pub.1045876396
dimensions_id
correspondence
https://scigraph.springernature.com/explorer/license/
system
optimization problem
boundary conditions
carbonate fuel cell
2022-11-24T21:12
service life
parabolic-hyperbolic type
false
paper
chemical energy
equations
fuel cell modeling
side
Towards the Numerical Solution of a Large Scale PDAE Constrained Optimization Problem Arising in Molten Carbonate Fuel Cell Modeling
friendly energy production
ordinary differential equations
algebraic equations
cells
good correspondence
numerical results
https://doi.org/10.1007/0-387-30065-1_15
dimension 28
mixed parabolic-hyperbolic type
fuel gas
reaction
types
numerical simulations
behavior
differential equations
production
new 2D model
solution
ultimate goal
hand side
partial differential algebraic equations
Molten carbonate fuel cells (MCFCs) allow an efficient and environmentally friendly energy production by converting the chemical energy contained in the fuel gas in virtue of electro-chemical reactions. Their dynamical behavior can be described by large scale embedded systems of 1D or 2D nonlinear partial differential algebraic equations (PDAEs) up to dimension 28. They are of mixed parabolic-hyperbolic type with integral terms in the right hand side and initial and nonlinear boundary conditions, the latter governed by a system of ordinary differential equations.In this paper a new 2D model together with results of its numerical simulation is presented. The numerical results show a good correspondence with the expected dynamical behavior of MCFCs. The ultimate goal is to optimize this large scale nonlinear PDAE system to increase efficiency and service life of MCFCs.
2006-01-01
life
terms
conditions
problem
nonlinear partial differential-algebraic equations
modeling
dynamical behavior
gas
electro-chemical reactions
right-hand side
fuel cells
molten carbonate fuel cell
model
nonlinear boundary conditions
simulations
energy production
energy
integral term
chapter
chapters
2006
numerical solution
scale
results
goal
efficiency
243-253
differential-algebraic equations
PDAE system
large scale
virtue
cell modeling
978-0-387-30065-8
Large-Scale Nonlinear Optimization
978-0-387-30063-4
Springer Nature - SN SciGraph project
Kati
Sternberg
Springer Nature
Lehrstuhl für Ingenieurmathematik, Univ. Bayreuth, 95440, Bayreuth, Germany
Lehrstuhl für Ingenieurmathematik, Univ. Bayreuth, 95440, Bayreuth, Germany
Roma
M.
Kurt
Chudej
Pesch
Hans Josef
Mathematical Sciences
Applied Mathematics
Di Pillo
G.
doi
10.1007/0-387-30065-1_15