Chudej, K.; Bauer, Marco; Pesch, H. J.; Schittkowski, K. Numerical simulation of a Molten carbonate fuel cell by partial differential algebraic equations. (English) Zbl 1147.65070 Breitner, Michael H. (ed.) et al., From nano to space. Applied mathematics inspired by Roland Bulirsch. Berlin: Springer (ISBN 978-3-540-74237-1/hbk). 57-70 (2008). Summary: The dynamical behavior of a molten carbonate fuel cell (MCFC) can be modeled by systems of partial differential algebraic equations (PDEAs) based on physical and chemical laws. Mathematical models for identification and control are considered as valuable tools to increase the life time of the expensive MCFC power plants, especially to derive control strategies for avoiding high temperature gradients and hot spots. We present numerical simulation results for a load change of a new one-dimensional counterflow MCFC model consisting of 34 nonlinear partial and ordinary differential algebraic-equations (PDEAs) based on physical and chemical laws. The PDAE system is discretized by the method of lines based on forward, backward, and central difference formulae, and the resulting large system of semi-explicit differential-algebraic equations is subsequently integrated by an implicit DAE solver.For the entire collection see [Zbl 1123.00006]. MSC: 65M20 Method of lines for initial value and initial-boundary value problems involving PDEs 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35L45 Initial value problems for first-order hyperbolic systems 35K05 Heat equation 45J05 Integro-ordinary differential equations 34A09 Implicit ordinary differential equations, differential-algebraic equations 80A25 Combustion 76V05 Reaction effects in flows 65L80 Numerical methods for differential-algebraic equations Keywords:numerical examples; heat equation; advection equation; finite difference method; integro-differential algebraic equation Software:PDEFIT; PCOMP; EASY - FIT PDFBibTeX XMLCite \textit{K. Chudej} et al., in: From nano to space. Applied mathematics inspired by Roland Bulirsch. Berlin: Springer. 57--70 (2008; Zbl 1147.65070) Full Text: DOI