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Talk abstract:
Numerical Bifurcation Techniques for Chemical Reactor Problems
Vemuri Balakotaiah, University of Houston
Mathematical models of chemical reactors are known to exhibit very
complex bifurcation behavior due to the strong coupling between the
transport processes and chemical kinetics, and the exponential dependence
of the reaction rates on temperature. This talk will focus on the numerical
computation of singularities and bifurcation diagrams of chemical reactor
models with emphasis on the following aspects: (i) detection and
computation of singularities on the boundaries of the parameter space (ii)
discretization of the governing PDEs without destroying the underlying
spatial symmetries or creating spurious solutions (iii) computation and
continuation of high codimension singular points of discretized models of
very high dimension (N > 10,000).
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