Numerical Bifurcation Techniques for Chemical Reactor Problems

Wednesday, September 17, 1997 - 9:30am - 10:30am
Keller 3-180
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).