov solvers for instationary laminar reacting gas flows

Authors:
S. van Veldhuizen;C. Vuik;C. R. Kleijn
Affiliations:
Delft University of Technology, Delft Institute of Applied Mathematics and J.M. Burgers Centre for Fluid Mechanics, Mekelweg 4, 2628 CD Delft, The Netherlands;Delft University of Technology, Delft Institute of Applied Mathematics and J.M. Burgers Centre for Fluid Mechanics, Mekelweg 4, 2628 CD Delft, The Netherlands;Delft University of Technology, Department of Multi Scale Physics and J.M. Burgers Centre for Fluid Mechanics, Prins Bernardlaan 6, 2628 BW Delft, The Netherlands
Venue:
Journal of Computational Physics
Year:
2010

Citing 4
Cited 0

Choosing the forcing terms in an inexact Newton method

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Abstract

Numerical aspects of computational modeling of chemical vapor deposition are discussed. Large sparse strongly nonlinear algebraic systems are to be solved per time step. For this, inexact Newton methods and preconditioned Krylov subspace methods are suitable. To ensure positivity of concentrations, we propose a novel approach, namely a projected inexact Newton method. Unlike the commonly used method of clipping, this conserves mass. Efficiency of several preconditionings is compared. Our numerical tests culminate in an unusually large computation, namely a three-dimensional case with 17 species and 26 reactions.